Techno Press
Techno Press

Structural Engineering and Mechanics   Volume 5, Number 5, September 1997, pages 565-576
DOI: http://dx.doi.org/10.12989/sem.1997.5.5.565
 
Optimal reinforcement design of structures under the buckling load using the homogenization design method
Min SJ, Kikuchi N

 
Abstract     [Full Text]
    The material-based homogenization design method generates arbitrary topologies of initial structural design as well as reinforcement structural design by controlling the amount of material available. However, if a small volume constraint is specified in the design of Lightweight structures, thin and slender structures are usually obtained. For these structures stability becomes one of the most important requirements. Thus, to prevent overall buckling (that is, to increase stability), the objective of the design is to maximize the buckling load of a structure. In this paper, the buckling analysis is restricted to the linear buckling behavior of a structure. The global stability requirement is defined as a stiffness constraint, and determined by solving the eigenvalue problem. The optimality conditions to update the design variables are derived based on the sequential convex approximation method and the dual method. Illustrated examples are presented to validate the feasibility of this method in the design of structures.

 
Key Words
    structural optimization, topology design, homogenization design method, buckling problem, reinforcement structure
 
Address
Min SJ, UNIV MICHIGAN,DEPT MECH ENGN & APPL MECH,ANN ARBOR,MI 48109
 

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