Static and Dynamic Analysis of Viscoelastic Structure

Generally, the incremental superposition method is used to analyze the stress and deformation of viscoelastic structures. In the calculation, the total time is divided into several intervals. It is assumed that the internal stress remains unchanged in each time interval. The creep deformation generated in this period is taken as the initial strain at the next moment, and the displacement increment is solved according to the elastic problem together with the load, and the total displacement is obtained gradually by superposition. In the study of this method, the integral constitutive relation is used in most cases, and the relaxation modulus is expressed by Prony series. Therefore, the convolution can be expressed by recursion formula, and the memory can be greatly reduced.