Dynamic Response of Orthotropic Membrane Structure under Impact Load based on Multiple Scale Perturbation Method
Abstract This paper investigates the dynamic response of rectangular prestressed membrane subjected to concentrated impact load based on multiple scale perturbation method. The governing equations of motion of nonlinear vibration are derived based on the Föppl large deflection theory and Galerkin me...
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Marcílio Alves
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Series: | Latin American Journal of Solids and Structures |
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doaj-64ffb50ef8a947559f6dee52c8c6e9cc2020-11-24T20:58:22ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-78251481490150510.1590/1679-78253835S1679-78252017000801490Dynamic Response of Orthotropic Membrane Structure under Impact Load based on Multiple Scale Perturbation MethodZ. L. ZhengC. Y. LiuD. LiT. ZhangAbstract This paper investigates the dynamic response of rectangular prestressed membrane subjected to concentrated impact load based on multiple scale perturbation method. The governing equations of motion of nonlinear vibration are derived based on the Föppl large deflection theory and Galerkin method. By introducing different time scales to consider the process of vibration, the results of dynamic response are obtained by applying the multiple scale perturbation method. Furthermore, the effects of pretension force, velocity of load and dimension of membrane on the dynamic response of membrane are discussed. The present work studies the problem of the dynamic response of prestressed membrane subjected to concentrated impact load in different time scales, and provides a more accurate theoretical model for design of membrane structure.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000801490&lng=en&tlng=enMembrane structuredynamic responsenonlinear vibrationmultiple scale perturbation method |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Z. L. Zheng C. Y. Liu D. Li T. Zhang |
spellingShingle |
Z. L. Zheng C. Y. Liu D. Li T. Zhang Dynamic Response of Orthotropic Membrane Structure under Impact Load based on Multiple Scale Perturbation Method Latin American Journal of Solids and Structures Membrane structure dynamic response nonlinear vibration multiple scale perturbation method |
author_facet |
Z. L. Zheng C. Y. Liu D. Li T. Zhang |
author_sort |
Z. L. Zheng |
title |
Dynamic Response of Orthotropic Membrane Structure under Impact Load based on Multiple Scale Perturbation Method |
title_short |
Dynamic Response of Orthotropic Membrane Structure under Impact Load based on Multiple Scale Perturbation Method |
title_full |
Dynamic Response of Orthotropic Membrane Structure under Impact Load based on Multiple Scale Perturbation Method |
title_fullStr |
Dynamic Response of Orthotropic Membrane Structure under Impact Load based on Multiple Scale Perturbation Method |
title_full_unstemmed |
Dynamic Response of Orthotropic Membrane Structure under Impact Load based on Multiple Scale Perturbation Method |
title_sort |
dynamic response of orthotropic membrane structure under impact load based on multiple scale perturbation method |
publisher |
Marcílio Alves |
series |
Latin American Journal of Solids and Structures |
issn |
1679-7825 |
description |
Abstract This paper investigates the dynamic response of rectangular prestressed membrane subjected to concentrated impact load based on multiple scale perturbation method. The governing equations of motion of nonlinear vibration are derived based on the Föppl large deflection theory and Galerkin method. By introducing different time scales to consider the process of vibration, the results of dynamic response are obtained by applying the multiple scale perturbation method. Furthermore, the effects of pretension force, velocity of load and dimension of membrane on the dynamic response of membrane are discussed. The present work studies the problem of the dynamic response of prestressed membrane subjected to concentrated impact load in different time scales, and provides a more accurate theoretical model for design of membrane structure. |
topic |
Membrane structure dynamic response nonlinear vibration multiple scale perturbation method |
url |
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000801490&lng=en&tlng=en |
work_keys_str_mv |
AT zlzheng dynamicresponseoforthotropicmembranestructureunderimpactloadbasedonmultiplescaleperturbationmethod AT cyliu dynamicresponseoforthotropicmembranestructureunderimpactloadbasedonmultiplescaleperturbationmethod AT dli dynamicresponseoforthotropicmembranestructureunderimpactloadbasedonmultiplescaleperturbationmethod AT tzhang dynamicresponseoforthotropicmembranestructureunderimpactloadbasedonmultiplescaleperturbationmethod |
_version_ |
1716786069469396992 |