An Approach for Solving the Eigenvalue Problem of Timoshenko Clamped Beam
Lou Menglin, Shi Shuzhong
(State Key Laboratory for Disaster Reduction in Civil Engineering, Tong ji University ,Shanghai, 200092)

Abstract: By applying the modal perturbation method, the complicated partial differential equation of Timoshenko beam can be transformed to a set of nonlinear algebraic equations which is easy to solve and has higher computing precision and better applicability. From numerical example, the effect of shear deformation and rotatory inertia on the natural frequencies of the Timoshenko clamped beam is discussed under different slender conditions.
Keywords: eigenvalue problem, modal perturbation solution, timoshenko beam.