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

Abstract

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 and time constant are measured experimentally, and these values are substituted into the 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 visco-elastic 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.