A Comparison for the Simulation of Frictionless Contact Problem with Large Displacement

W2240652482 · 수집 2026-10-04 18:12:22

T12252 Mechanical stress and fatigue analysis

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Studies of contact problem have been widely executed by researchers with variable scopes, methods and definitions. A common problem occurs while handling contact phenomena is sliding through element boundary [1], due to the discontinuity of the local coordinate between elements and a contact point [2] [3]. The common problem that occurs at an element boundary is a stable convergence result is hard to achieve [4], thus inspires authors to make a comparison of two beam methods which are Euler-Bernoulli beam theory and Timoshenko beam theory for frictionless contact problem. Authors have been investigated geometrically non-linear analysis with extremely large displacements by using Tangent Stiffness Method (TSM) [5], a robust non-linear analysis method to execute analysis and produce results with high accuracy. In this study, authors propose the modification of the beam elements with three nodes by considering the adaptation of shear deformation by Timoshenko beam theory. The modification enables the contact point to slide through the element edge smoothly and some numerical examples are provided in this study.

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