An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets
Abstract This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formula...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mahdavi, Seyed Hossein [verfasserIn] Razak, Hashim Abdul [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: The Arabian journal for science and engineering - Berlin : Springer, 2011, 41(2015), 4 vom: 09. Dez., Seite 1451-1460 |
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| Übergeordnetes Werk: |
volume:41 ; year:2015 ; number:4 ; day:09 ; month:12 ; pages:1451-1460 |
| Links: |
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| DOI / URN: |
10.1007/s13369-015-1993-2 |
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| Katalog-ID: |
SPR031892825 |
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| 520 | |a Abstract This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formulation is derived from decomposition of the only transitional responses of structures. The free-scaled operational matrices of Legendre wavelets accurately transfer the second-ordered differential equations of motion into the corresponding algebraic equations. Accordingly, a simple procedure is developed to compute dynamic responses of large-scaled spatial trusses. The applicability and effectiveness of the proposed procedure using Legendre wavelets are demonstrated with two numerical applications. Subsequently, results were compared with those from common time integration schemes such as Wilson-θ, Newmark-β, central difference and Duhamel integration methods. It is deduced that because of the inherent shape functions of Legendre wavelets the dynamic analysis is optimally achieved with the highest accuracy, best computational competency and with the lowest storage capacity. | ||
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| 650 | 4 | |a Legendre wavelet |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Optimum dynamic analysis |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Razak, Hashim Abdul |e verfasserin |4 aut | |
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10.1007/s13369-015-1993-2 doi (DE-627)SPR031892825 (SPR)s13369-015-1993-2-e DE-627 ger DE-627 rakwb eng 600 500 ASE 31.00 bkl Mahdavi, Seyed Hossein verfasserin aut An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formulation is derived from decomposition of the only transitional responses of structures. The free-scaled operational matrices of Legendre wavelets accurately transfer the second-ordered differential equations of motion into the corresponding algebraic equations. Accordingly, a simple procedure is developed to compute dynamic responses of large-scaled spatial trusses. The applicability and effectiveness of the proposed procedure using Legendre wavelets are demonstrated with two numerical applications. Subsequently, results were compared with those from common time integration schemes such as Wilson-θ, Newmark-β, central difference and Duhamel integration methods. It is deduced that because of the inherent shape functions of Legendre wavelets the dynamic analysis is optimally achieved with the highest accuracy, best computational competency and with the lowest storage capacity. Spatial trusses (dpeaa)DE-He213 Numerical time integration (dpeaa)DE-He213 Free-scaled wavelets (dpeaa)DE-He213 Legendre wavelet (dpeaa)DE-He213 Optimum dynamic analysis (dpeaa)DE-He213 Razak, Hashim Abdul verfasserin aut Enthalten in The Arabian journal for science and engineering Berlin : Springer, 2011 41(2015), 4 vom: 09. Dez., Seite 1451-1460 (DE-627)588780731 (DE-600)2471504-9 2191-4281 nnns volume:41 year:2015 number:4 day:09 month:12 pages:1451-1460 https://dx.doi.org/10.1007/s13369-015-1993-2 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_65 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_2008 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_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 31.00 ASE AR 41 2015 4 09 12 1451-1460 |
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10.1007/s13369-015-1993-2 doi (DE-627)SPR031892825 (SPR)s13369-015-1993-2-e DE-627 ger DE-627 rakwb eng 600 500 ASE 31.00 bkl Mahdavi, Seyed Hossein verfasserin aut An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formulation is derived from decomposition of the only transitional responses of structures. The free-scaled operational matrices of Legendre wavelets accurately transfer the second-ordered differential equations of motion into the corresponding algebraic equations. Accordingly, a simple procedure is developed to compute dynamic responses of large-scaled spatial trusses. The applicability and effectiveness of the proposed procedure using Legendre wavelets are demonstrated with two numerical applications. Subsequently, results were compared with those from common time integration schemes such as Wilson-θ, Newmark-β, central difference and Duhamel integration methods. It is deduced that because of the inherent shape functions of Legendre wavelets the dynamic analysis is optimally achieved with the highest accuracy, best computational competency and with the lowest storage capacity. Spatial trusses (dpeaa)DE-He213 Numerical time integration (dpeaa)DE-He213 Free-scaled wavelets (dpeaa)DE-He213 Legendre wavelet (dpeaa)DE-He213 Optimum dynamic analysis (dpeaa)DE-He213 Razak, Hashim Abdul verfasserin aut Enthalten in The Arabian journal for science and engineering Berlin : Springer, 2011 41(2015), 4 vom: 09. Dez., Seite 1451-1460 (DE-627)588780731 (DE-600)2471504-9 2191-4281 nnns volume:41 year:2015 number:4 day:09 month:12 pages:1451-1460 https://dx.doi.org/10.1007/s13369-015-1993-2 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_65 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_2008 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_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 31.00 ASE AR 41 2015 4 09 12 1451-1460 |
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10.1007/s13369-015-1993-2 doi (DE-627)SPR031892825 (SPR)s13369-015-1993-2-e DE-627 ger DE-627 rakwb eng 600 500 ASE 31.00 bkl Mahdavi, Seyed Hossein verfasserin aut An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formulation is derived from decomposition of the only transitional responses of structures. The free-scaled operational matrices of Legendre wavelets accurately transfer the second-ordered differential equations of motion into the corresponding algebraic equations. Accordingly, a simple procedure is developed to compute dynamic responses of large-scaled spatial trusses. The applicability and effectiveness of the proposed procedure using Legendre wavelets are demonstrated with two numerical applications. Subsequently, results were compared with those from common time integration schemes such as Wilson-θ, Newmark-β, central difference and Duhamel integration methods. It is deduced that because of the inherent shape functions of Legendre wavelets the dynamic analysis is optimally achieved with the highest accuracy, best computational competency and with the lowest storage capacity. Spatial trusses (dpeaa)DE-He213 Numerical time integration (dpeaa)DE-He213 Free-scaled wavelets (dpeaa)DE-He213 Legendre wavelet (dpeaa)DE-He213 Optimum dynamic analysis (dpeaa)DE-He213 Razak, Hashim Abdul verfasserin aut Enthalten in The Arabian journal for science and engineering Berlin : Springer, 2011 41(2015), 4 vom: 09. Dez., Seite 1451-1460 (DE-627)588780731 (DE-600)2471504-9 2191-4281 nnns volume:41 year:2015 number:4 day:09 month:12 pages:1451-1460 https://dx.doi.org/10.1007/s13369-015-1993-2 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_65 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_2008 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_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 31.00 ASE AR 41 2015 4 09 12 1451-1460 |
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10.1007/s13369-015-1993-2 doi (DE-627)SPR031892825 (SPR)s13369-015-1993-2-e DE-627 ger DE-627 rakwb eng 600 500 ASE 31.00 bkl Mahdavi, Seyed Hossein verfasserin aut An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formulation is derived from decomposition of the only transitional responses of structures. The free-scaled operational matrices of Legendre wavelets accurately transfer the second-ordered differential equations of motion into the corresponding algebraic equations. Accordingly, a simple procedure is developed to compute dynamic responses of large-scaled spatial trusses. The applicability and effectiveness of the proposed procedure using Legendre wavelets are demonstrated with two numerical applications. Subsequently, results were compared with those from common time integration schemes such as Wilson-θ, Newmark-β, central difference and Duhamel integration methods. It is deduced that because of the inherent shape functions of Legendre wavelets the dynamic analysis is optimally achieved with the highest accuracy, best computational competency and with the lowest storage capacity. Spatial trusses (dpeaa)DE-He213 Numerical time integration (dpeaa)DE-He213 Free-scaled wavelets (dpeaa)DE-He213 Legendre wavelet (dpeaa)DE-He213 Optimum dynamic analysis (dpeaa)DE-He213 Razak, Hashim Abdul verfasserin aut Enthalten in The Arabian journal for science and engineering Berlin : Springer, 2011 41(2015), 4 vom: 09. Dez., Seite 1451-1460 (DE-627)588780731 (DE-600)2471504-9 2191-4281 nnns volume:41 year:2015 number:4 day:09 month:12 pages:1451-1460 https://dx.doi.org/10.1007/s13369-015-1993-2 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_65 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_2008 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_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 31.00 ASE AR 41 2015 4 09 12 1451-1460 |
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10.1007/s13369-015-1993-2 doi (DE-627)SPR031892825 (SPR)s13369-015-1993-2-e DE-627 ger DE-627 rakwb eng 600 500 ASE 31.00 bkl Mahdavi, Seyed Hossein verfasserin aut An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formulation is derived from decomposition of the only transitional responses of structures. The free-scaled operational matrices of Legendre wavelets accurately transfer the second-ordered differential equations of motion into the corresponding algebraic equations. Accordingly, a simple procedure is developed to compute dynamic responses of large-scaled spatial trusses. The applicability and effectiveness of the proposed procedure using Legendre wavelets are demonstrated with two numerical applications. Subsequently, results were compared with those from common time integration schemes such as Wilson-θ, Newmark-β, central difference and Duhamel integration methods. It is deduced that because of the inherent shape functions of Legendre wavelets the dynamic analysis is optimally achieved with the highest accuracy, best computational competency and with the lowest storage capacity. Spatial trusses (dpeaa)DE-He213 Numerical time integration (dpeaa)DE-He213 Free-scaled wavelets (dpeaa)DE-He213 Legendre wavelet (dpeaa)DE-He213 Optimum dynamic analysis (dpeaa)DE-He213 Razak, Hashim Abdul verfasserin aut Enthalten in The Arabian journal for science and engineering Berlin : Springer, 2011 41(2015), 4 vom: 09. Dez., Seite 1451-1460 (DE-627)588780731 (DE-600)2471504-9 2191-4281 nnns volume:41 year:2015 number:4 day:09 month:12 pages:1451-1460 https://dx.doi.org/10.1007/s13369-015-1993-2 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_65 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_2008 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_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 31.00 ASE AR 41 2015 4 09 12 1451-1460 |
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Enthalten in The Arabian journal for science and engineering 41(2015), 4 vom: 09. Dez., Seite 1451-1460 volume:41 year:2015 number:4 day:09 month:12 pages:1451-1460 |
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Spatial trusses Numerical time integration Free-scaled wavelets Legendre wavelet Optimum dynamic analysis |
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Mahdavi, Seyed Hossein @@aut@@ Razak, Hashim Abdul @@aut@@ |
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Mahdavi, Seyed Hossein |
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Mahdavi, Seyed Hossein ddc 600 bkl 31.00 misc Spatial trusses misc Numerical time integration misc Free-scaled wavelets misc Legendre wavelet misc Optimum dynamic analysis An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets |
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600 500 ASE 31.00 bkl An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets Spatial trusses (dpeaa)DE-He213 Numerical time integration (dpeaa)DE-He213 Free-scaled wavelets (dpeaa)DE-He213 Legendre wavelet (dpeaa)DE-He213 Optimum dynamic analysis (dpeaa)DE-He213 |
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ddc 600 bkl 31.00 misc Spatial trusses misc Numerical time integration misc Free-scaled wavelets misc Legendre wavelet misc Optimum dynamic analysis |
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An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets |
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An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets |
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efficient method for dynamic analysis of spatial trusses using legendre wavelets |
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An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets |
| abstract |
Abstract This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formulation is derived from decomposition of the only transitional responses of structures. The free-scaled operational matrices of Legendre wavelets accurately transfer the second-ordered differential equations of motion into the corresponding algebraic equations. Accordingly, a simple procedure is developed to compute dynamic responses of large-scaled spatial trusses. The applicability and effectiveness of the proposed procedure using Legendre wavelets are demonstrated with two numerical applications. Subsequently, results were compared with those from common time integration schemes such as Wilson-θ, Newmark-β, central difference and Duhamel integration methods. It is deduced that because of the inherent shape functions of Legendre wavelets the dynamic analysis is optimally achieved with the highest accuracy, best computational competency and with the lowest storage capacity. |
| abstractGer |
Abstract This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formulation is derived from decomposition of the only transitional responses of structures. The free-scaled operational matrices of Legendre wavelets accurately transfer the second-ordered differential equations of motion into the corresponding algebraic equations. Accordingly, a simple procedure is developed to compute dynamic responses of large-scaled spatial trusses. The applicability and effectiveness of the proposed procedure using Legendre wavelets are demonstrated with two numerical applications. Subsequently, results were compared with those from common time integration schemes such as Wilson-θ, Newmark-β, central difference and Duhamel integration methods. It is deduced that because of the inherent shape functions of Legendre wavelets the dynamic analysis is optimally achieved with the highest accuracy, best computational competency and with the lowest storage capacity. |
| abstract_unstemmed |
Abstract This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formulation is derived from decomposition of the only transitional responses of structures. The free-scaled operational matrices of Legendre wavelets accurately transfer the second-ordered differential equations of motion into the corresponding algebraic equations. Accordingly, a simple procedure is developed to compute dynamic responses of large-scaled spatial trusses. The applicability and effectiveness of the proposed procedure using Legendre wavelets are demonstrated with two numerical applications. Subsequently, results were compared with those from common time integration schemes such as Wilson-θ, Newmark-β, central difference and Duhamel integration methods. It is deduced that because of the inherent shape functions of Legendre wavelets the dynamic analysis is optimally achieved with the highest accuracy, best computational competency and with the lowest storage capacity. |
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An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets |
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Razak, Hashim Abdul |
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10.1007/s13369-015-1993-2 |
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