Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters
Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That...
Ausführliche Beschreibung
Autor*in: |
Wang, Zhe [verfasserIn] |
---|
Format: |
Artikel |
---|---|
Sprache: |
Englisch |
Erschienen: |
2015 |
---|
Schlagwörter: |
Non-intrusive computation methodology |
---|
Anmerkung: |
© Springer Science+Business Media Dordrecht 2015 |
---|
Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 84(2015), 2 vom: 23. Nov., Seite 527-548 |
---|---|
Übergeordnetes Werk: |
volume:84 ; year:2015 ; number:2 ; day:23 ; month:11 ; pages:527-548 |
Links: |
---|
DOI / URN: |
10.1007/s11071-015-2504-4 |
---|
Katalog-ID: |
OLC2051115249 |
---|
LEADER | 01000caa a22002652 4500 | ||
---|---|---|---|
001 | OLC2051115249 | ||
003 | DE-627 | ||
005 | 20230503231127.0 | ||
007 | tu | ||
008 | 200820s2015 xx ||||| 00| ||eng c | ||
024 | 7 | |a 10.1007/s11071-015-2504-4 |2 doi | |
035 | |a (DE-627)OLC2051115249 | ||
035 | |a (DE-He213)s11071-015-2504-4-p | ||
040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
041 | |a eng | ||
082 | 0 | 4 | |a 510 |q VZ |
084 | |a 11 |2 ssgn | ||
100 | 1 | |a Wang, Zhe |e verfasserin |4 aut | |
245 | 1 | 0 | |a Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters |
264 | 1 | |c 2015 | |
336 | |a Text |b txt |2 rdacontent | ||
337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
338 | |a Band |b nc |2 rdacarrier | ||
500 | |a © Springer Science+Business Media Dordrecht 2015 | ||
520 | |a Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters. | ||
650 | 4 | |a Non-intrusive computation methodology | |
650 | 4 | |a Absolute nodal coordinate formulation (ANCF) | |
650 | 4 | |a ANCF reference node (ANCF-RN) | |
650 | 4 | |a Interval parameters | |
650 | 4 | |a Chebyshev sampling methods | |
700 | 1 | |a Tian, Qiang |4 aut | |
700 | 1 | |a Hu, Haiyan |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Nonlinear dynamics |d Springer Netherlands, 1990 |g 84(2015), 2 vom: 23. Nov., Seite 527-548 |w (DE-627)130936782 |w (DE-600)1058624-6 |w (DE-576)034188126 |x 0924-090X |7 nnns |
773 | 1 | 8 | |g volume:84 |g year:2015 |g number:2 |g day:23 |g month:11 |g pages:527-548 |
856 | 4 | 1 | |u https://doi.org/10.1007/s11071-015-2504-4 |z lizenzpflichtig |3 Volltext |
912 | |a GBV_USEFLAG_A | ||
912 | |a SYSFLAG_A | ||
912 | |a GBV_OLC | ||
912 | |a SSG-OLC-TEC | ||
912 | |a SSG-OLC-PHY | ||
912 | |a SSG-OLC-CHE | ||
912 | |a SSG-OLC-MAT | ||
912 | |a SSG-OPC-MAT | ||
912 | |a GBV_ILN_70 | ||
951 | |a AR | ||
952 | |d 84 |j 2015 |e 2 |b 23 |c 11 |h 527-548 |
author_variant |
z w zw q t qt h h hh |
---|---|
matchkey_str |
article:0924090X:2015----::yaisfptargdlxbeutbdssesihnet |
hierarchy_sort_str |
2015 |
publishDate |
2015 |
allfields |
10.1007/s11071-015-2504-4 doi (DE-627)OLC2051115249 (DE-He213)s11071-015-2504-4-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Zhe verfasserin aut Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2015 Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters. Non-intrusive computation methodology Absolute nodal coordinate formulation (ANCF) ANCF reference node (ANCF-RN) Interval parameters Chebyshev sampling methods Tian, Qiang aut Hu, Haiyan aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 84(2015), 2 vom: 23. Nov., Seite 527-548 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:84 year:2015 number:2 day:23 month:11 pages:527-548 https://doi.org/10.1007/s11071-015-2504-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 84 2015 2 23 11 527-548 |
spelling |
10.1007/s11071-015-2504-4 doi (DE-627)OLC2051115249 (DE-He213)s11071-015-2504-4-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Zhe verfasserin aut Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2015 Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters. Non-intrusive computation methodology Absolute nodal coordinate formulation (ANCF) ANCF reference node (ANCF-RN) Interval parameters Chebyshev sampling methods Tian, Qiang aut Hu, Haiyan aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 84(2015), 2 vom: 23. Nov., Seite 527-548 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:84 year:2015 number:2 day:23 month:11 pages:527-548 https://doi.org/10.1007/s11071-015-2504-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 84 2015 2 23 11 527-548 |
allfields_unstemmed |
10.1007/s11071-015-2504-4 doi (DE-627)OLC2051115249 (DE-He213)s11071-015-2504-4-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Zhe verfasserin aut Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2015 Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters. Non-intrusive computation methodology Absolute nodal coordinate formulation (ANCF) ANCF reference node (ANCF-RN) Interval parameters Chebyshev sampling methods Tian, Qiang aut Hu, Haiyan aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 84(2015), 2 vom: 23. Nov., Seite 527-548 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:84 year:2015 number:2 day:23 month:11 pages:527-548 https://doi.org/10.1007/s11071-015-2504-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 84 2015 2 23 11 527-548 |
allfieldsGer |
10.1007/s11071-015-2504-4 doi (DE-627)OLC2051115249 (DE-He213)s11071-015-2504-4-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Zhe verfasserin aut Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2015 Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters. Non-intrusive computation methodology Absolute nodal coordinate formulation (ANCF) ANCF reference node (ANCF-RN) Interval parameters Chebyshev sampling methods Tian, Qiang aut Hu, Haiyan aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 84(2015), 2 vom: 23. Nov., Seite 527-548 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:84 year:2015 number:2 day:23 month:11 pages:527-548 https://doi.org/10.1007/s11071-015-2504-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 84 2015 2 23 11 527-548 |
allfieldsSound |
10.1007/s11071-015-2504-4 doi (DE-627)OLC2051115249 (DE-He213)s11071-015-2504-4-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Zhe verfasserin aut Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2015 Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters. Non-intrusive computation methodology Absolute nodal coordinate formulation (ANCF) ANCF reference node (ANCF-RN) Interval parameters Chebyshev sampling methods Tian, Qiang aut Hu, Haiyan aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 84(2015), 2 vom: 23. Nov., Seite 527-548 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:84 year:2015 number:2 day:23 month:11 pages:527-548 https://doi.org/10.1007/s11071-015-2504-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 84 2015 2 23 11 527-548 |
language |
English |
source |
Enthalten in Nonlinear dynamics 84(2015), 2 vom: 23. Nov., Seite 527-548 volume:84 year:2015 number:2 day:23 month:11 pages:527-548 |
sourceStr |
Enthalten in Nonlinear dynamics 84(2015), 2 vom: 23. Nov., Seite 527-548 volume:84 year:2015 number:2 day:23 month:11 pages:527-548 |
format_phy_str_mv |
Article |
institution |
findex.gbv.de |
topic_facet |
Non-intrusive computation methodology Absolute nodal coordinate formulation (ANCF) ANCF reference node (ANCF-RN) Interval parameters Chebyshev sampling methods |
dewey-raw |
510 |
isfreeaccess_bool |
false |
container_title |
Nonlinear dynamics |
authorswithroles_txt_mv |
Wang, Zhe @@aut@@ Tian, Qiang @@aut@@ Hu, Haiyan @@aut@@ |
publishDateDaySort_date |
2015-11-23T00:00:00Z |
hierarchy_top_id |
130936782 |
dewey-sort |
3510 |
id |
OLC2051115249 |
language_de |
englisch |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2051115249</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503231127.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2015 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11071-015-2504-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2051115249</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11071-015-2504-4-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wang, Zhe</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media Dordrecht 2015</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Non-intrusive computation methodology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Absolute nodal coordinate formulation (ANCF)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">ANCF reference node (ANCF-RN)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Interval parameters</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chebyshev sampling methods</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tian, Qiang</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hu, Haiyan</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Nonlinear dynamics</subfield><subfield code="d">Springer Netherlands, 1990</subfield><subfield code="g">84(2015), 2 vom: 23. Nov., Seite 527-548</subfield><subfield code="w">(DE-627)130936782</subfield><subfield code="w">(DE-600)1058624-6</subfield><subfield code="w">(DE-576)034188126</subfield><subfield code="x">0924-090X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:84</subfield><subfield code="g">year:2015</subfield><subfield code="g">number:2</subfield><subfield code="g">day:23</subfield><subfield code="g">month:11</subfield><subfield code="g">pages:527-548</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11071-015-2504-4</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-CHE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">84</subfield><subfield code="j">2015</subfield><subfield code="e">2</subfield><subfield code="b">23</subfield><subfield code="c">11</subfield><subfield code="h">527-548</subfield></datafield></record></collection>
|
author |
Wang, Zhe |
spellingShingle |
Wang, Zhe ddc 510 ssgn 11 misc Non-intrusive computation methodology misc Absolute nodal coordinate formulation (ANCF) misc ANCF reference node (ANCF-RN) misc Interval parameters misc Chebyshev sampling methods Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters |
authorStr |
Wang, Zhe |
ppnlink_with_tag_str_mv |
@@773@@(DE-627)130936782 |
format |
Article |
dewey-ones |
510 - Mathematics |
delete_txt_mv |
keep |
author_role |
aut aut aut |
collection |
OLC |
remote_str |
false |
illustrated |
Not Illustrated |
issn |
0924-090X |
topic_title |
510 VZ 11 ssgn Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters Non-intrusive computation methodology Absolute nodal coordinate formulation (ANCF) ANCF reference node (ANCF-RN) Interval parameters Chebyshev sampling methods |
topic |
ddc 510 ssgn 11 misc Non-intrusive computation methodology misc Absolute nodal coordinate formulation (ANCF) misc ANCF reference node (ANCF-RN) misc Interval parameters misc Chebyshev sampling methods |
topic_unstemmed |
ddc 510 ssgn 11 misc Non-intrusive computation methodology misc Absolute nodal coordinate formulation (ANCF) misc ANCF reference node (ANCF-RN) misc Interval parameters misc Chebyshev sampling methods |
topic_browse |
ddc 510 ssgn 11 misc Non-intrusive computation methodology misc Absolute nodal coordinate formulation (ANCF) misc ANCF reference node (ANCF-RN) misc Interval parameters misc Chebyshev sampling methods |
format_facet |
Aufsätze Gedruckte Aufsätze |
format_main_str_mv |
Text Zeitschrift/Artikel |
carriertype_str_mv |
nc |
hierarchy_parent_title |
Nonlinear dynamics |
hierarchy_parent_id |
130936782 |
dewey-tens |
510 - Mathematics |
hierarchy_top_title |
Nonlinear dynamics |
isfreeaccess_txt |
false |
familylinks_str_mv |
(DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 |
title |
Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters |
ctrlnum |
(DE-627)OLC2051115249 (DE-He213)s11071-015-2504-4-p |
title_full |
Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters |
author_sort |
Wang, Zhe |
journal |
Nonlinear dynamics |
journalStr |
Nonlinear dynamics |
lang_code |
eng |
isOA_bool |
false |
dewey-hundreds |
500 - Science |
recordtype |
marc |
publishDateSort |
2015 |
contenttype_str_mv |
txt |
container_start_page |
527 |
author_browse |
Wang, Zhe Tian, Qiang Hu, Haiyan |
container_volume |
84 |
class |
510 VZ 11 ssgn |
format_se |
Aufsätze |
author-letter |
Wang, Zhe |
doi_str_mv |
10.1007/s11071-015-2504-4 |
dewey-full |
510 |
title_sort |
dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters |
title_auth |
Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters |
abstract |
Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters. © Springer Science+Business Media Dordrecht 2015 |
abstractGer |
Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters. © Springer Science+Business Media Dordrecht 2015 |
abstract_unstemmed |
Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters. © Springer Science+Business Media Dordrecht 2015 |
collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 |
container_issue |
2 |
title_short |
Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters |
url |
https://doi.org/10.1007/s11071-015-2504-4 |
remote_bool |
false |
author2 |
Tian, Qiang Hu, Haiyan |
author2Str |
Tian, Qiang Hu, Haiyan |
ppnlink |
130936782 |
mediatype_str_mv |
n |
isOA_txt |
false |
hochschulschrift_bool |
false |
doi_str |
10.1007/s11071-015-2504-4 |
up_date |
2024-07-04T03:37:00.439Z |
_version_ |
1803618060018384896 |
fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2051115249</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503231127.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2015 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11071-015-2504-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2051115249</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11071-015-2504-4-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wang, Zhe</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media Dordrecht 2015</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract A non-intrusive computation methodology is proposed to study the dynamics of rigid–flexible multibody systems with a large number of uncertain interval parameters. The rigid–flexible multibody system is meshed by using a unified mesh of the absolute nodal coordinate formulation (ANCF). That is, the flexible parts are meshed by using the finite elements of the ANCF, while the rigid parts are described via the ANCF reference nodes (ANCF-RNs). Firstly, the interval differential-algebraic equations are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev sampling methods, including Chebyshev tensor product sampling method and Chebyshev collocation method, are used to transform the nonlinear interval algebraic equations into sets of nonlinear algebraic equations with deterministic sampling parameters. The proposed computation methodology is non-intrusive because the original generalized-alpha algorithm is not amended. OpenMP directives are also used to parallelize the solving process of these deterministic nonlinear algebraic equations. To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted Chebyshev surrogate models. Finally, two numerical examples are studied to validate the proposed methodology. The first example is used to check the effectiveness of the proposed methodology. And the second one of a complex rigid–flexible robot with uncertain interval parameters shows the effectiveness of the proposed computation methodology in the dynamics analysis of complicated spatial rigid–flexible multibody systems with a large number of uncertain interval parameters.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Non-intrusive computation methodology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Absolute nodal coordinate formulation (ANCF)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">ANCF reference node (ANCF-RN)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Interval parameters</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chebyshev sampling methods</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tian, Qiang</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hu, Haiyan</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Nonlinear dynamics</subfield><subfield code="d">Springer Netherlands, 1990</subfield><subfield code="g">84(2015), 2 vom: 23. Nov., Seite 527-548</subfield><subfield code="w">(DE-627)130936782</subfield><subfield code="w">(DE-600)1058624-6</subfield><subfield code="w">(DE-576)034188126</subfield><subfield code="x">0924-090X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:84</subfield><subfield code="g">year:2015</subfield><subfield code="g">number:2</subfield><subfield code="g">day:23</subfield><subfield code="g">month:11</subfield><subfield code="g">pages:527-548</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11071-015-2504-4</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-CHE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">84</subfield><subfield code="j">2015</subfield><subfield code="e">2</subfield><subfield code="b">23</subfield><subfield code="c">11</subfield><subfield code="h">527-548</subfield></datafield></record></collection>
|
score |
7.3974905 |