Abstract
A time integration method based on the weak form Galerkin method is proposed for non-viscous damping systems with a convolution damping model. The non-viscous damping model takes the complete velocity history into account through a convolution. This generic time integration method is developed for any causal kernel functions. The displacements is approximated by using Lagrangian interpolation function in one time elements. The weak form of the differential equation is computed by using Galerkin method. The weak form Galerkin method computational procedure of dynamic responses of non-viscous damping systems is given in detail. Numerical examples are provided to illustrate the accuracy and the efficiency of the integration by comparison with other numerical methods.
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