Structural Design Optimization using Parameterized P-norm Based Geometric Programming Technique

  IJCOT-book-cover
 
International Journal of Computer & Organization Trends  (IJCOT)          
 
© 2016 by IJCOT Journal
Volume - 6 Issue - 2
Year of Publication : 2016
Authors : Mridula Sarkar, Samir Dey, Tapan Kumar Roy
DOI : 10.14445/22492593/IJCOT-V33P308

Citation

Mridula Sarkar, Samir Dey, Tapan Kumar Roy"Structural Design Optimization using Parameterized P-norm Based Geometric Programming Technique", International Journal of Computer & organization Trends (IJCOT), V6(2):34-43 Mar - Apr 2016, ISSN:2249-2593, www.ijcotjournal.org. Published by Seventh Sense Research Group.

Abstract In this paper we will make an approach to solve single objective structural model using parameterized p-norm based fuzzy Geometric Programming technique. A structural design model in fuzzy environment has been developed. Here pnorm based generalised triangular fuzzy number (GTFN) is considered as fuzzy parameter so that the decision maker can take advantage of no-exact parameter. Generalised triangular p-norm is discussed with their basic properties and some special cases. In this structural model formulation, the objective function is the weight of the truss; the design variables are the cross-sections of the truss members; the constraints are the stresses in members. A classical truss optimization example is presented here in to demonstrate the efficiency of our proposed optimization approach. The test problem includes a two-bar planar truss subjected to a single load condition. This approximation approach is used to solve this single-objective structural optimization model. The model is illustrated with numerical examples.

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Keywords-
Generalized Triangular Fuzzy Number, p-norm, Geometric Programming, Single Objective Optimization, Structural Optimization.