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FINITE ELEMENT INVESTIGATION OF THE DYNAMIC DEFORMATION OF SINGLE-LAYER ISOTROPIC PLATES INTERACTING WITH A VISCOELASTIC MEDIUM

R.B. ButayevAssociate Professor, Jizzakh Branch of the National University of Uzbekistan named after Mirzo Ulugbek UzbekistanGulzira MirzoyevaAssistant Lecturer, Department of Exact Sciences, Bukhara State Technical University, UzbekistanB.E. NabiyevPhysics Teacher, Academic Lyceum of Jizzakh State Pedagogical University, UzbekistanS.T. KarimovaLecturer, Department of Physics and Energy, Tashkent Institute of Chemical Technology, Uzbekistan

2026en

ABI

Annotatsiya

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.

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Identifikatorlar

DOI: 10.5281/zenodo.22880032

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