Premium
Solutions to shape and topology eigenvalue optimization problems using a homogenization method
Author(s) -
Díaaz Alejandro R.,
Kikuchi Noboru
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620350707
Subject(s) - homogenization (climate) , topology optimization , eigenvalues and eigenvectors , mathematics , topology (electrical circuits) , mathematical optimization , elasticity (physics) , shape optimization , structural engineering , finite element method , engineering , materials science , composite material , physics , biodiversity , ecology , quantum mechanics , combinatorics , biology
A solution strategy to find the shape and topology of structures that maximize a natural frequency is presented. The methodology is based on a homogenization method and the representation of the shape of the structure as a material property. The problem is formulated as a reinforcement problem in which a given structure is reinforced using a prescribed amount of material. Two dimensional, plane elasticity problems are considered. Examples are presented for illustration.