Finite element model for a cantilever beam with viscoelastic free-layer damping

According to the constitutive equations and governing differential equations of anelastic displacement fields (ADF) model, a finite element equation of free-layer damping (FLD) cantilever beam was studied. Lanczos algorithm was applied to calculate modal frequencies and damping ratios of the FLD cantilever beam, with the parameters' fitting results of a type of asphalt materials. Through comparing the results with the experimental ones, some good conclusions can be drawn. The ADF method can be used to implement the viscoelastic material model exactly, enabling the straightforward development of time-domain finite elements. With these features, ADF model can be used in dynamic analysis of compound structure conveniently.