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Dynamic Formulation Using Finite Element and Its Analysis for Flexible Beam  

Yun Seong-Ho (금오공과대학교 기계공학부)
Eom Ki-Sang (금오공과대학교 자동차공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.18, no.4, 2005 , pp. 385-393 More about this Journal
Abstract
This paper established the dynamic model of a flexible Timoshenko beam capable of geometrical nonlinearities subject to large overall motions by using the finite element method. Equations of motion are derived by using Hamilton principle and are formulated in terms of finite elements in which the nonlinear constraint equations are adjoined to the system using Lagrange multipliers. The Newmark direct integration method and the Newton-Raphson iteration are employed here for the numerical study which is to demonstrate the efficiency of the proposed formulation.
Keywords
finite element formulation; flexible beam; Coriolis force; Gyroscopic force; Newmark integration method Newton-Raphson method;
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