L-P perturbation solution of nonlinear free vibration of prestressed orthotropic membrane in large amplitude
type: Item
instance of: scholarly article
title: L-P perturbation solution of nonlinear free vibration of prestressed orthotropic membrane in large amplitude
zbMATH Open document ID: 1202.74075
DOI: 10.1155/2010/561364
author: Wei-Ju Song
author: Yun-Ping Xu
author: Jun Long
author: Chang-Jiang Liu
author: Zhou-Lian Zheng
author: Xiao-Ting He
author: Jun-Yi Sun
published in: Mathematical Problems in Engineering
publication date: 2010-12-23T00:00:00Z
full work available at URL: https://eudml.org/doc/223501
review text: Summary: This paper reviewed the research on the nonlinear free vibration of pre-stressed orthotropic membrane, which is commonly applied in building membrane structures. We applied the L-P perturbation method to solve the governing equations of large amplitude nonlinear free vibration of rectangular orthotropic membranes and obtained a simple approximate analytical solution of the frequency and displacement function of large amplitude nonlinear free vibration of rectangular membrane with four edges simply supported. By giving computational examples, we compared and analyzed the frequency results. In addition, vibration mode of the membrane and displacement and time curve of each feature point on the membrane surface were analyzed in the computational example. Results obtained from this paper provide a simple and convenient method to calculate the frequency and lateral displacement of nonlinear free vibration of rectangular orthotropic membranes in large amplitude. Meanwhile, the results provide some theoretical basis for solving the response of membrane structures under dynamic loads and provide some computational basis for the vibration control and dynamic design of building membrane structures.
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 5829235
MaRDI profile type: Publication
OpenAlex ID: W2168864182
Wikidata QID: Q58653152
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description: scientific article; zbMATH DE number 5829235