Nonlinear Integer and Discrete Programming for Topological Decision Making in Engineering Design

[+] Author and Article Information
E. Sandgren

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

J. Mech. Des 112(1), 118-122 (Mar 01, 1990) (5 pages) doi:10.1115/1.2912568 History: Received July 01, 1989; Online June 02, 2008


The use of integer, discrete, and zero-one design variables to represent topological design decisions is presented. A general purpose algorithm for solving nonlinear problems involving material assembly and other topological decisions is described. The algorithm couples a branch and bound approach with an exterior penalty function and a quadratic programming method. Examples concerning the design of a support beam and a structural truss are presented with decisions involving material selection, assembly, and crossectional geometry included in the problem formulation.

Copyright © 1990 by The American Society of Mechanical Engineers
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