Optimum design of structures against earthquake by discrete wavelet transform

International Journal for Numerical Methods in Engineering

Volumn 62, Issue 15, 2005, Pages 2178-2192

  Salajegheh, Eysa ^a   Heidari, Ali ^a   Saryazdi, Saeid ^a  

^a SHAHID BAHONAR UNIVERSITY OF KERMAN   (Iran)

Author keywords

Discrete wavelet transform; Dynamic analysis; Reverse wavelet transform; Structural optimization

Indexed keywords

EARTHQUAKE EFFECTS; GENETIC ALGORITHMS; OPTIMIZATION; SIMULATED ANNEALING; STRUCTURAL LOADS; WAVELET TRANSFORMS;

DISCRETE WAVELET TRANSFORMS; OPTIMUM DESIGN; REVERSE WAVELET TRANSFORMS; TIME HISTORY ANALYSIS;

STRUCTURAL DESIGN;

DYNAMIC ANALYSIS; EARTHQUAKE RESPONSE; GENETIC ALGORITHM;

EID: 17344365612     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1279     Document Type: Article

References (19)

1. Salajegheh E. Approximate discrete variable optimization of frame structures with dual methods. International Journal for Numerical Methods in Engineering 1996; 39:1607-1617.
2. Salalegheh E. Discrete variable optimization of plate structures using dual methods. Computers and Structures 1996; 58:1131-1138.
3. Salajegheh E, Salajegheh J. Optimum design of structures with discrete variables using higher order approximation. Computer Methods in Applied Mechanics and Engineering 2002; 191:1395-1419.
4. Papadrakakis M, Lagaros ND. Advances in computational methods for large-scale structural optimization. Proceedings of Computational Mechanics for the Twenty-First Century. Saxe-Coburg Publications: Edinburgh, UK, 2000; 431-449.
5. Salajegheh E, Heidari A. Optimum design of structures against earthquake by an adaptive genetic algorithm using wavelet transform. The Ninth AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization. AIAA: Atlanta, GA, USA, 2002.
6. Vanderplaats GN. Numerical Optimization Techniques for Engineering Design: with Application. McGraw-Hill: New York, 1984.
7. Yang Y, Soh CK. Automated optimum design of structures using genetic programming. Computers and Structures 2002; 80: 1537-1546.
8. Hasancebi O, Erbatur F. Layout optimization of trusses using simulated annealing. Advances in Engineering Software 2002; 33: 681-696.
9. Mallat S. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Transactions on Pattern Analysis and Machine Intelligence 1989; 11: 674-693.
10. Daubechies I. Ten Lectures on Wavelets. CBMS-NSF Conference Series in Applied Mathematics, 1992.
11. Salajegheh E, Lotfi K. Optimum design of space structures by combining genetic algorithms and simulated annealing using a response surface approximation. Proceedings of the Fifth International Conference on Space Structures, vol. 1. Thomas Telford: U.K., 2002; 487-496.
12. Liu Y, Ma L, Zhang J. Reactive power optimization by GA/SA/TS combined algorithms. International Journal of Electrical Power and Energy Systems 2002; 24: 765-769.
13. Paz M. Structural Dynamics: Theory and Computation. McGraw-Hill: New York, 1997.
14. Polikar R. The wavelet tutorial. http://www.public.iastate.edu/~rpolikar/ WAVELETS/waveletindex.html, 1996.
15. Chen WK. The Circuits and Filters, Handbook. A CRC Handbook. IEEE: New York, 1995.
16. Daubechies I. The wavelet transform, time-frequency localization and signal analysis. IEEE Transactions on Information Theory 1990; 36: 961-1005.
17. Farge M. Wavelet transforms and their application to turbulence. Annual Review of Fluid Mechanics 1992; 24: 395-457.
18. Grossmann A, Morlet J. Decomposition of Hardy function into square integrable wavelets of constant shape. SIAM Journal on Mathematical Analysis 1984; 15: 723-736.
19. Torrence C, Compo GP. A practical guide to wavelet analysis. http:// paos.colorado.edu/research/wavelets/, 1998.