On Strain-Rate Dependence of Kinetic Energy in Homogenization Approach: Theory and Experiment

摘要

The presented work pertains to a homogenization-modeling technique developed for structures of repeated pattern to predict their dynamic behavior. Strain and kinetic-energy expressions for the fundamental element are found along with necessary assumptions that are made to reduce the order of the model. Subsequently, the partial differential equations for the equivalent one-dimensional model are derived. The method is applied to a planar truss structure, and the natural-frequency results are validated against the experimental values as well as the finite element results. The advantage of the present work over the previously established homogenization methods that employ the energy-equivalence technique is that the effects of strain components are included in the kinetic energy of the fundamental elements, which results in improved accuracy in the frequency estimations.