In this paper, the five parameters model of viscoelastic theory is introduced as the constitutive equation for damping alloy. Based on the experiment data, the five parameters are fitted by using an optimization algorithm. The finite element dynamic equations are derived through the established five parameters constitution. For the convenience of the computation, the established dynamic equations containing convolution integration are changed into ordinary differential equations. By means of the Kineto-Elastodynamic theory, the system dynamic equation of elastic linkage mechanism is gained. In order to solve the high order differential equations, the state space method is employed. An example is given to show that the model proposed in this paper is more accurate and stable than the three parameters damping model.

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