Welcome to Open Science
Contact Us
Home Books Journals Submission Open Science Join Us News
Research on Nonlinear Vibration Characteristics of Saddle- Shaped Orthotropic Membrane
Current Issue
Volume 5, 2017
Issue 1 (February)
Pages: 1-7   |   Vol. 5, No. 1, February 2017   |   Follow on         
Paper in PDF Downloads: 28   Since Jun. 15, 2017 Views: 1163   Since Jun. 15, 2017
Authors
[1]
Song Weiju, City College of Science and Technology, Chongqing University, Chongqing, P. R. China.
[2]
Wang Xinxin, City College of Science and Technology, Chongqing University, Chongqing, P. R. China.
[3]
Wang Xiaowei, City College of Science and Technology, Chongqing University, Chongqing, P. R. China.
Abstract
This paper, the nonlinear free vibration of saddle shaped Orthotropic Membrane is investigated. The Krylov-Bogolubov-Mitropolsky (KBM) perturbation method is employed for solving the governing equations of large amplitude nonlinear vibration of the membranes Presented herein are asymptotic analytical solutions for the frequency function of large amplitude nonlinear damped vibration of rectangular orthotropic membranes with four edges fixed. Through the computational example, The influence regularity of vibratory parameters such as structural parameters, initial displacement and vibration modes was studied. Which shows that the orthotropy and geometrical nonlinearity is significant for preventing destructive in membrane structures. In addition, the results provide some computational basis for the vibration control and dynamic design of membrane structures.
Keywords
Membrane Structures, KBM Perturbation Method, Nonlinear Vibration, Rise Span Ratio
Reference
[1]
Zheng Zhou-lian, Song Wei-ju, Liu Chang-jiang, “Study on Dynamic Response of Rectangular Orthotropic Membranes Under Impact Loading”, Journal of AdhesionScience and Technology, 26(10-11), 1467-1479(2012).
[2]
Liu Chang-jiang, Zheng Zhou-lian, Song Wei-ju et al, “Power series solution of nonlinear free vibration frequency of isotropic rectangular thin plates in large amplitude”, Advanced Materials Research, v261-263(2011), 883-887(2011).
[3]
Liu Chang-Jiang, Zheng Zhou-Lian, “Dynamic analysis for nonlinear vibration of prestressed orthotropic membranes with viscous damping”, International Journal of Structural Stability and Dynamics, 13(2), 1-32(2013).
[4]
Zheng Zhou-Lian, Liu Chang-Jiang, He Xiao-Ting and Chen Shan-Lin. “Free Vibration Analysis of Rectangular Orthotropic Membranes in Large Deflection”, Mathematical Problems in Engineering, Vol.2009(2009).
[5]
Zhou-lian Zheng, Yun-ping Xu, Wei-ju Song, et al, “Nonlinear aerodynamic stability analysis of orthotropic membrane structures with large amplitude”, Structural Engineering & Mechanics, 37(4). 401-403(2011).
[6]
XU Yun-ping, ZHENG Zhou-lian LIU Chang-jiang, et al, “Aerodynamic Stability Analysis of Geometrically Nonlinear Orthotropic Membrane Structure with Hyperbolic Paraboloid”, Journal of Engineering Mechanics-ASCE, 137(11), 759–768(2011).
[7]
SUN Zhan-jin, ZHANG Qi-lin, “A study on pre-tension measurement of membrane structures”, International Journal of Space Structures, 20(2), 71–82(2005).
[8]
Glück M, Breuer M, Durst F, et al, “Computation of wind-induced vibrations of flexible shells and membranous structures”, Journal of Fluids and Structures, 17(5), 739–765(2003).
[9]
Z. S. Liu, H. P. Lee, and C. Lu, “Structural intensity study of plates under low-velocity impact”, International Journal of Impact Engineering, 31(8), 957–975(2005).
[10]
J. W. Fox, N. C. Goulbourne, “Electric field-induced surface transformations and experimental dynamic characteristics of dielectric elastomer membranes”, Journal of the Mechanics and Physics of Solids, 57(8), 1417–1435(2009).
[11]
HE Xiaoting, WU Jianliang, ZHENG Zhoulian, “Axisymmetrical deformation of prestressed.
[12]
Circular membrane under uniformly distributed loads”, Journal of Chongqing University, 33(1), 109-112(2010).
[13]
Sygulski R, “Numerical analysis of membrane stability in air flow”, Journal of Sound and Vibration, 201(3), 281-292(1997).
[14]
N. Banichuk, J. Jeronen, et al, “Static instability analysis for travelling membranes and plates interacting with axially moving ideal fluid”, Journal of Fluids and Structures, 26(2), 274-291(2010).
Open Science Scholarly Journals
Open Science is a peer-reviewed platform, the journals of which cover a wide range of academic disciplines and serve the world's research and scholarly communities. Upon acceptance, Open Science Journals will be immediately and permanently free for everyone to read and download.
CONTACT US
Office Address:
228 Park Ave., S#45956, New York, NY 10003
Phone: +(001)(347)535 0661
E-mail:
LET'S GET IN TOUCH
Name
E-mail
Subject
Message
SEND MASSAGE
Copyright © 2013-, Open Science Publishers - All Rights Reserved