The finite Element Formulation and Analysis of the Dynamic Flexible Timoshenko Beam

유연한 Timoshenko 빔의 동역학적 유한요소 정식화 및 해석

This paper established the dynamic model of a flexible Timoshenko beam with geometrical nonlinearities subject to large overall motions by using the finite element method. The equations of motion are derived by using Hamilton principle based on expressing the kinetic and potential energies of the flexible beam in terms of generalized coordinates. The nonlinear constraint equations are adjoined to the system equations of motion by using Lagrange multipliers.