Homotopy perturbation solution for strong geometrical nonlinear vibration of flat prestressed orthotropic membrane structure

2013 ◽  
pp. 313-316
Author(s):  
C Liu ◽  
X Yang ◽  
H Zhao ◽  
Z Zheng
Keyword(s):  
Nonlinear Vibration ◽  
Membrane Structure ◽  
Perturbation Solution ◽  
Homotopy Perturbation ◽  
Geometrical Nonlinear

Accurate Solutions to Nonlinear Vibration of Single-Walled Carbon Nanotube via Homotopy Perturbation Method

2013 ◽  
Vol 662 ◽  
pp. 59-63
Author(s):  
Xin Mou Ma ◽  
Lie Zhen Chang
Keyword(s):  
Carbon Nanotube ◽  
Perturbation Method ◽  
Nonlinear Vibration ◽  
Analytical Solutions ◽  
Homotopy Perturbation Method ◽  
Order Approximation ◽  
Accurate Solution ◽  
Single Walled Carbon Nanotube ◽  
Vibration Equation ◽  
Homotopy Perturbation

In this study, analytical solutions are obtained by homotopy perturbation method (HPM) for the nonlinear vibration equation of single-wall nanotube (SWNT). Novel and accurate analytical solutions for the frequency and displacement are derived. Comparison of the result obtained by the HPM with exact solutions reveals that only the first or second order approximation of the HPM leads to higher accurate solution.

Stochastic nonlinear vibration and reliability of orthotropic membrane structure under impact load

2017 ◽  
Vol 119 ◽  
pp. 247-255 ◽  
Author(s):  
Dong Li ◽  
ZhouLian Zheng ◽  
Yuan Tian ◽  
JunYi Sun ◽  
XiaoTing He ◽  
...  
Keyword(s):  
Nonlinear Vibration ◽  
Membrane Structure ◽  
Impact Load

scholarly journals Analytical Solution of the Nonlinear Vibration of the Steel Skeleton Supported Membrane Structure

2020 ◽  
Vol 964 ◽  
pp. 012003
Author(s):  
Mengfei Wang ◽  
Changjiang Liu ◽  
Haibing Xie ◽  
Su Jiang ◽  
Mengjia Zhang ◽  
...  
Keyword(s):  
Analytical Solution ◽  
Nonlinear Vibration ◽  
Membrane Structure ◽  
Supported Membrane
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