Nonlinear Vibration Solution for an Inclined Timoshenko Beam Under the Action of a Moving Force with Constant/Nonconstant Velocity

摘要: This study is focused on the nonlinear dynamic response of an inclined Timoshenko beam with different boundary conditions subjected to a moving force under influence three types motions, including accelerating, decelerating and constant-velocity motion. The governing coupled partial differential equations (PDEs) motion for bending rotation warped cross section its longitudinal transverse displacements are derived by using Hamilton’s principle. To obtain action force, PDEs solved applying Galerkin’s method. Then obtained mode summation technique. Furthermore, calculated results verified finite-element method (FEM) analysis. In next step, parametric conducted changing magnitude traveling concentrated velocity beam. Similarly, their sensitivity also studied. It observed that existence quadratic-cubic nonlinearity in renders hardening/softening behavior Moreover, we note any restriction imposed stretching mid-plane introduces