A derivation of the dynanic equilibrim equatiosn of composite nonprismatic beams made of aniso tropic materials and defined on an arbitrary coordinate system considering the effects of shear deformatiosn and strucutreal damping

摘要

In this paper,kHamilton;s principle is used to derive the dynamic equilibrium equaitosn of ocmposite nonoprismatic beams made of anisotropic mateirals.The warpign funciton-basis torsion formulation is first carr4ied out.The effects of transerse shear deformations and structural damping are considred.The displacemdents are defined on an arbitrarily selected coordinate syste.For Hamilton's principle,the dynamic behavior of non-prismatic beams is haracteiazed by two energy funcitons: a kinetic energy and a potentiala energy.The formaultion uses the procedrue of variational operaitons.The obtiaend dynamic equilibrium euqaitons and naturla boundary ocnditins re highly coupled.