Eventos Anais de eventos
DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
Invariant Solutions to the Mode Shape Equation of Uniform Rectangular Kirchhoff Plates
Submission Author:
AFONSO NUNES , SP
Co-Authors:
AFONSO NUNES, Samuel da Silva, Stylianos Dimas
Presenter: AFONSO NUNES
doi://10.26678/ABCM.DINAME2023.DIN2023-0014
Abstract
The present work derives exact --- invariant --- solutions to the mode shape equation of uniform rectangular Kirchhoff plates via enhanced group analysis techniques. The study of the optimal system of the finite-dimensional Lie algebra of the admitted classical Lie point symmetries yields three nonequivalent invariant solutions to the studied equation. An additional invariant solution arises from nonclassical Lie point symmetries.
Keywords
Exact invariant solutions, mode shape equation, Kirchhoff plate model, enhanced group analysis, Lie point symmetries
