TY - JOUR
T1 - A semi-analytic approach for the nonlinear dynamic response of circular plates
AU - Peng, J. S.
AU - Yuan, Y. Q.
AU - Yang, J.
AU - Kitipornchai, S.
PY - 2009/12
Y1 - 2009/12
N2 - 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. © 2009 Elsevier Inc. All rights reserved.
AB - 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. © 2009 Elsevier Inc. All rights reserved.
KW - Circular plates
KW - Differential quadrature method
KW - Nonlinear vibration
KW - Perturbation technique
KW - Semi-analytical approach
UR - http://www.scopus.com/inward/record.url?scp=68049142267&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-68049142267&origin=recordpage
U2 - 10.1016/j.apm.2009.03.007
DO - 10.1016/j.apm.2009.03.007
M3 - RGC 21 - Publication in refereed journal
SN - 0307-904X
VL - 33
SP - 4303
EP - 4313
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
IS - 12
ER -