Analysis of fractional differential equation to compare the dynamic behavior of a single degree of freedom system models using a shaking table

Abstract

AbstractA mathematical model to describe the dynamic behavior of a single degree of freedom system, SDFS, model in springs and damps assembles in series and parallel models in a laboratory, is presented. Kelvin–Voigt fractional derivative rheological models, KVFRdm, was used to solve the fractional differential equations of motion by numerical methods.