Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges

Abstract In the redundancy analysis of truss bridges, the calculation of the dynamic response caused by member damage requires accuracy. This paper presents a practical method of calculating the dynamic responses of truss bridge due to member damage considering its vibration characteristic, using ei...
Ausführliche Beschreibung

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Autor*in:	Tajima, Keiji [verfasserIn] Inoue, Ryuichi Hasuike, Rina Aso, Toshihiko

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Redundancy analysis Dynamic response Dynamic amplification factor Eigenvalue analysis

Anmerkung:	© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023

Übergeordnetes Werk:	Enthalten in: Archive of applied mechanics - Berlin : Springer, 1929, 93(2023), 3 vom: 02. Feb., Seite 881-890
Übergeordnetes Werk:	volume:93 ; year:2023 ; number:3 ; day:02 ; month:02 ; pages:881-890

Links:	Volltext

DOI / URN:	10.1007/s00419-023-02365-9

Katalog-ID:	SPR049357913

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520			\|a Abstract In the redundancy analysis of truss bridges, the calculation of the dynamic response caused by member damage requires accuracy. This paper presents a practical method of calculating the dynamic responses of truss bridge due to member damage considering its vibration characteristic, using eigenvectors instead of using dynamic amplification factor of one-degree-of-freedom system. A steel Pratt-truss bridge of long three-span with multiple influential vibration modes was the object of this research. The investigation of the dynamic response waveform due to member damage showed that there were multiple frequency peaks close to natural frequencies of the damaged truss bridge, and that the constant term of the Fourier transform was same as the result analyzed for the member damage using static analysis. Based on these results, a method for calculating the dynamic response by adding the cross-sectional force obtained by static analysis and by eigenvector was proposed. The range of vibration modes was set using the total modal participating mass ratio as an index, and the eigenvector that most affected the dynamic response of each member was selected for each member. Indeed, the dynamic response of cross-sectional force obtained by proposed method gave redundancy evaluation close to time-history-response analysis.
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650		4	\|a Eigenvalue analysis \|7 (dpeaa)DE-He213
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700	1		\|a Aso, Toshihiko \|4 aut
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allfields	10.1007/s00419-023-02365-9 doi (DE-627)SPR049357913 (SPR)s00419-023-02365-9-e DE-627 ger DE-627 rakwb eng Tajima, Keiji verfasserin (orcid)0000-0002-1354-0909 aut Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023 Abstract In the redundancy analysis of truss bridges, the calculation of the dynamic response caused by member damage requires accuracy. This paper presents a practical method of calculating the dynamic responses of truss bridge due to member damage considering its vibration characteristic, using eigenvectors instead of using dynamic amplification factor of one-degree-of-freedom system. A steel Pratt-truss bridge of long three-span with multiple influential vibration modes was the object of this research. The investigation of the dynamic response waveform due to member damage showed that there were multiple frequency peaks close to natural frequencies of the damaged truss bridge, and that the constant term of the Fourier transform was same as the result analyzed for the member damage using static analysis. Based on these results, a method for calculating the dynamic response by adding the cross-sectional force obtained by static analysis and by eigenvector was proposed. The range of vibration modes was set using the total modal participating mass ratio as an index, and the eigenvector that most affected the dynamic response of each member was selected for each member. Indeed, the dynamic response of cross-sectional force obtained by proposed method gave redundancy evaluation close to time-history-response analysis. Redundancy analysis (dpeaa)DE-He213 Dynamic response (dpeaa)DE-He213 Dynamic amplification factor (dpeaa)DE-He213 Eigenvalue analysis (dpeaa)DE-He213 Inoue, Ryuichi aut Hasuike, Rina aut Aso, Toshihiko aut Enthalten in Archive of applied mechanics Berlin : Springer, 1929 93(2023), 3 vom: 02. Feb., Seite 881-890 (DE-627)27012618X (DE-600)1476349-7 1432-0681 nnns volume:93 year:2023 number:3 day:02 month:02 pages:881-890 https://dx.doi.org/10.1007/s00419-023-02365-9 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_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_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_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 93 2023 3 02 02 881-890
spelling	10.1007/s00419-023-02365-9 doi (DE-627)SPR049357913 (SPR)s00419-023-02365-9-e DE-627 ger DE-627 rakwb eng Tajima, Keiji verfasserin (orcid)0000-0002-1354-0909 aut Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023 Abstract In the redundancy analysis of truss bridges, the calculation of the dynamic response caused by member damage requires accuracy. This paper presents a practical method of calculating the dynamic responses of truss bridge due to member damage considering its vibration characteristic, using eigenvectors instead of using dynamic amplification factor of one-degree-of-freedom system. A steel Pratt-truss bridge of long three-span with multiple influential vibration modes was the object of this research. The investigation of the dynamic response waveform due to member damage showed that there were multiple frequency peaks close to natural frequencies of the damaged truss bridge, and that the constant term of the Fourier transform was same as the result analyzed for the member damage using static analysis. Based on these results, a method for calculating the dynamic response by adding the cross-sectional force obtained by static analysis and by eigenvector was proposed. The range of vibration modes was set using the total modal participating mass ratio as an index, and the eigenvector that most affected the dynamic response of each member was selected for each member. Indeed, the dynamic response of cross-sectional force obtained by proposed method gave redundancy evaluation close to time-history-response analysis. Redundancy analysis (dpeaa)DE-He213 Dynamic response (dpeaa)DE-He213 Dynamic amplification factor (dpeaa)DE-He213 Eigenvalue analysis (dpeaa)DE-He213 Inoue, Ryuichi aut Hasuike, Rina aut Aso, Toshihiko aut Enthalten in Archive of applied mechanics Berlin : Springer, 1929 93(2023), 3 vom: 02. Feb., Seite 881-890 (DE-627)27012618X (DE-600)1476349-7 1432-0681 nnns volume:93 year:2023 number:3 day:02 month:02 pages:881-890 https://dx.doi.org/10.1007/s00419-023-02365-9 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_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_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_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 93 2023 3 02 02 881-890
allfields_unstemmed	10.1007/s00419-023-02365-9 doi (DE-627)SPR049357913 (SPR)s00419-023-02365-9-e DE-627 ger DE-627 rakwb eng Tajima, Keiji verfasserin (orcid)0000-0002-1354-0909 aut Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023 Abstract In the redundancy analysis of truss bridges, the calculation of the dynamic response caused by member damage requires accuracy. This paper presents a practical method of calculating the dynamic responses of truss bridge due to member damage considering its vibration characteristic, using eigenvectors instead of using dynamic amplification factor of one-degree-of-freedom system. A steel Pratt-truss bridge of long three-span with multiple influential vibration modes was the object of this research. The investigation of the dynamic response waveform due to member damage showed that there were multiple frequency peaks close to natural frequencies of the damaged truss bridge, and that the constant term of the Fourier transform was same as the result analyzed for the member damage using static analysis. Based on these results, a method for calculating the dynamic response by adding the cross-sectional force obtained by static analysis and by eigenvector was proposed. The range of vibration modes was set using the total modal participating mass ratio as an index, and the eigenvector that most affected the dynamic response of each member was selected for each member. Indeed, the dynamic response of cross-sectional force obtained by proposed method gave redundancy evaluation close to time-history-response analysis. Redundancy analysis (dpeaa)DE-He213 Dynamic response (dpeaa)DE-He213 Dynamic amplification factor (dpeaa)DE-He213 Eigenvalue analysis (dpeaa)DE-He213 Inoue, Ryuichi aut Hasuike, Rina aut Aso, Toshihiko aut Enthalten in Archive of applied mechanics Berlin : Springer, 1929 93(2023), 3 vom: 02. Feb., Seite 881-890 (DE-627)27012618X (DE-600)1476349-7 1432-0681 nnns volume:93 year:2023 number:3 day:02 month:02 pages:881-890 https://dx.doi.org/10.1007/s00419-023-02365-9 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_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_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_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 93 2023 3 02 02 881-890
allfieldsGer	10.1007/s00419-023-02365-9 doi (DE-627)SPR049357913 (SPR)s00419-023-02365-9-e DE-627 ger DE-627 rakwb eng Tajima, Keiji verfasserin (orcid)0000-0002-1354-0909 aut Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023 Abstract In the redundancy analysis of truss bridges, the calculation of the dynamic response caused by member damage requires accuracy. This paper presents a practical method of calculating the dynamic responses of truss bridge due to member damage considering its vibration characteristic, using eigenvectors instead of using dynamic amplification factor of one-degree-of-freedom system. A steel Pratt-truss bridge of long three-span with multiple influential vibration modes was the object of this research. The investigation of the dynamic response waveform due to member damage showed that there were multiple frequency peaks close to natural frequencies of the damaged truss bridge, and that the constant term of the Fourier transform was same as the result analyzed for the member damage using static analysis. Based on these results, a method for calculating the dynamic response by adding the cross-sectional force obtained by static analysis and by eigenvector was proposed. The range of vibration modes was set using the total modal participating mass ratio as an index, and the eigenvector that most affected the dynamic response of each member was selected for each member. Indeed, the dynamic response of cross-sectional force obtained by proposed method gave redundancy evaluation close to time-history-response analysis. Redundancy analysis (dpeaa)DE-He213 Dynamic response (dpeaa)DE-He213 Dynamic amplification factor (dpeaa)DE-He213 Eigenvalue analysis (dpeaa)DE-He213 Inoue, Ryuichi aut Hasuike, Rina aut Aso, Toshihiko aut Enthalten in Archive of applied mechanics Berlin : Springer, 1929 93(2023), 3 vom: 02. Feb., Seite 881-890 (DE-627)27012618X (DE-600)1476349-7 1432-0681 nnns volume:93 year:2023 number:3 day:02 month:02 pages:881-890 https://dx.doi.org/10.1007/s00419-023-02365-9 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_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_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_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 93 2023 3 02 02 881-890
allfieldsSound	10.1007/s00419-023-02365-9 doi (DE-627)SPR049357913 (SPR)s00419-023-02365-9-e DE-627 ger DE-627 rakwb eng Tajima, Keiji verfasserin (orcid)0000-0002-1354-0909 aut Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023 Abstract In the redundancy analysis of truss bridges, the calculation of the dynamic response caused by member damage requires accuracy. This paper presents a practical method of calculating the dynamic responses of truss bridge due to member damage considering its vibration characteristic, using eigenvectors instead of using dynamic amplification factor of one-degree-of-freedom system. A steel Pratt-truss bridge of long three-span with multiple influential vibration modes was the object of this research. The investigation of the dynamic response waveform due to member damage showed that there were multiple frequency peaks close to natural frequencies of the damaged truss bridge, and that the constant term of the Fourier transform was same as the result analyzed for the member damage using static analysis. Based on these results, a method for calculating the dynamic response by adding the cross-sectional force obtained by static analysis and by eigenvector was proposed. The range of vibration modes was set using the total modal participating mass ratio as an index, and the eigenvector that most affected the dynamic response of each member was selected for each member. Indeed, the dynamic response of cross-sectional force obtained by proposed method gave redundancy evaluation close to time-history-response analysis. Redundancy analysis (dpeaa)DE-He213 Dynamic response (dpeaa)DE-He213 Dynamic amplification factor (dpeaa)DE-He213 Eigenvalue analysis (dpeaa)DE-He213 Inoue, Ryuichi aut Hasuike, Rina aut Aso, Toshihiko aut Enthalten in Archive of applied mechanics Berlin : Springer, 1929 93(2023), 3 vom: 02. Feb., Seite 881-890 (DE-627)27012618X (DE-600)1476349-7 1432-0681 nnns volume:93 year:2023 number:3 day:02 month:02 pages:881-890 https://dx.doi.org/10.1007/s00419-023-02365-9 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_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_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_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 93 2023 3 02 02 881-890
language	English
source	Enthalten in Archive of applied mechanics 93(2023), 3 vom: 02. Feb., Seite 881-890 volume:93 year:2023 number:3 day:02 month:02 pages:881-890
sourceStr	Enthalten in Archive of applied mechanics 93(2023), 3 vom: 02. Feb., Seite 881-890 volume:93 year:2023 number:3 day:02 month:02 pages:881-890
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Redundancy analysis Dynamic response Dynamic amplification factor Eigenvalue analysis
isfreeaccess_bool	false
container_title	Archive of applied mechanics
authorswithroles_txt_mv	Tajima, Keiji @@aut@@ Inoue, Ryuichi @@aut@@ Hasuike, Rina @@aut@@ Aso, Toshihiko @@aut@@
publishDateDaySort_date	2023-02-02T00:00:00Z
hierarchy_top_id	27012618X
id	SPR049357913
language_de	englisch
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author	Tajima, Keiji
spellingShingle	Tajima, Keiji misc Redundancy analysis misc Dynamic response misc Dynamic amplification factor misc Eigenvalue analysis Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges
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topic_title	Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges Redundancy analysis (dpeaa)DE-He213 Dynamic response (dpeaa)DE-He213 Dynamic amplification factor (dpeaa)DE-He213 Eigenvalue analysis (dpeaa)DE-He213
topic	misc Redundancy analysis misc Dynamic response misc Dynamic amplification factor misc Eigenvalue analysis
topic_unstemmed	misc Redundancy analysis misc Dynamic response misc Dynamic amplification factor misc Eigenvalue analysis
topic_browse	misc Redundancy analysis misc Dynamic response misc Dynamic amplification factor misc Eigenvalue analysis
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges
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title_full	Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges
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author_browse	Tajima, Keiji Inoue, Ryuichi Hasuike, Rina Aso, Toshihiko
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author-letter	Tajima, Keiji
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title_sort	calculation of dynamic response using eigenvectors in redundancy analysis of truss bridges
title_auth	Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges
abstract	Abstract In the redundancy analysis of truss bridges, the calculation of the dynamic response caused by member damage requires accuracy. This paper presents a practical method of calculating the dynamic responses of truss bridge due to member damage considering its vibration characteristic, using eigenvectors instead of using dynamic amplification factor of one-degree-of-freedom system. A steel Pratt-truss bridge of long three-span with multiple influential vibration modes was the object of this research. The investigation of the dynamic response waveform due to member damage showed that there were multiple frequency peaks close to natural frequencies of the damaged truss bridge, and that the constant term of the Fourier transform was same as the result analyzed for the member damage using static analysis. Based on these results, a method for calculating the dynamic response by adding the cross-sectional force obtained by static analysis and by eigenvector was proposed. The range of vibration modes was set using the total modal participating mass ratio as an index, and the eigenvector that most affected the dynamic response of each member was selected for each member. Indeed, the dynamic response of cross-sectional force obtained by proposed method gave redundancy evaluation close to time-history-response analysis. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023
abstractGer	Abstract In the redundancy analysis of truss bridges, the calculation of the dynamic response caused by member damage requires accuracy. This paper presents a practical method of calculating the dynamic responses of truss bridge due to member damage considering its vibration characteristic, using eigenvectors instead of using dynamic amplification factor of one-degree-of-freedom system. A steel Pratt-truss bridge of long three-span with multiple influential vibration modes was the object of this research. The investigation of the dynamic response waveform due to member damage showed that there were multiple frequency peaks close to natural frequencies of the damaged truss bridge, and that the constant term of the Fourier transform was same as the result analyzed for the member damage using static analysis. Based on these results, a method for calculating the dynamic response by adding the cross-sectional force obtained by static analysis and by eigenvector was proposed. The range of vibration modes was set using the total modal participating mass ratio as an index, and the eigenvector that most affected the dynamic response of each member was selected for each member. Indeed, the dynamic response of cross-sectional force obtained by proposed method gave redundancy evaluation close to time-history-response analysis. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023
abstract_unstemmed	Abstract In the redundancy analysis of truss bridges, the calculation of the dynamic response caused by member damage requires accuracy. This paper presents a practical method of calculating the dynamic responses of truss bridge due to member damage considering its vibration characteristic, using eigenvectors instead of using dynamic amplification factor of one-degree-of-freedom system. A steel Pratt-truss bridge of long three-span with multiple influential vibration modes was the object of this research. The investigation of the dynamic response waveform due to member damage showed that there were multiple frequency peaks close to natural frequencies of the damaged truss bridge, and that the constant term of the Fourier transform was same as the result analyzed for the member damage using static analysis. Based on these results, a method for calculating the dynamic response by adding the cross-sectional force obtained by static analysis and by eigenvector was proposed. The range of vibration modes was set using the total modal participating mass ratio as an index, and the eigenvector that most affected the dynamic response of each member was selected for each member. Indeed, the dynamic response of cross-sectional force obtained by proposed method gave redundancy evaluation close to time-history-response analysis. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023
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container_issue	3
title_short	Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges
url	https://dx.doi.org/10.1007/s00419-023-02365-9
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author2	Inoue, Ryuichi Hasuike, Rina Aso, Toshihiko
author2Str	Inoue, Ryuichi Hasuike, Rina Aso, Toshihiko
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doi_str	10.1007/s00419-023-02365-9
up_date	2024-07-04T00:29:09.586Z
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Calculation of Dynamic Response Using Eigenvectors in Redundancy Analysis of Truss Bridges

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