Vibration analysis of FG beams under arbitrary load with general boundary conditions: Theoretical and experimental comparative research

In this paper, the experimental and Jacobi–Ritz method have been adopted to analyze the free and forced vibration comparative analysis of FG beams with general boundary conditions. The rigid-fixed steel beam at both ends is taken as an experimental model, and the free, steady and transient vibration characteristics of the structure under hammer and fixed exciter are recorded. The domain decomposition method and Jacobi orthogonal polynomials are introduced to ensure the convergence and accuracy of the algorithm, and the artificial spring is used to simulate different boundary restraint and continuity condition of the beam. The vibration characteristics of the beam can be obtained by using Rayleigh–Ritz method, in which the Newmark-β integration method is adopted to realize the time domain solutions for transient vibration response. The results show that the results of proposed method are in sensible agreement with those from published literature, experiment and FEM. In addition, the results for various boundary conditions, structural parameter and power-law exponent are also presented.