Influence of Temperature on the Dynamic Characteristics of Structures with Viscoelastic Dampers

A new method for the analysis of the dynamic properties of structures with viscoelastic (VE) dampers is proposed in this paper. For the first time, the proposed method enables analyses that take into account the influence of temperature on the dynamic characteristics of systems with VE dampers. The frequency-temperature correspondence principle is adopted (i.e.,a thermorheologically simple material of dampers is assumed). The problem is reduced to an appropriately formulated nonlinear eigenvalue problem with parameters. The eigenvalue problem is solved using the homotopy method and the incremental-iterative procedure. The results of several examples are presented and discussed in detail.