Abstract
The optimal prestress reinforcement of civil engineering structures is studied here. A modal analysis framework, which is widely adopted for the dynamic, aseismic design, is assumed. The prestress action is modelled by means of induced temperature fields in the prestress cables, an option which facilitates the numerical treatment by means of general purpose finite element software. The optimal choice and the optimal placement of the tendons are treated by a ground (sub) structure technique. The proposed method is illustrated by means of numerical examples.
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References
Cinquini, C.; Rovati, M. 1995: Optimization methods in (structural) engineering.Eur. J. Mech., A/Solids 14, 413–437
Clough, R. W.; Penzien, J. 1975:Dynamics of structures. New York: McGraw-Hill
Dems, K.; Gutkowski, W. 1995: Optimal design of a truss configuration under multiloading conditions.Struct. Optim. 9, 262–265
Dorn, W.S.; Gomory, R.E.; Greenberg, H.J. 1964: Automatic design of optimal structures.J. de Méchanique 3, 25–52
Fischer, L.; Berling 1991: Resumee zu den Überlagerungsbeziehungen der Antwortspektrenmethode. Lastfall Erdbeben.Bauingenieur 66, 335–343
Hiriart-Urruty, J.-B.; Lemaréchal, C. 1993:Convex analysis and minimization algorithms I. Berlin, Heidelberg, New York: Springer
Holnicki-Szulc, J.; Gierlinski, J.T. 1995:Structural analysis, design and control by the vitual distortion method. Chichester: John Wiley & Sons
Hörnlein, H.R.E.M. 1993: Structural optimization, a survey. In: Hörnlein, H.R.E.M.; Schittkowski, K. (eds.)Software systems for structural optimization, pp. 1–32. Basel: Birkhäuser
Kirsch, U. 1993:Structural optimization. Berlin, Heidelberg, New York: Springer
Kirsch, U. 1995: Layout optimization using reduction and expansion processes. In: Olhoff, N.; Rozvany, G.I.N. (eds.)WCSMO-1, First World Congress of Structural and Multidisciplinary Optimization, pp. 95–102, Oxford. Pergamon
Kirsch, U.; Rozvany, G.I.N. 1994: Alternative formulations of structural optimization.Struct. Optim. 7, 32–41
Kocvara, M.; Zowe, J. 1995: How to optimize mechanical structures simultaneously with respect to topology and geometry. In: Olhoff N.; Rozvany, G.I.N. (eds.)WCSMO-1, First World Congress of Structural and Multidisciplinary Optimization, pp. 135–140. Oxford: Pergamon
Mollenhauer, D.H.; Tompson, D.M.; Griffin, O.H., Jr. 1993: Finite element analysis of smart structures.Advances in Engineering Software 17, 7–12
Moore, G.J. 1994: Design sensitivity and optimization, MSC/NASTRAN, user's guide.
Przemieniecki, J.S. 1968:Theory of matrix structural analysis. New York: McGraw Hill
Rozvany, G.I.N. 1989:Structural, design via optimality criteria. Dordrecht: Kluwer
Stavroulaki, M.E. 1996:Optimal design methods for restoration and strengthening of structures. Application on prestressing. Doctoral Dissertation, Department of Engineering Sciences, Technical University of Crete
Stavroulaki, M.E.; Leftheris, B.P. 1995: Application of response spectrum analysis in historical buildings. In: Brebbia, C.; Leftheris, B.P. (eds.)STREMA 95, Structural Studies of Historical Buildings IV. Vol. 2, pp. 93–100, Boston: Computational Mechanics Publications
Stavroulaki, M.E.; Stavroulakis, G.E.; Leftheris, B.P. 1996: Modelling prestress restoration of buildings by general purpose structural analysis and optimization software. The optimization module of MSC/NASTRAN.Comp. & Struct. (in press)
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Stavroulaki, M.E., Leftheris, B.P. & Stavroulakis, G.E. Optimal prestress in modal analysis via induced temperature modelling. Structural Optimization 13, 95–103 (1997). https://doi.org/10.1007/BF01199227
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DOI: https://doi.org/10.1007/BF01199227