Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
TOPOLOGICAL DERIVATIVE APPLIED TO THE EIGENVALUE PROBLEM IN A MEMBRANE STRUCTURE
Submission Author:
Dirlei Ruscheinsky , TO , Brazil
Co-Authors:
Dirlei Ruscheinsky, FERNANDO CARVALHO, Carla Anflor, André Novotny
Presenter: Dirlei Ruscheinsky
doi://10.26678/ABCM.COBEM2019.COB2019-0872
Abstract
During the last years the topological derivative has been developed for a wide range of physical phenomenon modeled by partial differential equations. In this work the topological derivative for the eigenvalue function is derived through the modified Helmholtz equation. The obtained closed form for the topological derivative allows optimizing the membrane structures. In this methodology the first eigenvalue is maximized by using the linear penalty method for volume control. Finally, three example applications are given to substantiate the feasibility of the approaches presented in this paper.
Keywords
Topological Derivative, Topological Optimization, eigenvalue, Membrane
