FINITE ELEMENT INVESTIGATION OF THE DYNAMIC DEFORMATION OF SINGLE-LAYER ISOTROPIC PLATES INTERACTING WITH A VISCOELASTIC MEDIUM
DOI:
https://doi.org/10.5281/zenodo.22880033Abstract
This thesis investigates the dynamic stress–strain state of single-layer isotropic plates interacting with a viscoelastic medium using the finite element method (FEM). The plate is modeled within the classical Kirchhoff–Love theory, while the foundation is represented by a Kelvin–Voigt-type viscoelastic (Winkler–Pasternak) model. A finite-element discrete model is constructed, the mass, stiffness, and dissipative matrices are derived, and a time-integration algorithm based on the Newmark method is developed. Numerical results for free and forced vibrations are presented in tables and diagrams for various dissipation and foundation-stiffness parameters, and regularities in the dynamic amplification factor and amplitude decay are established.Keywords
isotropic plate, viscoelastic medium, finite element method, forced vibrations, dynamic stress–strain state, Newmark method, dissipative matrixReferences
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