Truss optimization with natural frequency constraints using a hybridized CSS-BBBC algorithm with trap recognition capability

Frequency constraint structural optimization includes the exploration of highly nonlinear and non-convex search spaces with several local optima. These characteristics of the search spaces increase the possibility of the agents getting trapped in a local optimum, when using a meta-heuristic algorithm. In this paper a diversity index is introduced which together with a few other criteria, can be employed to recognize such traps. By the use of these concepts, a hybridization of the Charged System Search and the Big Bang-Big Crunch algorithms with trap recognition capability is proposed. Five numerical examples are considered to demonstrate the efficiency of the algorithm.

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

[2]  Ramana V. Grandhi,et al.  Structural optimization with frequency constraints - A review , 1992 .

[3]  Ibrahim Eksin,et al.  A new optimization method: Big Bang-Big Crunch , 2006, Adv. Eng. Softw..

[4]  Ramin Sedaghati,et al.  Benchmark case studies in structural design optimization using the force method , 2005 .

[5]  B. Tabarrok,et al.  Structural optimization with frequency constraints using the finite element force method , 2002 .

[6]  Ramana V. Grandhi,et al.  Structural optimization with frequency constraints , 1988 .

[7]  A. Kaveh,et al.  A novel heuristic optimization method: charged system search , 2010 .

[8]  Meng Guang,et al.  Truss optimization on shape and sizing with frequency constraints based on genetic algorithm , 2005 .

[9]  Jiahao Lin,et al.  Structural optimization on geometrical configuration and element sizing with statical and dynamical constraints , 1982 .

[10]  Luciano Lamberti,et al.  Move limits definition in structural optimization with sequential linear programming. Part II: Numerical examples , 2003 .

[11]  El-Ghazali Talbi,et al.  Metaheuristics - From Design to Implementation , 2009 .

[12]  K. Lee,et al.  A new structural optimization method based on the harmony search algorithm , 2004 .

[13]  Chee Kiong Soh,et al.  Fuzzy Controlled Genetic Algorithm Search for Shape Optimization , 1996 .

[14]  Luciano Lamberti,et al.  Move limits definition in structural optimization with sequential linear programming. Part I: Optimization algorithm , 2003 .

[15]  Siamak Talatahari,et al.  Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures , 2009 .

[16]  Ali Kaveh,et al.  SHAPE AND SIZE OPTIMIZATION OF TRUSS STRUCTURES WITH FREQUENCY CONSTRAINTS USING ENHANCED CHARGED SYSTEM SEARCH ALGORITHM , 2011 .

[17]  Herbert Martins Gomes,et al.  Truss optimization with dynamic constraints using a particle swarm algorithm , 2011, Expert Syst. Appl..

[18]  Siamak Talatahari,et al.  Optimal design of skeletal structures via the charged system search algorithm , 2010 .

[19]  A. Kaveh,et al.  Charged system search for optimum grillage system design using the LRFD-AISC code , 2010 .

[20]  L. Lamberti,et al.  Comparison of the numerical efficiency of different Sequential Linear Programming based algorithms for structural optimisation problems , 2000 .

[21]  N. Stander,et al.  On the robustness and efficiency of the SAM algorithm for structural optimization , 1995 .