A Systems Approach to Structural Topology Optimization: Designing Optimal Connections

Author:

Jiang T.1,Chirehdast M.2

Affiliation:

1. Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI

2. Advanced Vehicle Technology, Ford Motor Company, Dearborn, MI

Abstract

In this paper, structural topology optimization is extended to systems design. Locations and patterns of connections in a structural system that consists of multiple components strongly affect its performance. Topology of connections is defined, and a new classification for structural optimization is introduced that includes the topology optimization problem for connections. A mathematical programming problem is formulated that addresses this design problem. A convex approximation method using analytical gradients is used to solve the optimization problem. This solution method is readily applicable to large-scale problems. The design problem presented and solved here has a wide range of applications in all areas of structural design. The examples provided here are for spot-weld and adhesive bond joints. Numerous other potential applications are suggested.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference27 articles.

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2. Barthelemy J.-F. M. , and HaftkaR. T., 1993, “Recent Advances in Approximation Concepts for Structural Optimization,” Structural Optimization, Vol. 15, No. 1, pp. 1–15.

3. Barthelemy, J.-F. M., and Haftka, R. T., 1994, “Function Approximations,” In Structural Optimization: Status and Promise, edited by M. P. Kamat, AIAA, Washington, D.C., pp. 51–70.

4. Bendso̸e M. P. , 1989, “Optimal Shape Design as a Material Distribution Problem,” Structural Optimization, Vol. 1, pp. 193–202.

5. Bendso̸e M. P. , and KikuchiN., 1988, “Generating Optimal Topologies in Structural Design Using a Homogenization Method,” Computer Methods in Applied Mechanics and Engineering, Vol. 71, pp. 197–224.

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