Structural damping time-domain constitution and its application

In this paper, the standard three parameters model of viscoelastic mechanics is introduced as the constitutive equation for damping alloy. Based on the experimental data, the three parameters are fitted using an optimization algorithm. The finite element dynamic equations are derived through the established three parameters constitution. For the convenience of computation, the established finite element equations containing convolution integration are changed into three order ordinary differential equations, which then transformed into a standard state variable model. Numerical example is given to show the effectiveness of the presented method in studying dynamic characteristics of structure and machines containing damping alloy components.