Design/Control Optimization of Cross‐Ply Laminates Under Buckling and Vibration
Publication: Journal of Aerospace Engineering
Volume 5, Issue 1
Abstract
The optimal layer thicknesses and optimal feedback control function are determined for a symmetric, cross‐ply laminate. The objectives of the optimization are to maximize the biaxial buckling load (design objective) and to minimize the dynamic response to external disturbances (control objective) subject to a constraint on the expenditure of control energy. The design/control problem is formulated as a multiobjective optimization problem by employing a performance index that combines the design and control objectives in a weighted sum. Numerical results are given for a laminate made of an advanced composite material. Comparisons of controlled and uncontrolled laminates as well as optimally designed and nonoptimal laminates indicate the benefits of treating the design and control problems in unified formulation. The implications of solving these two problems are discussed. The values of optimal design and control variables are given for a number of problem parameters.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Adali, S. (1983). “Pareto optimal design of beams subjected to support motions.” Comput. Struct., 16(1–4), 297–303.
2.
Adali, S., Sadek, I. S., Sloss, J. M., and Bruch, Jr., J. C. (1988). “Distributed control of layered orthotropic plates with damping.” Optimal Control Applications and Methods, 9(1), 1–17.
3.
Bruch, Jr., J. C., Adali, S., Sloss, J. M., and Sadek, I. S. (1990). “Optimal design and control of a cross‐ply laminate for maximum frequency and minimum dynamic response.” Comput. Struct., 37(1), 87–94.
4.
Cha, J. Z., Pitarressi, J. M., and Soong, T. T. (1988). “Optimal design procedures for active structures.” J. Struct. Engrg., 114(12), 2710–2723.
5.
Grandhi, R. V. (1989). “Structural and control optimization of space structures.” Comput. Struct., 31(2), 139–150.
6.
Khot, N. S. (1988). “Structure/control optimization to improve the dynamic response of space structures.” Computational Mech., 3(3), 179–186.
7.
Komkov, V. (1983). “Simultaneous control and optimization for elastic systems.” Proc. of the Workshop on Applications of Distributed System Theory to the Control of Large Space Structures, G. Rodriguez, ed., Jet Propulsion Laboratory, NASA, 391–408.
8.
Leitmann, G., and Schmitendorf, W. E. (1973). “Some sufficiency conditions for Pareto optimal control.” J. Dyn. Systems, Measurements and Control, 95(4), 365–375.
9.
Mesquita, L., and Kamat, M. P. (1987). “Structural optimization for control of stiffened laminated composite structures.” J. Sound and Vibration, 116(1), 33–48.
10.
Miller, R. K., Maris, S. F., Dehghanyer, T. J., and Caughey, T. K. (1988). “Active vibration control of large civil structures.” J. Engrg. Mech., ASCE, 114(9), 1542–1570.
11.
Rao, S. S. (1988). “Combined structural and control optimization of flexible structures.” Engrg. Optimization, 13(1), 1–16.
12.
Rao, S. S. (1989). “Optimum design of structures under shock and vibration environment.” Shock and Vibration Digest, 21(2), 3–15.
13.
Rao, S. S., Venkayya, V. B., and Khot, N. S. (1988a). “Game theory approach for the integrated design of structures and controls.” AIAA J., 26(4), 463–469.
14.
Rao, S. S., Venkayya, V. B., and Khot, N. S. (1988b). “Optimization of actively controlled structures using goal programming techniques.” Int. J. Numerical Methods in Engrg., 26(1), 183–197.
15.
Reinhorn, A. M., and Manolis, G. D. (1989). “Recent advances in structural control.” Shock and Vibration Digest, 21(1), 3–8.
16.
Salama, M., Garba, J., Demetz, L., and Udwadia, F. (1988). “Simultaneous optimization of controlled structures.” Computational Mech., 3(4), 275–282.
17.
Venkayya, V. B., and Tischler, V. A. (1985). “Frequency control and its effect on the dynamic response of flexible structures.” AIAA J., 23(11), 1768–1774.
18.
Yang, J. N., and Soong, T. T. (1988). “Recent advances in active control of civil engineering structures.” Probabilistic Engrg. Mech., 3(4), 179–188.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 5 • Issue 1 • January 1992
Pages: 127 - 137
Copyright
Copyright © 1992 ASCE.
History
Published online: Jan 1, 1992
Published in print: Jan 1992
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.