STRUCTURAL OPTIMIZATION MODEL WITH IMPRECISE RESOURCES

The main goal of the structural optimization is to minimize the weight of structures while satisfying all design requirements imposed by design codes. In this paper, an algorithm is proposed to minimize the weight of nonlinear truss structure under uncertainty. We consider a single objective nonlinear structural design model from Nicholas Ali et al.’s [14] to verify that the proposed algorithm is an effective optimization algorithm in the creation of an optimal design for truss structures. Numerical example is provided to illustrate our algorithm. The result shows that this algorithm is a powerful search and optimization technique for structural design.

[1]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[2]  José L. Verdegay,et al.  Towards a new strategy for solving fuzzy optimization problems , 2009, Fuzzy Optim. Decis. Mak..

[3]  Ali Kaveh,et al.  Nonlinear analysis and optimal design of structures via force method and genetic algorithm , 2006 .

[4]  A. Kandel Fuzzy Mathematical Techniques With Applications , 1986 .

[5]  Raul Poler,et al.  Non-Linear Programming , 2014 .

[6]  Kamran Behdinan,et al.  Applicability and viability of a GA based finite element analysis architecture for structural design optimization , 2003 .

[7]  C. Hwang,et al.  Fuzzy Mathematical Programming: Methods and Applications , 1995 .

[8]  H. Zimmermann Fuzzy sets, decision making, and expert systems , 1987 .

[9]  Federico M. Nadela,et al.  Comparative Strength of Common Structural Shapes Using Genetic Algorithms , 2009 .

[10]  Andrea Marino,et al.  On the Structural Shape Optimization through Variational Methods and Evolutionary Algorithms , 2011 .

[11]  Madan M. Gupta,et al.  Fuzzy mathematical models in engineering and management science , 1988 .

[12]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[13]  Hojjat Adeli,et al.  System identification in structural engineering , 2012 .

[14]  D. Wang,et al.  Truss Optimization on Shape and Sizing with Frequency Constraints , 2004 .

[15]  Weihong Zhang,et al.  Truss shape optimization with multiple displacement constraints , 2002 .

[16]  H. Zimmermann,et al.  Fuzzy Set Theory and Its Applications , 1993 .