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Modal Perturbation Method For The Dynamic Characteristics Of Timoshenko Beams, Meng-Lin Lou, Quihua Duan, Genda Chen

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

Timoshenko beams have been widely used in structural and mechanical systems. under dynamic loading, the analytical solution of a Timoshenko beam is often difficult to obtain due to the complexity involved in the equation of motion. In this paper, a modal perturbation method is introduced to approximately determine the dynamic characteristics of a Timoshenko beam. In this approach, the differential equation of motion describing the dynamic behavior of the Timoshenko beam can be transformed into a set of nonlinear algebraic equations. Therefore, the solution process can be simplified significantly for the Timoshenko beam with arbitrary boundaries. Several examples are given …