Time-history analysis based optimal design of space trusses: the CMA evolution strategy approach using GRNN and WA

In recent years, the need for optimal design of structures under time-history loading aroused great attention in researchers. The main problem in this field is the extremely high computational demand of time-history analyses, which may convert the solution algorithm to an illogical one. In this paper, a new framework is developed to solve the size optimization problem of steel truss structures subjected to ground motions. In order to solve this problem, the covariance matrix adaptation evolution strategy algorithm is employed for the optimization procedure, while a generalized regression neural network is utilized as a meta-model for fitness approximation. Moreover, the computational cost of time-history analysis is decreased through a wavelet analysis. Capability and efficiency of the proposed framework is investigated via two design examples, comprising of a tower truss and a footbridge truss.

[1]  Saeed Gholizadeh,et al.  Structural optimization by wavelet transforms and neural networks , 2011 .

[2]  Yaochu Jin,et al.  A comprehensive survey of fitness approximation in evolutionary computation , 2005, Soft Comput..

[3]  A. Kaveh,et al.  Size optimization of space trusses using Big Bang-Big Crunch algorithm , 2009 .

[4]  Jasbir S. Arora,et al.  Optimal Design of H-Frame Transmission Poles for Earthquake Loading , 1999 .

[5]  S. Gholizadeh,et al.  OPTIMAL DESIGN OF STRUCTURES SUBJECTED TO TIME HISTORY LOADING BY SWARM INTELLIGENCE AND AN ADVANCED METAMODEL , 2009 .

[6]  E. Salajegheh,et al.  TIME HISTORY DYNAMIC ANALYSIS OF STRUCTURES USING FILTER BANKS AND WAVELET TRANSFORMS , 2005 .

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

[8]  I. Towhata.  Geotechnical Earthquake Engineering , 2008 .

[9]  Alexander I. Galushkin,et al.  Neural Networks Theory , 2007 .

[10]  Ali Kaveh,et al.  A HYBRID PARTICLE SWARM AND ANT COLONY OPTIMIZATION FOR DESIGN OF TRUSS STRUCTURES , 2008 .

[11]  Anil K. Chopra,et al.  Dynamics of Structures: Theory and Applications to Earthquake Engineering , 1995 .

[12]  Martin T. Hagan,et al.  Neural network design , 1995 .

[13]  Truong Q. Nguyen,et al.  Wavelets and filter banks , 1996 .

[14]  Ali Kaveh,et al.  Performance-based multi-objective optimization of large steel structures , 2012, Metaheuristic Optimization Algorithms in Civil Engineering: New Applications.

[15]  J. Z. Zhu,et al.  The finite element method , 1977 .

[16]  Mohsen Khatibinia,et al.  Optimal design of structures for earthquake loads by a hybrid RBF-BPSO method , 2008 .

[17]  Jasbir S. Arora,et al.  Optimal Design of Latticed Towers Subjected to Earthquake Loading , 2002 .

[18]  Singiresu S. Rao.  The finite element method in engineering , 1982 .