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Near-optimal solutions for two point loads between two supports

The half plane domain

Abstract

Extending a previous work, a near-optimal family of solutions for the two-load problem is shown, here restricted to the half plain domain. This family is compared with the benchmarks obtained by Sokół and Lewiński (2011a), resulting the cost only slightly larger than the benchmarks, being its geometry simpler. Results taking into account horizontal forces which can be originated by the friction between foundation and ground or by active applied forces are also shown. Finally, an exploration of layouts resulting for solutions to this problem with few nodes is included.

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Correspondence to Carlos Olmedo Rojas.

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Rojas, C.O., Bravo, J.C. & Espí, M.V. Near-optimal solutions for two point loads between two supports. Struct Multidisc Optim 52, 663–675 (2015). https://doi.org/10.1007/s00158-015-1258-4

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Keywords

  • Layout optimization
  • Trusses
  • Close upper bounds