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Optimal design of rigid-plastic beams subjected to dynamical loading

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Abstract

In the present paper the optimization problem of dynamically loaded simply supported beams is handled. The concept of a rigid-plastic body is used. The shape of the beam is sought, for which the integral residual deflection for a given time-instant and load is minimal. Two numerical methods for solving the problem are proposed. The numerical results are compared with those obtained by Lepik (1982).

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References

  • Bittner, L. 1976: Necessary optimality conditions for a model of optimal control processes.Banach Center Publ. 1, Warszawa, 25–32

    Google Scholar 

  • Boltjanski, W.G. 1971:Mathematische Methoden der optimalen Steuerung. Leipzig

  • Erkhov, M.I. 1978:Theory of perfectly plastic bodies and structures (in Russian). Moscow: Nauka

    Google Scholar 

  • Jänsch, C.; Well, K. 1995: GESOP—Eine Software Umgebung zur Simulation und Optimierung. In:Optimalsteuerungsprobleme von Hyperschallflugzeugen (Proc. SFB 255, Workshop)

  • Lepik, Ü. 1982:Optimal design of inelastic structures under dynamic loading(in Russian) Tallinn: Valgus

    Google Scholar 

  • Schittkowski, K. 1985: NLPQL: A FORTRAN subroutine for solving constrained nonlinear programming problems.Ann. Oper. Res. 5 485–500

    Google Scholar 

  • Schmidt, W.H. 1988:Optimalitätsbedingungen für verschiedene Aufgaben von Integralprozessen in Banachräumen das Iterationsverfahren von Charnousko. Dissertation B, Greifswald

  • Schnepper, K. 1995: PROMIS Software user manual.Technical Report IFR TR 95-01.0, Universität Stuttgart, Institut für Flugmechanik

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Lepikult, T., Schmidt, W.H. & Werner, H. Optimal design of rigid-plastic beams subjected to dynamical loading. Structural Optimization 18, 116–125 (1999). https://doi.org/10.1007/BF01195986

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