The Concept of Topological Derivative for Eigenvalue Optimization Problem for Plane Structures

This paper presents the topological derivative of the first eigenvalue for the free vibration model of plane structures. We conduct a topological asymptotic analysis to account for perturbations in the domain caused by inserting a small inclusion. The paper includes a rigorous derivation of the topo...

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Bibliographic Details

Published in:	Mathematics
Main Authors:	Fernando Soares Carvalho, Carla Tatiana Mota Anflor
Format:	Article
Language:	English
Published:	MDPI AG 2024-09-01
Subjects:	optimal design of plane structures topological derivative first eigenvalue maximization
Online Access:	https://www.mdpi.com/2227-7390/12/17/2762