A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation
Abstract In this investigation, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation. U...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wang, Qingshan [verfasserIn] Shi, Dongyan [verfasserIn] Shi, Xianjie [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Meccanica - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1966, 51(2015), 8 vom: 14. Dez., Seite 1985-2017 |
|---|---|
| Übergeordnetes Werk: |
volume:51 ; year:2015 ; number:8 ; day:14 ; month:12 ; pages:1985-2017 |
| Links: |
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| DOI / URN: |
10.1007/s11012-015-0345-3 |
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| Katalog-ID: |
SPR015698688 |
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| 100 | 1 | |a Wang, Qingshan |e verfasserin |4 aut | |
| 245 | 1 | 2 | |a A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation |
| 264 | 1 | |c 2015 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
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| 520 | |a Abstract In this investigation, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation. Under the current framework, regardless of boundary conditions, each of the displacement and rotation components of the plates is described as a standard Fourier cosine series supplemented with some auxiliary functions introduced to eliminate any possible discontinuities of the original displacements and their derivatives throughout the entire plate area including the boundaries and then to effectively enhance the convergence of the results. All the unknown expansion coefficients are treated as the generalized coordinates and determined by using the Raleigh–Ritz method. The current method can be universally applied to a variety of boundary conditions including all classical boundaries and their combinations and arbitrary elastic restraints. The excellent accuracy and reliability of current solutions is demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the current method can also predict the vibration characteristics of the plate with internal line supports and elastic foundation. Comprehensive studies on the effects of elastic restraint parameters, locations of line supports and foundation coefficients are also reported. New results for plates subjected to elastic boundary restraints, arbitrary internal line supports in both directions and resting on elastic foundations are presented, which may serve as benchmark solutions for future researches. | ||
| 650 | 4 | |a Free vibration |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Moderately thick orthotropic rectangular plate |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a General boundary conditions |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Modified Fourier series |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Internal line supports |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Elastic foundations |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Shi, Dongyan |e verfasserin |4 aut | |
| 700 | 1 | |a Shi, Xianjie |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Meccanica |d Dordrecht [u.a.] : Springer Science + Business Media B.V, 1966 |g 51(2015), 8 vom: 14. Dez., Seite 1985-2017 |w (DE-627)311009638 |w (DE-600)2004031-3 |x 1572-9648 |7 nnns |
| 773 | 1 | 8 | |g volume:51 |g year:2015 |g number:8 |g day:14 |g month:12 |g pages:1985-2017 |
| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s11012-015-0345-3 |z lizenzpflichtig |3 Volltext |
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| 952 | |d 51 |j 2015 |e 8 |b 14 |c 12 |h 1985-2017 | ||
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10.1007/s11012-015-0345-3 doi (DE-627)SPR015698688 (SPR)s11012-015-0345-3-e DE-627 ger DE-627 rakwb eng 600 ASE 33.11 bkl 50.30 bkl 50.31 bkl Wang, Qingshan verfasserin aut A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this investigation, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation. Under the current framework, regardless of boundary conditions, each of the displacement and rotation components of the plates is described as a standard Fourier cosine series supplemented with some auxiliary functions introduced to eliminate any possible discontinuities of the original displacements and their derivatives throughout the entire plate area including the boundaries and then to effectively enhance the convergence of the results. All the unknown expansion coefficients are treated as the generalized coordinates and determined by using the Raleigh–Ritz method. The current method can be universally applied to a variety of boundary conditions including all classical boundaries and their combinations and arbitrary elastic restraints. The excellent accuracy and reliability of current solutions is demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the current method can also predict the vibration characteristics of the plate with internal line supports and elastic foundation. Comprehensive studies on the effects of elastic restraint parameters, locations of line supports and foundation coefficients are also reported. New results for plates subjected to elastic boundary restraints, arbitrary internal line supports in both directions and resting on elastic foundations are presented, which may serve as benchmark solutions for future researches. Free vibration (dpeaa)DE-He213 Moderately thick orthotropic rectangular plate (dpeaa)DE-He213 General boundary conditions (dpeaa)DE-He213 Modified Fourier series (dpeaa)DE-He213 Internal line supports (dpeaa)DE-He213 Elastic foundations (dpeaa)DE-He213 Shi, Dongyan verfasserin aut Shi, Xianjie verfasserin aut Enthalten in Meccanica Dordrecht [u.a.] : Springer Science + Business Media B.V, 1966 51(2015), 8 vom: 14. Dez., Seite 1985-2017 (DE-627)311009638 (DE-600)2004031-3 1572-9648 nnns volume:51 year:2015 number:8 day:14 month:12 pages:1985-2017 https://dx.doi.org/10.1007/s11012-015-0345-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.11 ASE 50.30 ASE 50.31 ASE AR 51 2015 8 14 12 1985-2017 |
| spelling |
10.1007/s11012-015-0345-3 doi (DE-627)SPR015698688 (SPR)s11012-015-0345-3-e DE-627 ger DE-627 rakwb eng 600 ASE 33.11 bkl 50.30 bkl 50.31 bkl Wang, Qingshan verfasserin aut A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this investigation, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation. Under the current framework, regardless of boundary conditions, each of the displacement and rotation components of the plates is described as a standard Fourier cosine series supplemented with some auxiliary functions introduced to eliminate any possible discontinuities of the original displacements and their derivatives throughout the entire plate area including the boundaries and then to effectively enhance the convergence of the results. All the unknown expansion coefficients are treated as the generalized coordinates and determined by using the Raleigh–Ritz method. The current method can be universally applied to a variety of boundary conditions including all classical boundaries and their combinations and arbitrary elastic restraints. The excellent accuracy and reliability of current solutions is demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the current method can also predict the vibration characteristics of the plate with internal line supports and elastic foundation. Comprehensive studies on the effects of elastic restraint parameters, locations of line supports and foundation coefficients are also reported. New results for plates subjected to elastic boundary restraints, arbitrary internal line supports in both directions and resting on elastic foundations are presented, which may serve as benchmark solutions for future researches. Free vibration (dpeaa)DE-He213 Moderately thick orthotropic rectangular plate (dpeaa)DE-He213 General boundary conditions (dpeaa)DE-He213 Modified Fourier series (dpeaa)DE-He213 Internal line supports (dpeaa)DE-He213 Elastic foundations (dpeaa)DE-He213 Shi, Dongyan verfasserin aut Shi, Xianjie verfasserin aut Enthalten in Meccanica Dordrecht [u.a.] : Springer Science + Business Media B.V, 1966 51(2015), 8 vom: 14. Dez., Seite 1985-2017 (DE-627)311009638 (DE-600)2004031-3 1572-9648 nnns volume:51 year:2015 number:8 day:14 month:12 pages:1985-2017 https://dx.doi.org/10.1007/s11012-015-0345-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.11 ASE 50.30 ASE 50.31 ASE AR 51 2015 8 14 12 1985-2017 |
| allfields_unstemmed |
10.1007/s11012-015-0345-3 doi (DE-627)SPR015698688 (SPR)s11012-015-0345-3-e DE-627 ger DE-627 rakwb eng 600 ASE 33.11 bkl 50.30 bkl 50.31 bkl Wang, Qingshan verfasserin aut A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this investigation, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation. Under the current framework, regardless of boundary conditions, each of the displacement and rotation components of the plates is described as a standard Fourier cosine series supplemented with some auxiliary functions introduced to eliminate any possible discontinuities of the original displacements and their derivatives throughout the entire plate area including the boundaries and then to effectively enhance the convergence of the results. All the unknown expansion coefficients are treated as the generalized coordinates and determined by using the Raleigh–Ritz method. The current method can be universally applied to a variety of boundary conditions including all classical boundaries and their combinations and arbitrary elastic restraints. The excellent accuracy and reliability of current solutions is demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the current method can also predict the vibration characteristics of the plate with internal line supports and elastic foundation. Comprehensive studies on the effects of elastic restraint parameters, locations of line supports and foundation coefficients are also reported. New results for plates subjected to elastic boundary restraints, arbitrary internal line supports in both directions and resting on elastic foundations are presented, which may serve as benchmark solutions for future researches. Free vibration (dpeaa)DE-He213 Moderately thick orthotropic rectangular plate (dpeaa)DE-He213 General boundary conditions (dpeaa)DE-He213 Modified Fourier series (dpeaa)DE-He213 Internal line supports (dpeaa)DE-He213 Elastic foundations (dpeaa)DE-He213 Shi, Dongyan verfasserin aut Shi, Xianjie verfasserin aut Enthalten in Meccanica Dordrecht [u.a.] : Springer Science + Business Media B.V, 1966 51(2015), 8 vom: 14. Dez., Seite 1985-2017 (DE-627)311009638 (DE-600)2004031-3 1572-9648 nnns volume:51 year:2015 number:8 day:14 month:12 pages:1985-2017 https://dx.doi.org/10.1007/s11012-015-0345-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.11 ASE 50.30 ASE 50.31 ASE AR 51 2015 8 14 12 1985-2017 |
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10.1007/s11012-015-0345-3 doi (DE-627)SPR015698688 (SPR)s11012-015-0345-3-e DE-627 ger DE-627 rakwb eng 600 ASE 33.11 bkl 50.30 bkl 50.31 bkl Wang, Qingshan verfasserin aut A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this investigation, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation. Under the current framework, regardless of boundary conditions, each of the displacement and rotation components of the plates is described as a standard Fourier cosine series supplemented with some auxiliary functions introduced to eliminate any possible discontinuities of the original displacements and their derivatives throughout the entire plate area including the boundaries and then to effectively enhance the convergence of the results. All the unknown expansion coefficients are treated as the generalized coordinates and determined by using the Raleigh–Ritz method. The current method can be universally applied to a variety of boundary conditions including all classical boundaries and their combinations and arbitrary elastic restraints. The excellent accuracy and reliability of current solutions is demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the current method can also predict the vibration characteristics of the plate with internal line supports and elastic foundation. Comprehensive studies on the effects of elastic restraint parameters, locations of line supports and foundation coefficients are also reported. New results for plates subjected to elastic boundary restraints, arbitrary internal line supports in both directions and resting on elastic foundations are presented, which may serve as benchmark solutions for future researches. Free vibration (dpeaa)DE-He213 Moderately thick orthotropic rectangular plate (dpeaa)DE-He213 General boundary conditions (dpeaa)DE-He213 Modified Fourier series (dpeaa)DE-He213 Internal line supports (dpeaa)DE-He213 Elastic foundations (dpeaa)DE-He213 Shi, Dongyan verfasserin aut Shi, Xianjie verfasserin aut Enthalten in Meccanica Dordrecht [u.a.] : Springer Science + Business Media B.V, 1966 51(2015), 8 vom: 14. Dez., Seite 1985-2017 (DE-627)311009638 (DE-600)2004031-3 1572-9648 nnns volume:51 year:2015 number:8 day:14 month:12 pages:1985-2017 https://dx.doi.org/10.1007/s11012-015-0345-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.11 ASE 50.30 ASE 50.31 ASE AR 51 2015 8 14 12 1985-2017 |
| allfieldsSound |
10.1007/s11012-015-0345-3 doi (DE-627)SPR015698688 (SPR)s11012-015-0345-3-e DE-627 ger DE-627 rakwb eng 600 ASE 33.11 bkl 50.30 bkl 50.31 bkl Wang, Qingshan verfasserin aut A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this investigation, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation. Under the current framework, regardless of boundary conditions, each of the displacement and rotation components of the plates is described as a standard Fourier cosine series supplemented with some auxiliary functions introduced to eliminate any possible discontinuities of the original displacements and their derivatives throughout the entire plate area including the boundaries and then to effectively enhance the convergence of the results. All the unknown expansion coefficients are treated as the generalized coordinates and determined by using the Raleigh–Ritz method. The current method can be universally applied to a variety of boundary conditions including all classical boundaries and their combinations and arbitrary elastic restraints. The excellent accuracy and reliability of current solutions is demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the current method can also predict the vibration characteristics of the plate with internal line supports and elastic foundation. Comprehensive studies on the effects of elastic restraint parameters, locations of line supports and foundation coefficients are also reported. New results for plates subjected to elastic boundary restraints, arbitrary internal line supports in both directions and resting on elastic foundations are presented, which may serve as benchmark solutions for future researches. Free vibration (dpeaa)DE-He213 Moderately thick orthotropic rectangular plate (dpeaa)DE-He213 General boundary conditions (dpeaa)DE-He213 Modified Fourier series (dpeaa)DE-He213 Internal line supports (dpeaa)DE-He213 Elastic foundations (dpeaa)DE-He213 Shi, Dongyan verfasserin aut Shi, Xianjie verfasserin aut Enthalten in Meccanica Dordrecht [u.a.] : Springer Science + Business Media B.V, 1966 51(2015), 8 vom: 14. Dez., Seite 1985-2017 (DE-627)311009638 (DE-600)2004031-3 1572-9648 nnns volume:51 year:2015 number:8 day:14 month:12 pages:1985-2017 https://dx.doi.org/10.1007/s11012-015-0345-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.11 ASE 50.30 ASE 50.31 ASE AR 51 2015 8 14 12 1985-2017 |
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English |
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Enthalten in Meccanica 51(2015), 8 vom: 14. Dez., Seite 1985-2017 volume:51 year:2015 number:8 day:14 month:12 pages:1985-2017 |
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Enthalten in Meccanica 51(2015), 8 vom: 14. Dez., Seite 1985-2017 volume:51 year:2015 number:8 day:14 month:12 pages:1985-2017 |
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Free vibration Moderately thick orthotropic rectangular plate General boundary conditions Modified Fourier series Internal line supports Elastic foundations |
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Wang, Qingshan @@aut@@ Shi, Dongyan @@aut@@ Shi, Xianjie @@aut@@ |
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Under the current framework, regardless of boundary conditions, each of the displacement and rotation components of the plates is described as a standard Fourier cosine series supplemented with some auxiliary functions introduced to eliminate any possible discontinuities of the original displacements and their derivatives throughout the entire plate area including the boundaries and then to effectively enhance the convergence of the results. All the unknown expansion coefficients are treated as the generalized coordinates and determined by using the Raleigh–Ritz method. The current method can be universally applied to a variety of boundary conditions including all classical boundaries and their combinations and arbitrary elastic restraints. The excellent accuracy and reliability of current solutions is demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the current method can also predict the vibration characteristics of the plate with internal line supports and elastic foundation. Comprehensive studies on the effects of elastic restraint parameters, locations of line supports and foundation coefficients are also reported. 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| author |
Wang, Qingshan |
| spellingShingle |
Wang, Qingshan ddc 600 bkl 33.11 bkl 50.30 bkl 50.31 misc Free vibration misc Moderately thick orthotropic rectangular plate misc General boundary conditions misc Modified Fourier series misc Internal line supports misc Elastic foundations A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation |
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600 ASE 33.11 bkl 50.30 bkl 50.31 bkl A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation Free vibration (dpeaa)DE-He213 Moderately thick orthotropic rectangular plate (dpeaa)DE-He213 General boundary conditions (dpeaa)DE-He213 Modified Fourier series (dpeaa)DE-He213 Internal line supports (dpeaa)DE-He213 Elastic foundations (dpeaa)DE-He213 |
| topic |
ddc 600 bkl 33.11 bkl 50.30 bkl 50.31 misc Free vibration misc Moderately thick orthotropic rectangular plate misc General boundary conditions misc Modified Fourier series misc Internal line supports misc Elastic foundations |
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ddc 600 bkl 33.11 bkl 50.30 bkl 50.31 misc Free vibration misc Moderately thick orthotropic rectangular plate misc General boundary conditions misc Modified Fourier series misc Internal line supports misc Elastic foundations |
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ddc 600 bkl 33.11 bkl 50.30 bkl 50.31 misc Free vibration misc Moderately thick orthotropic rectangular plate misc General boundary conditions misc Modified Fourier series misc Internal line supports misc Elastic foundations |
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A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation |
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A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation |
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Wang, Qingshan |
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Wang, Qingshan Shi, Dongyan Shi, Xianjie |
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modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation |
| title_auth |
A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation |
| abstract |
Abstract In this investigation, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation. Under the current framework, regardless of boundary conditions, each of the displacement and rotation components of the plates is described as a standard Fourier cosine series supplemented with some auxiliary functions introduced to eliminate any possible discontinuities of the original displacements and their derivatives throughout the entire plate area including the boundaries and then to effectively enhance the convergence of the results. All the unknown expansion coefficients are treated as the generalized coordinates and determined by using the Raleigh–Ritz method. The current method can be universally applied to a variety of boundary conditions including all classical boundaries and their combinations and arbitrary elastic restraints. The excellent accuracy and reliability of current solutions is demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the current method can also predict the vibration characteristics of the plate with internal line supports and elastic foundation. Comprehensive studies on the effects of elastic restraint parameters, locations of line supports and foundation coefficients are also reported. New results for plates subjected to elastic boundary restraints, arbitrary internal line supports in both directions and resting on elastic foundations are presented, which may serve as benchmark solutions for future researches. |
| abstractGer |
Abstract In this investigation, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation. Under the current framework, regardless of boundary conditions, each of the displacement and rotation components of the plates is described as a standard Fourier cosine series supplemented with some auxiliary functions introduced to eliminate any possible discontinuities of the original displacements and their derivatives throughout the entire plate area including the boundaries and then to effectively enhance the convergence of the results. All the unknown expansion coefficients are treated as the generalized coordinates and determined by using the Raleigh–Ritz method. The current method can be universally applied to a variety of boundary conditions including all classical boundaries and their combinations and arbitrary elastic restraints. The excellent accuracy and reliability of current solutions is demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the current method can also predict the vibration characteristics of the plate with internal line supports and elastic foundation. Comprehensive studies on the effects of elastic restraint parameters, locations of line supports and foundation coefficients are also reported. New results for plates subjected to elastic boundary restraints, arbitrary internal line supports in both directions and resting on elastic foundations are presented, which may serve as benchmark solutions for future researches. |
| abstract_unstemmed |
Abstract In this investigation, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation. Under the current framework, regardless of boundary conditions, each of the displacement and rotation components of the plates is described as a standard Fourier cosine series supplemented with some auxiliary functions introduced to eliminate any possible discontinuities of the original displacements and their derivatives throughout the entire plate area including the boundaries and then to effectively enhance the convergence of the results. All the unknown expansion coefficients are treated as the generalized coordinates and determined by using the Raleigh–Ritz method. The current method can be universally applied to a variety of boundary conditions including all classical boundaries and their combinations and arbitrary elastic restraints. The excellent accuracy and reliability of current solutions is demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the current method can also predict the vibration characteristics of the plate with internal line supports and elastic foundation. Comprehensive studies on the effects of elastic restraint parameters, locations of line supports and foundation coefficients are also reported. New results for plates subjected to elastic boundary restraints, arbitrary internal line supports in both directions and resting on elastic foundations are presented, which may serve as benchmark solutions for future researches. |
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| title_short |
A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation |
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https://dx.doi.org/10.1007/s11012-015-0345-3 |
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Shi, Dongyan Shi, Xianjie |
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Shi, Dongyan Shi, Xianjie |
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| doi_str |
10.1007/s11012-015-0345-3 |
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2024-07-03T18:02:06.998Z |
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| score |
7.400899 |