A Decomposition Method for the Analysis of Viscoelastic Structural Dynamics with Time‐Dependent Poisson's Ratio

:  This paper presents a decomposition method for the dynamic analysis of elastic–viscoelastic composite (EVC) structures with time-dependent Poisson's ratio. The analysis splits the viscoelasticity matrix with time-dependent Poisson's ratio into two matrices in a simple form in which the time-dependent Poisson's ratio does not appear. The decomposition simplifies the process of dynamical analysis for EVC structures with time-dependent Poisson's ratio. The approach also makes it possible to apply existing analysis methods for constant Poisson's ratio structures directly to structures with time-dependent Poisson's ratio. Based on the numerical results of three case studies, it is found that the time-dependent Poisson's ratio has little influence on the structure's natural frequencies and damping properties. Therefore, it could be concluded that the effect of time-dependency in Poisson's ratio may be ignored in the EVC structural dynamic analysis without introducing notable errors.

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