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） 

机构地区：[1]Dept. of Eng. Mechanics, Shanghai Jiaotong Univ. , Shanghai 200030, China

出　　处：《Journal of Shanghai Jiaotong university(Science)》2005年第4期424-428,共5页上海交通大学学报（英文版）

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

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.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 EulerBernoulli 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.

关 键 词：flexible beam absolute nodal coordinate formulation shear strain transverse normal strata 

分 类 号：TU7[建筑科学—建筑技术科学]