Abstract
After outlining current difficulties in structural optimization and a way of overcoming them by employing optimality criteria and layout theory, the above concepts are discussed in greater detail and illustrated by simple examples. Finally, a brief review of recent developments in these fields is presented.
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References
M. Save and W. Prager, Structural Optimization I - Optimality Criteria, Plenum Press, New York, 1985.
G.I.N. Rozvany, ‘Structural Layout Theory — The Present State of Knowledge’, Chapt. 7 in E. Atrek, R.H. Gallagher et al. (Eds.), Optimum Structural Design, John Wiley & Sons, Chichester, 1984, pp. 167–196.
G.I.N. Rozvany and T.G. Ong, ‘Optimal Plastic Design of Plates, Shells and Shellgrids’, in L. Bevilacqua, R. Feijóo et al. (Eds.), Inelastic Behaviour of Plates and Shells, Proc. IUTAM Symposium in Rio de Janeiro, 1985, Springer-Verlag, Berlin, 1986, pp. 357–384.
G.I.N. Rozvany and T.G. Ong, ‘Minimum-Weight Plate Design via Prager’s Layout Theory’, in C.A. Mota Soares (Ed.), Computer-Aided Optimal Design: Structural and Mechancial Systems, Proc. NATO ASI in Troia, 1986, Springer-Verlag, Berlin, 1987, pp. 165–180.
G.I.N. Rozvany, Optimal Design of Flexural Systems, Pregamon Press, Oxford, 1976; Russian version: Stroiizdat, Moscow, 1980.
G.I.N. Rozvany, Optimality Criteria for Grids, Shells and Arches, in E.J. Haug and J. Cea (Eds.), Optimization of Distributed Parameter Problems, Sijhoff and Noordhoff, Alphen aan den Rijn, 1981, pp. 112–151.
R.V. Kohn and G. Strang, ‘Optimal Design for Torsional Rigidity, in S.N. Atluri & R.H. Gallagher (Eds.), Hybrid and Mixed Finite Element Methods, Proc. Conf. in Atlanta, 1981, John Wiley & Sons, Chichester, 1983, pp. 281–288.
Cheng, K.-T. and N. Olhoff, ‘An Investigation Concerning Optimal Design of Solid Elastic Plates, Int. J. Solids Struct. 17, 3, 305–323, 1981.
W. Prager and R.T. Shield, ‘A General Theory of Optimal Plastic Design’, J. Appl. Mech. 34, 1, 184–186, 1967.
G.I.N. Rozvany, ‘Variational Methods and Optimality Criteria’, in E.J. Haug and J. Cea (Eds.), Optimization of Distributed Parameter Problems, Sijhoff and Noordhoff, Alphen aan den Rijn, 1981, pp. 82–111.
G.I.N. Rozvany, Structural Design via Optimality Criteria, Kluwer Academic Publishers, Dordrecht, 1988.
G.I.N. Rozvany, ‘Plastic vs. Elastic Optimal Strength Design’, J. Engrg. Mech. ASCE, 103, EM1, 1977, 210–214.
G.I.N. Rozvany, ‘Optimal Plastic Design: Allowance for Selfweight’, J. Engrg. Mech. ASCE, 103, EM6, 1977, 1165–1170.
W. Prager and J.E. Taylor, ‘Problems of Optimal Structural Design’, J. Appl. Mech., 35, 1, 102–106, 1968.
R. de Boer, ‘Optimierung von Stabschwingern mit dünnwandigem Querschnitt’, Der Stahlbau, 8, 1972, 245–249.
G.I.N. Rozvany, T.G. Ong, W.T. Szeto, R. Sandler, N. OlhofF and M.P. Bendsøe, ‘Least-Weight Design of Perforated Elastic Plates I and II’, Int. J. Solids Struct. 23, 4, 1987, 521–550.
K.A. Lurie, A.V. Cherkaev and A.V. Fedorov, ‘Regularization of Optimal Design Problems for Bars and Plates’, J. Optimiz. Theory Appl, 37, 4, 499–543.
R.V. Kohn and G. Strang, ‘Optimal Design and Relaxation of Variational Problems’, Comm. Pure Appl. Math, 39, 113–182, 353–377.
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Rozvany, G.I.N. (1988). Optimality Criteria and Layout Theory in Structural Design: Recent Developments and Applications. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_34
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DOI: https://doi.org/10.1007/978-94-009-1413-1_34
Publisher Name: Springer, Dordrecht
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