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A two-step procedure for discrete minimization of truss weight

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Abstract

Five optimization methods are investigated to solve for the combination of standard-size members that minimizes the weight of a truss subjected to stress, displacement, and minimumgage constraints. After comparing the performance of the five methods on four case studies, the writers recommend a two-step procedure. First, Sequential Quadratic Programming (SQP) is applied to solve the equivalent continuous problem, and crosssections are rounded up to standard sizes. Second, a Genetic Algorithm (GA) is applied to search locally for a better configuration of standard-size members. From the problems studied (having 16 standard sizes and up to 96 design variables) a weight reduction of the order of 5% appears possible from the second stage at an additional computational cost of about 20%.

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Bouzy, G., Abel, J.F. A two-step procedure for discrete minimization of truss weight. Structural Optimization 9, 128–131 (1995). https://doi.org/10.1007/BF01758830

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Keywords

  • Genetic Algorithm
  • Civil Engineer
  • Computational Cost
  • Design Variable
  • Weight Reduction