Modal Analysis of a Flexible Beam Attaching Multiple Absorbers

摘要

Structural wave propagation in beam structures can lead to unwanted noise transmission and radiation. Dissipation effects of the multiple absorbers have been proved. This paper presents a model of flexible beam with complex boundary conditions and this model with multiple attaching absorbers which are used to dissipate energy of main structure. The beam model are formulated by linear Lagrange equation and discretized by the Ritz method and the model with multiple absorbers is introduced by substructure method. Consequently the mass matrix and stiffness matrix are obtained and numerical simulation is processed. Natural frequencies with corresponding modal mode of are obtained. Comparing the results between two models, the absorbers can enhance the natural frequencies effectively and the quantities of absorbers agree with the orders of frequencies and corresponding modes.