On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method

Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, su...
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Autor*in:	Wu, Yuanfeng [verfasserIn] Chen, Enwei Dong, Guangxu He, Yuteng Lu, Yimin Wei, Haozheng

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Anmerkung:	© The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Acta mechanica - Wien : Springer, 1965, 234(2023), 10 vom: 09. Juli, Seite 4917-4937
Übergeordnetes Werk:	volume:234 ; year:2023 ; number:10 ; day:09 ; month:07 ; pages:4917-4937

Links:	Volltext

DOI / URN:	10.1007/s00707-023-03635-x

Katalog-ID:	SPR052953068

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245	1	0	\|a On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method
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520			\|a Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, such as damped boundary, spring-damped boundary, and mass-spring-damped boundary, are more relevant because they are in line with engineering practice. Boundary damping has a significant effect on system vibration, and the damping-damping boundary has rarely been studied. Thus, this paper is dedicated to the modeling, calculation and vibration passive control of a translating string with damping at both ends. First, the equations of motion and boundary conditions are deduced according to extended Hamilton’s principle, with the boundary damping forces as the controlling forces. Second, the analytical solutions of vibration response and system energy expressions are derived using the reflected traveling wave superposition method (RTWSM). Next, to stabilize the system under the boundary damping forces, the boundary damping ranges that satisfy the exponential decay of the system energy are obtained. To further solve for optimal damping in the above ranges, RTWSM model and the boundary energy reflection are employed. Finally, the vibration responses of translating strings with different boundary damping values are simulated. The result shows that boundary damping in feasible intervals facilitates vibration attenuation effectively.
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700	1		\|a Dong, Guangxu \|4 aut
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700	1		\|a Lu, Yimin \|4 aut
700	1		\|a Wei, Haozheng \|4 aut
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allfields	10.1007/s00707-023-03635-x doi (DE-627)SPR052953068 (SPR)s00707-023-03635-x-e DE-627 ger DE-627 rakwb eng Wu, Yuanfeng verfasserin aut On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, such as damped boundary, spring-damped boundary, and mass-spring-damped boundary, are more relevant because they are in line with engineering practice. Boundary damping has a significant effect on system vibration, and the damping-damping boundary has rarely been studied. Thus, this paper is dedicated to the modeling, calculation and vibration passive control of a translating string with damping at both ends. First, the equations of motion and boundary conditions are deduced according to extended Hamilton’s principle, with the boundary damping forces as the controlling forces. Second, the analytical solutions of vibration response and system energy expressions are derived using the reflected traveling wave superposition method (RTWSM). Next, to stabilize the system under the boundary damping forces, the boundary damping ranges that satisfy the exponential decay of the system energy are obtained. To further solve for optimal damping in the above ranges, RTWSM model and the boundary energy reflection are employed. Finally, the vibration responses of translating strings with different boundary damping values are simulated. The result shows that boundary damping in feasible intervals facilitates vibration attenuation effectively. Chen, Enwei aut Dong, Guangxu aut He, Yuteng aut Lu, Yimin aut Wei, Haozheng aut Enthalten in Acta mechanica Wien : Springer, 1965 234(2023), 10 vom: 09. Juli, Seite 4917-4937 (DE-627)270126139 (DE-600)1476343-6 1619-6937 nnns volume:234 year:2023 number:10 day:09 month:07 pages:4917-4937 https://dx.doi.org/10.1007/s00707-023-03635-x 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_101 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 234 2023 10 09 07 4917-4937
spelling	10.1007/s00707-023-03635-x doi (DE-627)SPR052953068 (SPR)s00707-023-03635-x-e DE-627 ger DE-627 rakwb eng Wu, Yuanfeng verfasserin aut On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, such as damped boundary, spring-damped boundary, and mass-spring-damped boundary, are more relevant because they are in line with engineering practice. Boundary damping has a significant effect on system vibration, and the damping-damping boundary has rarely been studied. Thus, this paper is dedicated to the modeling, calculation and vibration passive control of a translating string with damping at both ends. First, the equations of motion and boundary conditions are deduced according to extended Hamilton’s principle, with the boundary damping forces as the controlling forces. Second, the analytical solutions of vibration response and system energy expressions are derived using the reflected traveling wave superposition method (RTWSM). Next, to stabilize the system under the boundary damping forces, the boundary damping ranges that satisfy the exponential decay of the system energy are obtained. To further solve for optimal damping in the above ranges, RTWSM model and the boundary energy reflection are employed. Finally, the vibration responses of translating strings with different boundary damping values are simulated. The result shows that boundary damping in feasible intervals facilitates vibration attenuation effectively. Chen, Enwei aut Dong, Guangxu aut He, Yuteng aut Lu, Yimin aut Wei, Haozheng aut Enthalten in Acta mechanica Wien : Springer, 1965 234(2023), 10 vom: 09. Juli, Seite 4917-4937 (DE-627)270126139 (DE-600)1476343-6 1619-6937 nnns volume:234 year:2023 number:10 day:09 month:07 pages:4917-4937 https://dx.doi.org/10.1007/s00707-023-03635-x 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_101 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 234 2023 10 09 07 4917-4937
allfields_unstemmed	10.1007/s00707-023-03635-x doi (DE-627)SPR052953068 (SPR)s00707-023-03635-x-e DE-627 ger DE-627 rakwb eng Wu, Yuanfeng verfasserin aut On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, such as damped boundary, spring-damped boundary, and mass-spring-damped boundary, are more relevant because they are in line with engineering practice. Boundary damping has a significant effect on system vibration, and the damping-damping boundary has rarely been studied. Thus, this paper is dedicated to the modeling, calculation and vibration passive control of a translating string with damping at both ends. First, the equations of motion and boundary conditions are deduced according to extended Hamilton’s principle, with the boundary damping forces as the controlling forces. Second, the analytical solutions of vibration response and system energy expressions are derived using the reflected traveling wave superposition method (RTWSM). Next, to stabilize the system under the boundary damping forces, the boundary damping ranges that satisfy the exponential decay of the system energy are obtained. To further solve for optimal damping in the above ranges, RTWSM model and the boundary energy reflection are employed. Finally, the vibration responses of translating strings with different boundary damping values are simulated. The result shows that boundary damping in feasible intervals facilitates vibration attenuation effectively. Chen, Enwei aut Dong, Guangxu aut He, Yuteng aut Lu, Yimin aut Wei, Haozheng aut Enthalten in Acta mechanica Wien : Springer, 1965 234(2023), 10 vom: 09. Juli, Seite 4917-4937 (DE-627)270126139 (DE-600)1476343-6 1619-6937 nnns volume:234 year:2023 number:10 day:09 month:07 pages:4917-4937 https://dx.doi.org/10.1007/s00707-023-03635-x 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_101 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 234 2023 10 09 07 4917-4937
allfieldsGer	10.1007/s00707-023-03635-x doi (DE-627)SPR052953068 (SPR)s00707-023-03635-x-e DE-627 ger DE-627 rakwb eng Wu, Yuanfeng verfasserin aut On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, such as damped boundary, spring-damped boundary, and mass-spring-damped boundary, are more relevant because they are in line with engineering practice. Boundary damping has a significant effect on system vibration, and the damping-damping boundary has rarely been studied. Thus, this paper is dedicated to the modeling, calculation and vibration passive control of a translating string with damping at both ends. First, the equations of motion and boundary conditions are deduced according to extended Hamilton’s principle, with the boundary damping forces as the controlling forces. Second, the analytical solutions of vibration response and system energy expressions are derived using the reflected traveling wave superposition method (RTWSM). Next, to stabilize the system under the boundary damping forces, the boundary damping ranges that satisfy the exponential decay of the system energy are obtained. To further solve for optimal damping in the above ranges, RTWSM model and the boundary energy reflection are employed. Finally, the vibration responses of translating strings with different boundary damping values are simulated. The result shows that boundary damping in feasible intervals facilitates vibration attenuation effectively. Chen, Enwei aut Dong, Guangxu aut He, Yuteng aut Lu, Yimin aut Wei, Haozheng aut Enthalten in Acta mechanica Wien : Springer, 1965 234(2023), 10 vom: 09. Juli, Seite 4917-4937 (DE-627)270126139 (DE-600)1476343-6 1619-6937 nnns volume:234 year:2023 number:10 day:09 month:07 pages:4917-4937 https://dx.doi.org/10.1007/s00707-023-03635-x 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_101 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 234 2023 10 09 07 4917-4937
allfieldsSound	10.1007/s00707-023-03635-x doi (DE-627)SPR052953068 (SPR)s00707-023-03635-x-e DE-627 ger DE-627 rakwb eng Wu, Yuanfeng verfasserin aut On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, such as damped boundary, spring-damped boundary, and mass-spring-damped boundary, are more relevant because they are in line with engineering practice. Boundary damping has a significant effect on system vibration, and the damping-damping boundary has rarely been studied. Thus, this paper is dedicated to the modeling, calculation and vibration passive control of a translating string with damping at both ends. First, the equations of motion and boundary conditions are deduced according to extended Hamilton’s principle, with the boundary damping forces as the controlling forces. Second, the analytical solutions of vibration response and system energy expressions are derived using the reflected traveling wave superposition method (RTWSM). Next, to stabilize the system under the boundary damping forces, the boundary damping ranges that satisfy the exponential decay of the system energy are obtained. To further solve for optimal damping in the above ranges, RTWSM model and the boundary energy reflection are employed. Finally, the vibration responses of translating strings with different boundary damping values are simulated. The result shows that boundary damping in feasible intervals facilitates vibration attenuation effectively. Chen, Enwei aut Dong, Guangxu aut He, Yuteng aut Lu, Yimin aut Wei, Haozheng aut Enthalten in Acta mechanica Wien : Springer, 1965 234(2023), 10 vom: 09. Juli, Seite 4917-4937 (DE-627)270126139 (DE-600)1476343-6 1619-6937 nnns volume:234 year:2023 number:10 day:09 month:07 pages:4917-4937 https://dx.doi.org/10.1007/s00707-023-03635-x 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_101 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 234 2023 10 09 07 4917-4937
language	English
source	Enthalten in Acta mechanica 234(2023), 10 vom: 09. Juli, Seite 4917-4937 volume:234 year:2023 number:10 day:09 month:07 pages:4917-4937
sourceStr	Enthalten in Acta mechanica 234(2023), 10 vom: 09. Juli, Seite 4917-4937 volume:234 year:2023 number:10 day:09 month:07 pages:4917-4937
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container_title	Acta mechanica
authorswithroles_txt_mv	Wu, Yuanfeng @@aut@@ Chen, Enwei @@aut@@ Dong, Guangxu @@aut@@ He, Yuteng @@aut@@ Lu, Yimin @@aut@@ Wei, Haozheng @@aut@@
publishDateDaySort_date	2023-07-09T00:00:00Z
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author	Wu, Yuanfeng
spellingShingle	Wu, Yuanfeng On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method
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topic_title	On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method
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title	On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method
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title_full	On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method
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author_browse	Wu, Yuanfeng Chen, Enwei Dong, Guangxu He, Yuteng Lu, Yimin Wei, Haozheng
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title_sort	on vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method
title_auth	On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method
abstract	Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, such as damped boundary, spring-damped boundary, and mass-spring-damped boundary, are more relevant because they are in line with engineering practice. Boundary damping has a significant effect on system vibration, and the damping-damping boundary has rarely been studied. Thus, this paper is dedicated to the modeling, calculation and vibration passive control of a translating string with damping at both ends. First, the equations of motion and boundary conditions are deduced according to extended Hamilton’s principle, with the boundary damping forces as the controlling forces. Second, the analytical solutions of vibration response and system energy expressions are derived using the reflected traveling wave superposition method (RTWSM). Next, to stabilize the system under the boundary damping forces, the boundary damping ranges that satisfy the exponential decay of the system energy are obtained. To further solve for optimal damping in the above ranges, RTWSM model and the boundary energy reflection are employed. Finally, the vibration responses of translating strings with different boundary damping values are simulated. The result shows that boundary damping in feasible intervals facilitates vibration attenuation effectively. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, such as damped boundary, spring-damped boundary, and mass-spring-damped boundary, are more relevant because they are in line with engineering practice. Boundary damping has a significant effect on system vibration, and the damping-damping boundary has rarely been studied. Thus, this paper is dedicated to the modeling, calculation and vibration passive control of a translating string with damping at both ends. First, the equations of motion and boundary conditions are deduced according to extended Hamilton’s principle, with the boundary damping forces as the controlling forces. Second, the analytical solutions of vibration response and system energy expressions are derived using the reflected traveling wave superposition method (RTWSM). Next, to stabilize the system under the boundary damping forces, the boundary damping ranges that satisfy the exponential decay of the system energy are obtained. To further solve for optimal damping in the above ranges, RTWSM model and the boundary energy reflection are employed. Finally, the vibration responses of translating strings with different boundary damping values are simulated. The result shows that boundary damping in feasible intervals facilitates vibration attenuation effectively. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, such as damped boundary, spring-damped boundary, and mass-spring-damped boundary, are more relevant because they are in line with engineering practice. Boundary damping has a significant effect on system vibration, and the damping-damping boundary has rarely been studied. Thus, this paper is dedicated to the modeling, calculation and vibration passive control of a translating string with damping at both ends. First, the equations of motion and boundary conditions are deduced according to extended Hamilton’s principle, with the boundary damping forces as the controlling forces. Second, the analytical solutions of vibration response and system energy expressions are derived using the reflected traveling wave superposition method (RTWSM). Next, to stabilize the system under the boundary damping forces, the boundary damping ranges that satisfy the exponential decay of the system energy are obtained. To further solve for optimal damping in the above ranges, RTWSM model and the boundary energy reflection are employed. Finally, the vibration responses of translating strings with different boundary damping values are simulated. The result shows that boundary damping in feasible intervals facilitates vibration attenuation effectively. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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title_short	On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method
url	https://dx.doi.org/10.1007/s00707-023-03635-x
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author2	Chen, Enwei Dong, Guangxu He, Yuteng Lu, Yimin Wei, Haozheng
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up_date	2024-07-03T15:59:17.722Z
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The axially translating string has received wide attention due to its adverse effect of transverse vibration on security and stability in engineering. Most of the current literature focuses on classical boundary cases (e.g., fixed boundary, free boundary), while non-classical boundaries, such as damped boundary, spring-damped boundary, and mass-spring-damped boundary, are more relevant because they are in line with engineering practice. Boundary damping has a significant effect on system vibration, and the damping-damping boundary has rarely been studied. Thus, this paper is dedicated to the modeling, calculation and vibration passive control of a translating string with damping at both ends. First, the equations of motion and boundary conditions are deduced according to extended Hamilton’s principle, with the boundary damping forces as the controlling forces. Second, the analytical solutions of vibration response and system energy expressions are derived using the reflected traveling wave superposition method (RTWSM). Next, to stabilize the system under the boundary damping forces, the boundary damping ranges that satisfy the exponential decay of the system energy are obtained. To further solve for optimal damping in the above ranges, RTWSM model and the boundary energy reflection are employed. Finally, the vibration responses of translating strings with different boundary damping values are simulated. The result shows that boundary damping in feasible intervals facilitates vibration attenuation effectively.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Chen, Enwei</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dong, Guangxu</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">He, Yuteng</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lu, Yimin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wei, Haozheng</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Acta mechanica</subfield><subfield code="d">Wien : Springer, 1965</subfield><subfield code="g">234(2023), 10 vom: 09. 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On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method

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