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.
Nonlinear Integer and Discrete Programming for Topological Decision Making in Engineering Design
School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907
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Sandgren, E. (March 1, 1990). "Nonlinear Integer and Discrete Programming for Topological Decision Making in Engineering Design." ASME. J. Mech. Des. March 1990; 112(1): 118–122. https://doi.org/10.1115/1.2912568
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