Vibration Characteristic of a Transition Constrained Damping Beam Based on the Shear Dissipating Energy Assumption

Abstract

Adding a “transition layer” could further improve the dissipation ability of the original constrained damping structure to the external vibration. At the same time, the addition of the transition layer brings many difficulties in establishing the model and acquiring the relevant characteristics of the• structure. Based on the shear dissipating energy assumption and the Hamilton principle, the finite element model of the transition constrained damping beam is established. On the basis of this reasonable assumption, the whole derivation process is simplified and easy to read by regularizing the element stiffness and mass matrix, and the expression of loss factor and natural frequency of damping beam is obtained. In order to verify the correctness of the model, the computed results are compared with the analytical solution, and both are found to be in good agreement. Taking the cantilever damping beam as an example, the influence of the material choice of the transition layer and the structural parameters on the natural frequency and the loss factor of the structure are discussed. The results of this paper would lay a good foundation for further optimization and practical engineering application.