Browse > Article
http://dx.doi.org/10.12989/sem.2002.13.5.479

Structural dynamic optimization with probability constraints of frequency and mode  

Chen, Jian-Jun (Department of Electronic Mechanical Engineering, Xidian University)
Che, Jian-Wen (Department of Electronic Mechanical Engineering, Xidian University)
Sun, Huai-An (Department of Electronic Mechanical Engineering, Xidian University)
Ma, Hong-Bo (Department of Electronic Mechanical Engineering, Xidian University)
Cui, Ming-Tao (Department of Electronic Mechanical Engineering, Xidian University)
Publication Information
Structural Engineering and Mechanics / v.13, no.5, 2002 , pp. 479-490 More about this Journal
Abstract
The structural dynamic optimization problem based on probability is studied. Considering the randomness of structural physical parameters and the given constraint values, we develop a dynamic optimization mathematical model of engineering structures with the probability constraints of frequency, forbidden frequency domain and the vibration mode. The sensitivity of structural dynamic characteristics based on probability is derived. Two examples illustrate that the optimization model and the method applied are rational and efficient.
Keywords
engineering structures; dynamic characteristics; frequency and mode; probability constraints; dynamic sensitivity; optimization design;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
연도 인용수 순위
1 Chen, H.H. and Zhou, C.R. (1996), "Structural design subjected to multiple frequencies positions of nodal lines& other constraints", Chinese J. Appl. Mech., 13(1), 59-63.
2 Lin, J.H. (1981), "Optimum structure design with frequency forbidden domain constraints", J. Dalian IndustryInstitute, 20(1), 27-36.
3 Wang, S.H. (1982), "Structural optimization with frequency constraints", Acta Mechanica Solida Sinica, 2(2),165-175.
4 Xiang, J.W., Zhang, C.L., Zhou, C.R. and Zhang, A.Z. (1995), "Structural dynamics optimum design with givenfrequency and position of mode shape node line", Comput. Struct. Mech. & Appl., 12(4), 401-407.
5 Feng, K. (1978), Numerical Method, Chinese National Defense Industry Press.
6 Ramana, G. (1993), "Structural optimization with frequency constraints-a review", AIAA J., 31(12), 2296-2303.   DOI   ScienceOn
7 Chen, J.F. (1987), "Optimum structure design with given frequency and position on modal node", Comput. Struct. Mech. & Appl., 4(2), 88-94.
8 Chen, J.J. and Cei, J.W. (2000), "Optimum design based on probability for dynamic characteristics ofengineering structures", Chinese J. Appl. Mech., 17(2), 30-35.
9 Nelson, R.B. (1974), "Simplified calculation of eigenvector derivatives", AIAA J., 14(9), 1201-1205.   DOI   ScienceOn
10 Zarghamee, M.S. (1968), "Optimum frequency of structures", AIAA J., 6(6), 749-750.   DOI
11 Czyz, J.A. and Lukasiewicz, S.A. (1998), "Multimodal optimization of space frames for maximum frequency",Comput. & Struct., 66(2-3), 187-199.   DOI   ScienceOn
12 Chen, J.J. and Duan, B.Y. (1999), in: Reliability & Damage Tolerance, Gordon & Breach Press.