Nonlinear Dynamic Response to a Moving Force of Timoshenko Beams Resting on Pasternak Foundations

摘要：

　　The present paper investigates the convergence of the Galerkin method for the dynamic response of Timoshenko beams resting on nonlinear foundations with six parameters subjected to a moving concentrated load.The dynamic response of the beam is obtained via the fourth-order Runge-Kutta method.The effects of different truncation terms on the dynamical responses of the nonlinear vibration are discussed.For the first time,the convergence of the Galerkin truncation for investigating the vibration of Timoshenko beams resting on nonlinear foundations is investigated.The numerical investigation shows that the dynamical response of finite Timoshenko beams supported by nonlinear viscoelastic foundations needs about 150 terms truncation.Furthermore,the dependence of the convergence of the Galerkin method on the system paramctcrs is numerically studied.

作者: Y.YANG H.DING L.-Q.CHEN

作者单位: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China Department of Mechanics, Shanghai University, Shanghai 200444, China

会议类型: 国际会议

会议名称: Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)

会议地点: 上海

会议语种:英文

页码: 352-355

在线出版日期: 2013-08-01（万方平台首次上网日期，不代表论文的发表时间）