LARGE DEFLECTION DYNAMIC RESPONSE ANALYSIS OF FLEXIBLE BEAMS BY MULTIBODY SYSTEM METHOD

Large deflection dynamic problems of Euler beams are investigated. Their vibration governing equations are derived based on multibody system method. A numerical procedure for solving the resulting differential algebraic equations is presented by employing Newmark direct integration method combined with Newton-Raphson iterative method. The sub-beams are treated as having small deformation in the body fixed coordinate systems, which can greatly simplify the deformation description. The rigid body motions of the sub-beams are taken into account through the motions of the body fixed coordinate systems. Numerical example results show the effectiveness of the proposed method.