کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1705241 | 1012427 | 2009 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A semi-analytic approach for the nonlinear dynamic response of circular plates A semi-analytic approach for the nonlinear dynamic response of circular plates](/preview/png/1705241.png)
This paper presents a new semi-analytic perturbation differential quadrature method for geometrically nonlinear vibration analysis of circular plates. The nonlinear governing equations are converted into a linear differential equation system by using Linstedt–Poincaré perturbation method. The solutions of nonlinear dynamic response and the nonlinear free vibration are then sought through the use of differential quadrature approximation in space domain and analytical series expansion in time domain. The present method is validated against analytical results using elliptic function in several examples for both clamped and simply supported circular plates, showing that it has excellent accuracy and convergence. Compared with numerical methods involving iterative time integration, the present method does not suffer from error accumulation and is able to give very accurate results over a long time interval.
Journal: Applied Mathematical Modelling - Volume 33, Issue 12, December 2009, Pages 4303–4313