A derivation and solution of dynamic equilibrium equations of shear undeformable composite anisotropic beams using the DQEM

摘要

In this paper, Hamilton's principle is used to derive the dynamic equilibrium equatios of composite nonprismatic beams made of anisotropic materials. The effects of transverse shear deformations are ne- glected. The displacements are defined on an arbitrarily selected coordinate system. For Hamilton's principle, the dynamic behavior of nonprismatic beams is characterized by two energy functions: a kinetic energy and a potential energy. The formulation uses the procedure of variational operations.