Abstract: Using viscoelastic theory, a structural damping model with five control parameters is introduced as the constitutive equation for damping alloy. Based on the experimental data evaluation, the five parameters are fitted by using an optimization algorithm. Dynamic equations of beam element of damping alloy are derived with above five parameters representing the dissipation and stiffness characteristics. For the convenience of computation, the established dynamic equations containing convolution integration are changed into four-order differential equations. Further, the system dynamic equation of the elastic linkage mechanism containing damping alloy parts is assembled according to the kineto-elastodynamics theory. Finally, the state space method is employed to solve the established high order differential equations with time-varying coefficients. An example is given to show that the proposed model is accurate and effective.

Key words: Damping alloy, Elastic linkage mechanism, Five parameters, Time-domain constitution