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Formulations of Linear and Nonlinear Finite Element for Dynamic Flexible Beam  

Yun Seong-Ho (금오공과대학교, 기계공학부(자동차))
Publication Information
Journal of the Korean Society for Precision Engineering / v.23, no.2, 2006 , pp. 113-121 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 using CO elements in which the nonlinear constraint equations are adjoined to the system using Lagrange multipliers. In the final formulation are presented Coriolis and Gyroscopic forces as well as linear and nonlinear stiffnesses effects for the forthcoming numerical computation.
Keywords
Fnite element formulation; Nonlinear dynamics; Flexible beam; Coriolis force; Gyroscopic force;
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Times Cited By KSCI : 1  (Citation Analysis)
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