Approximation of a Shear Beam Model by a Shear Model with Frequency Dependent Restoring Force Characteristics

Abstract

In this paper, I propose a theory that transforms a shear beam model into a multi-degree of freedom system (MDOF). Furthermore, I validate this theory by numerical analysis. This validation shows findings as follows. First, the equivalent MDOF based on the proposed theory well agree with the original shear beam model if a deformation component which propagates as elastic wave has dominant influences on the total deformation. Second, shear springs in the equivalent MDOF have frequency dependence.