Nonlinear Absolute Nodal Coordinate Formulation of a Flexible Beam Considering Shear Effect

作     者：LIU Jin-yang（刘锦阳） SHEN Ling-jie（沈凌杰） HONG Jia-zhen（洪嘉振） 

作者机构：Dept. of Eng. Mechanics Shanghai Jiaotong Univ. Shanghai 200030 China 

出 版 物：《Journal of Shanghai Jiaotong university(Science)》 (上海交通大学学报（英文版）)

年 卷 期：2005年第10卷第4期

页      面：424-428页

核心收录：

学科分类：08[工学] 081402[工学-结构工程] 0814[工学-土木工程] 

基　　金：National Natural Science Foundation ofChina (No.10472066 10372057) 

主　　题：flexible beam absolute nodal coordinate formulation shear strain transverse normal strata 

摘      要：Nonlinear modeling of a flexible beam with large deformation was investigated. Absolute nodal cooridnate formulation is employed to describe the motion, and Lagrange equations of motion of a flexible beam are derived based on the geometric nonlinear theory. Different from the previous nonlinear formulation with Euler-Bernoulli assumption, the shear strain and transverse normal strain are taken into account. Computational example of a flexible pendulum with a tip mass is given to show the effects of the shear strain and transverse normal strain. The constant total energy verifies the correctness of the present formulation.