Research on Nonlinear Vibration Characteristics of Saddle- Shaped Orthotropic Membrane
[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.
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.
Membrane Structures, KBM Perturbation Method, Nonlinear Vibration, Rise Span Ratio
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