Structural Engineering and Mechanics
Volume 24, Number 5, 2006, pages 529-541
DOI: 10.12989/sem.2006.24.5.529
Genetic optimization of vibrating stiffened plates
Jean Luc Marcelin
Abstract
This work gives an application of stochastic techniques for the optimization of stiffened plates in vibration. The search strategy consists of substituting, for finite element calculations in the optimization process, an approximate response from a Rayleigh-Ritz method. More precisely, the paper describes the use of a Rayleigh-Ritz method in creating function approximations for use in computationally intensive design optimization based on genetic algorithms. Two applications are presented; their deal with the optimization of stiffeners on plates by varying their positions, in order to maximize some natural frequencies, while having well defined dimensions. In other words, this work gives the fundamental idea of using a Ritz approximation to the response of a plate in vibration instead of finite element analysis.
Key Words
optimization; stiffened plates; genetic algorithms; Rayleigh-Ritz method; vibrations.
Address
Laboratorie Sols Solides Structures 3S, UMR CNRS C5521, Domaine Universitaire, BP n