L-P Perturbation Solution of Nonlinear Free Vibration of Prestressed Orthotropic Membrane in Large Amplitude
Joint Authors
Zhou-lian, Zheng
Chang-jiang, Liu
Wei-ju, Song
Xiao-Ting, He
Jun, Long
Jun-Yi, Sun
Yun-ping, Xu
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-10-26
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Chang-jiang, Liu& Zhou-lian, Zheng& Xiao-Ting, He& Jun-Yi, Sun& Wei-ju, Song& Yun-ping, Xu…[et al.]. 2010. L-P Perturbation Solution of Nonlinear Free Vibration of Prestressed Orthotropic Membrane in Large Amplitude. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-480860
Modern Language Association (MLA)
Chang-jiang, Liu…[et al.]. L-P Perturbation Solution of Nonlinear Free Vibration of Prestressed Orthotropic Membrane in Large Amplitude. Mathematical Problems in Engineering No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-480860
American Medical Association (AMA)
Chang-jiang, Liu& Zhou-lian, Zheng& Xiao-Ting, He& Jun-Yi, Sun& Wei-ju, Song& Yun-ping, Xu…[et al.]. L-P Perturbation Solution of Nonlinear Free Vibration of Prestressed Orthotropic Membrane in Large Amplitude. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-480860
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480860