Determination of constants of a visco-elastic model of a binding agent

A method for determining the constants of a three-element visco-elastic model of a binding agent is shown. The frequency equation of a three-layer sandwich beam with a visco-elastic binding agent core is derived under the boundary condition of both ends free, and the damped free vibration frequency equation, resulting in the function of visco-elastic constants. Then, regarding the absolute value of the frequency equation as the estimation function to become zero, and considering viscoelastic constants as control variables, the visco-elastic constants of four kinds of binding agents are determined by the Rosenbrock nonlinear programming method. Then, the step impulsive response of a two-layer simple supported beam which is bound by those binding agents is analyzed by using three-layer beam theory, showing the fairly large damping effect of a binding agent.