An efficient computational method for vibration analysis of unsymmetric piecewise-linear dynamical systems with multiple degrees of freedom
Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical i...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yu, S. D. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media Dordrecht 2012 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 71(2012), 3 vom: 27. Nov., Seite 493-504 |
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| Übergeordnetes Werk: |
volume:71 ; year:2012 ; number:3 ; day:27 ; month:11 ; pages:493-504 |
| Links: |
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| DOI / URN: |
10.1007/s11071-012-0676-8 |
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OLC2051096546 |
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| 520 | |a Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical integration scheme. At each time step, an auxiliary displacement vector, complementary to the contact force vector, is introduced. With the help of a simple transformation, the vibration problem is reduced to a standard linear complementarity problem (LCP) for which an accurate solution can be obtained. Responses of an SDOF system with a gap-activated spring and a 3-DOF system with three gap-activated springs under harmonic excitations are obtained using the proposed method, and compared with the results in the literature. Good agreement is observed. The proposed method has also been successfully applied to a piecewise linear dynamical system with 1000 DOF’s and 1000 gap-activated springs under harmonic excitations. | ||
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10.1007/s11071-012-0676-8 doi (DE-627)OLC2051096546 (DE-He213)s11071-012-0676-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yu, S. D. verfasserin aut An efficient computational method for vibration analysis of unsymmetric piecewise-linear dynamical systems with multiple degrees of freedom 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2012 Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical integration scheme. At each time step, an auxiliary displacement vector, complementary to the contact force vector, is introduced. With the help of a simple transformation, the vibration problem is reduced to a standard linear complementarity problem (LCP) for which an accurate solution can be obtained. Responses of an SDOF system with a gap-activated spring and a 3-DOF system with three gap-activated springs under harmonic excitations are obtained using the proposed method, and compared with the results in the literature. Good agreement is observed. The proposed method has also been successfully applied to a piecewise linear dynamical system with 1000 DOF’s and 1000 gap-activated springs under harmonic excitations. Piecewise linear dynamical system Multiple degrees of freedom Vibration Enthalten in Nonlinear dynamics Springer Netherlands, 1990 71(2012), 3 vom: 27. Nov., Seite 493-504 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:71 year:2012 number:3 day:27 month:11 pages:493-504 https://doi.org/10.1007/s11071-012-0676-8 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 GBV_ILN_2006 AR 71 2012 3 27 11 493-504 |
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10.1007/s11071-012-0676-8 doi (DE-627)OLC2051096546 (DE-He213)s11071-012-0676-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yu, S. D. verfasserin aut An efficient computational method for vibration analysis of unsymmetric piecewise-linear dynamical systems with multiple degrees of freedom 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2012 Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical integration scheme. At each time step, an auxiliary displacement vector, complementary to the contact force vector, is introduced. With the help of a simple transformation, the vibration problem is reduced to a standard linear complementarity problem (LCP) for which an accurate solution can be obtained. Responses of an SDOF system with a gap-activated spring and a 3-DOF system with three gap-activated springs under harmonic excitations are obtained using the proposed method, and compared with the results in the literature. Good agreement is observed. The proposed method has also been successfully applied to a piecewise linear dynamical system with 1000 DOF’s and 1000 gap-activated springs under harmonic excitations. Piecewise linear dynamical system Multiple degrees of freedom Vibration Enthalten in Nonlinear dynamics Springer Netherlands, 1990 71(2012), 3 vom: 27. Nov., Seite 493-504 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:71 year:2012 number:3 day:27 month:11 pages:493-504 https://doi.org/10.1007/s11071-012-0676-8 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 GBV_ILN_2006 AR 71 2012 3 27 11 493-504 |
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10.1007/s11071-012-0676-8 doi (DE-627)OLC2051096546 (DE-He213)s11071-012-0676-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yu, S. D. verfasserin aut An efficient computational method for vibration analysis of unsymmetric piecewise-linear dynamical systems with multiple degrees of freedom 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2012 Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical integration scheme. At each time step, an auxiliary displacement vector, complementary to the contact force vector, is introduced. With the help of a simple transformation, the vibration problem is reduced to a standard linear complementarity problem (LCP) for which an accurate solution can be obtained. Responses of an SDOF system with a gap-activated spring and a 3-DOF system with three gap-activated springs under harmonic excitations are obtained using the proposed method, and compared with the results in the literature. Good agreement is observed. The proposed method has also been successfully applied to a piecewise linear dynamical system with 1000 DOF’s and 1000 gap-activated springs under harmonic excitations. Piecewise linear dynamical system Multiple degrees of freedom Vibration Enthalten in Nonlinear dynamics Springer Netherlands, 1990 71(2012), 3 vom: 27. Nov., Seite 493-504 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:71 year:2012 number:3 day:27 month:11 pages:493-504 https://doi.org/10.1007/s11071-012-0676-8 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 GBV_ILN_2006 AR 71 2012 3 27 11 493-504 |
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10.1007/s11071-012-0676-8 doi (DE-627)OLC2051096546 (DE-He213)s11071-012-0676-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yu, S. D. verfasserin aut An efficient computational method for vibration analysis of unsymmetric piecewise-linear dynamical systems with multiple degrees of freedom 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2012 Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical integration scheme. At each time step, an auxiliary displacement vector, complementary to the contact force vector, is introduced. With the help of a simple transformation, the vibration problem is reduced to a standard linear complementarity problem (LCP) for which an accurate solution can be obtained. Responses of an SDOF system with a gap-activated spring and a 3-DOF system with three gap-activated springs under harmonic excitations are obtained using the proposed method, and compared with the results in the literature. Good agreement is observed. The proposed method has also been successfully applied to a piecewise linear dynamical system with 1000 DOF’s and 1000 gap-activated springs under harmonic excitations. Piecewise linear dynamical system Multiple degrees of freedom Vibration Enthalten in Nonlinear dynamics Springer Netherlands, 1990 71(2012), 3 vom: 27. Nov., Seite 493-504 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:71 year:2012 number:3 day:27 month:11 pages:493-504 https://doi.org/10.1007/s11071-012-0676-8 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 GBV_ILN_2006 AR 71 2012 3 27 11 493-504 |
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10.1007/s11071-012-0676-8 doi (DE-627)OLC2051096546 (DE-He213)s11071-012-0676-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yu, S. D. verfasserin aut An efficient computational method for vibration analysis of unsymmetric piecewise-linear dynamical systems with multiple degrees of freedom 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2012 Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical integration scheme. At each time step, an auxiliary displacement vector, complementary to the contact force vector, is introduced. With the help of a simple transformation, the vibration problem is reduced to a standard linear complementarity problem (LCP) for which an accurate solution can be obtained. Responses of an SDOF system with a gap-activated spring and a 3-DOF system with three gap-activated springs under harmonic excitations are obtained using the proposed method, and compared with the results in the literature. Good agreement is observed. The proposed method has also been successfully applied to a piecewise linear dynamical system with 1000 DOF’s and 1000 gap-activated springs under harmonic excitations. Piecewise linear dynamical system Multiple degrees of freedom Vibration Enthalten in Nonlinear dynamics Springer Netherlands, 1990 71(2012), 3 vom: 27. Nov., Seite 493-504 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:71 year:2012 number:3 day:27 month:11 pages:493-504 https://doi.org/10.1007/s11071-012-0676-8 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 GBV_ILN_2006 AR 71 2012 3 27 11 493-504 |
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An efficient computational method for vibration analysis of unsymmetric piecewise-linear dynamical systems with multiple degrees of freedom |
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Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical integration scheme. At each time step, an auxiliary displacement vector, complementary to the contact force vector, is introduced. With the help of a simple transformation, the vibration problem is reduced to a standard linear complementarity problem (LCP) for which an accurate solution can be obtained. Responses of an SDOF system with a gap-activated spring and a 3-DOF system with three gap-activated springs under harmonic excitations are obtained using the proposed method, and compared with the results in the literature. Good agreement is observed. The proposed method has also been successfully applied to a piecewise linear dynamical system with 1000 DOF’s and 1000 gap-activated springs under harmonic excitations. © Springer Science+Business Media Dordrecht 2012 |
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Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical integration scheme. At each time step, an auxiliary displacement vector, complementary to the contact force vector, is introduced. With the help of a simple transformation, the vibration problem is reduced to a standard linear complementarity problem (LCP) for which an accurate solution can be obtained. Responses of an SDOF system with a gap-activated spring and a 3-DOF system with three gap-activated springs under harmonic excitations are obtained using the proposed method, and compared with the results in the literature. Good agreement is observed. The proposed method has also been successfully applied to a piecewise linear dynamical system with 1000 DOF’s and 1000 gap-activated springs under harmonic excitations. © Springer Science+Business Media Dordrecht 2012 |
| abstract_unstemmed |
Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical integration scheme. At each time step, an auxiliary displacement vector, complementary to the contact force vector, is introduced. With the help of a simple transformation, the vibration problem is reduced to a standard linear complementarity problem (LCP) for which an accurate solution can be obtained. Responses of an SDOF system with a gap-activated spring and a 3-DOF system with three gap-activated springs under harmonic excitations are obtained using the proposed method, and compared with the results in the literature. Good agreement is observed. The proposed method has also been successfully applied to a piecewise linear dynamical system with 1000 DOF’s and 1000 gap-activated springs under harmonic excitations. © Springer Science+Business Media Dordrecht 2012 |
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10.1007/s11071-012-0676-8 |
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2024-07-04T03:34:29.126Z |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2051096546</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503225709.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2012 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11071-012-0676-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2051096546</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11071-012-0676-8-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">Yu, S. D.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An efficient computational method for vibration analysis of unsymmetric piecewise-linear dynamical systems with multiple degrees of freedom</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</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 2012</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper presents an efficient computational method for determining vibrational responses of piecewise-linear dynamical systems with multiple degrees of freedom (MDOF) and an arbitrary number of gap-activated springs. A time-domain solution is obtained using the Bozzak–Newmark numerical integration scheme. At each time step, an auxiliary displacement vector, complementary to the contact force vector, is introduced. With the help of a simple transformation, the vibration problem is reduced to a standard linear complementarity problem (LCP) for which an accurate solution can be obtained. Responses of an SDOF system with a gap-activated spring and a 3-DOF system with three gap-activated springs under harmonic excitations are obtained using the proposed method, and compared with the results in the literature. Good agreement is observed. 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