Predicting dynamicresponse of large amplitude free vibrations of cantilever tapered beams on anonlinear elastic foundation
Predicting dynamicresponse of large amplitude free vibrations of cantilever tapered beams on anonlinear elastic foundation
复制标题
预测非线性弹性地基上悬臂锥形梁大振幅自由振动的动力响应
DOI：
10.1007/s00419-016-1221-x
复制
发表时间：
2017
影响因子：
2.8
通讯作者：
Sun Weipeng
中科院分区：
文献类型：
--
作者：
Yu Yongping;Zhang Hongzhi;Sun Youhong;Sun Weipeng
The purpose of this paper is to investigate the nonlinear vibration behavior of single and double tapered cantilever beams on the nonlinear foundation and present an alternative analytical method to solve the issue. Unlike other literatures, the admissible lateral displacement function satisfying the geometric boundary conditions of a single or double tapered cantilever beam is derived by using Rayleigh-Ritz method. Analytical approximate solutions in closed and explicit form are obtained by combining the Lagrange method with the Galerkin and Newton linearization method. Compared with the exact (numeric) results, the accuracy of these approximate solutions is presented. The effects of different parameters such as vibration amplitude, and foundation stiff parameters on nonlinear frequencies and displacement response of the tapered beams are easily analyzed, with the brief expressions of the present analytical approximate solutions.
