Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method

The uniform formulation of dynamic vibration analysis multispan beams is presented by using an efficient domain decomposition method in this paper. Firstly, the structure divided into several equal sections based on method. Next, artificial spring used to simulate complex boundaries and continuity condition beam. Finally, admissible displacement functions are expanded through Jacobi orthogonal polynomials, free forced characteristics beam structures can be obtained Rayleigh–Ritz Results for various boundary conditions, ratios thickness length (h/L), numbers, stiffness supporting springs presented. It clearly shown that accurate solutions proposed method, study extends application range polynomials-Ritz In addition, research results paper provide data support engineers such as bridge designers design bridges.