A Numerical Case Study on Contact Analysis with Large Displacement

Abstract

In case of geometrically non-linear analysis of plane frame structures, Bernoulli-Euler beam elements considering the shear deformation to be zero are generally used. But, in node-element contact case, when a contact point is approaching to one of both element ends, diverging of unbalanced forces makes the analysis impossible because of neglecting of the shear deformation. However, in such a case, the element force equation with Timoshenko beam theory which considers the shear deformation is quite effective. In this study, the contact element consistent of both ends and a contact node derived by Timoshenko beam theory is applied to several case of numerical examples. As a result, its convergent performance can be verified in the almost part of element and got accuracy of the solutions.