Determination of Constants of a Viscoelastic Model of a Bonding Agent

Abstract

A method for determining the constants of a three-element viscoelastic model of a bonding agent is present. The frequency equation of a three-layer-sandwich beam with a viscoelastic bonding agent core is derived under a boundary condition requiring that both ends are free. The damped free vibration frequency and the time constant are measured experimentally, and these values are substituted into the frequency equation, resulting in the function of viscoelastic constants. Regarding the absolute value of the frequency equation as the estimation function to approach zero, and considering the viscoelastic constants as control variables, the viscoelastic constants of four kinds of bonding agents are determined by the Rosenbrock nonlinear programing method. Then, the step impulsive response of a two-layer simply supported beam which is bound by those bonding agents is analyzed by using the three-layer beam theory. Results show the fairly large damping effect of the bonding agent.