Abstract
The objective of this work is to demonstrate the generalized compound scaling algorithm in the design of plate structures with frequency constraints. The robustness of the algorithm is demonstrated on large scale problems using scaling technique alone. This paper presents the optimization algorithm, numerical results and discussions. Design histories and the first few frequencies at the initial and optimum condition are also included.
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References
Armand, J.L. 1971: Minimum-mass design of plate-like structures for specified fundamental frequency.AIAA J. 9, 1739–1745
Belytschko, T.; Tsay, C.S. 1983: A stabilization procedure for quadrilateral plate element with one-point quadrature.Int. J. Num. Mech. Eng. 19, 405–419
Brockman, R.A.; Lung F.Y.; Braisted, W.R. 1989: Probabilistic finite element analysis of dynamic structural response.Wright Patterson Air Force Base, Technical Report, AFWAL-TR-88-2149
DeSilva, B.M.E. 1972: Optimal vibrational modes of a disc.J. Sound and Vibration 21, 19–34
Foley, M.H. 1978: A minimum mass square plate with fixed fundamental frequency of free vibration.AIAA J. 16, 1001–1004
Grandhi, R.V., Venugopal, N.S.; Venkayya, V.B. 1991: Optimality criteria method for minimum weight design plate structures.Proc. 32nd AIAA/ASME/ASCE/AHS/ASC Struct., Struct. Dynamics and Material Conf. (held in Baltimore, MD), Part 1, AIAA-91-0923, 213–226
Haftka, R.T.; Prasad, P. 1981: Optimum structural design with plate bending elements — a survey.AIAA J. 19, 517–522
Haug, E.J., Jr.; Pan, K.C.; Streeter, T.D. 1972: A computational method for optimal structural design: I. Piecewise uniform structures.Int. J. Num. Methods Eng. 5, 171–184
Haug, E.J., Jr.; Pan, K.C.; Streeter, T.D. 1975: A computational method for optimal structural design: II. Continuous problems.Int. J. Num. Methods Eng. 9, 649–667
Kamat, M.P. 1973: Optimal fundamental frequencies of thin rectangular plates.Recent Advances in Eng. 9, 101–108
Leal, R.P.; Mota Soares, C.A. 1989: Mixed elements in the optimal design of plates.Struct. Optim. 1, 127–136
Olhoff, N. 1974: Optimal design of vibrating circular plates.Int. J. Solids Struct. 6, 139–156
Prasad, B.; Haftka, R.T. 1979: Optimum structural design with plate bending finite elements.ASCE J. Struct. Div. 105, 2367–2382
Rozvany, G.I.N.; Olhoff, N.; Cheng, K.T.; Taylor, J.E. 1982: On the solid plate paradox in structural optimization.J. Struct. Mech. 10, 1–32
Seiranyan, A.P. 1978: A study of an extremum in the optimal problem of a vibrating circular plate.Mech. Solids 13, 99–194
Venkayya, V.B. 1991: Design optimization in dynamic environment.Int. Conf. on Recent Advances in Struct. Dynamics (held in Southhampton, England, July)
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Grandhi, R.V., Bharatram, G. & Venkayya, V.B. Optimum design of plate structures with multiple frequency constraints. Structural Optimization 5, 100–107 (1992). https://doi.org/10.1007/BF01744702
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DOI: https://doi.org/10.1007/BF01744702