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A new feasible directions method in nonlinear optimization

  • Chapter
Residual Stress in Rails

Part of the book series: Engineering Applications of Fracture Mechanics ((EAFM,volume 12-13))

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Abstract

In each of the mechanical and discrete numerical models presented in the preceding chapters, the solution of a large nonlinear constrained optimization problem is required in order to evaluaute the actual residual stresses in body.

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References

  1. G. Zoutendijk, Methods of Feasible Directions, Elsevier, Amsterdam, 1960.

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  2. G.N. Vanderplaats, Numerical Optimization Techniques for EngineenngDesign with Applications, McGraw-Hill, New York, 1984.

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  3. D.A. Wismer and R. Chattergy, Introduction to Nonlinear Optimization, North Holland Publishing Company, Amsterdam, 1978.

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  4. J. Orkisz, “A new feasible directions algorithm for effective solution of constrained optimization problem”, Proc. 8th International Conference on Structural Mechanics in Reactor Technology, Brussels, 1985.

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  5. J. Orkisz, “A method of solution of nonlinear constrained optimization problems”, Proc. 1st World Congress on Computational Mechanics, Austin, TX, 1986.

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  6. J. Orkisz and M. Pazdanowski, “A new version of the feasible directions method in nonlinear optimization”, Proc. IX Conference MKMK, Cracow, 1989 (in Polish).

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  7. G.N. Vanderplaats, “ADS — a FORTRAN program for automated design synthesis”, Naval Postgraduate School, Monterey, CA, 1984.

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  8. J. Orkisz, O. Orringer, M. Hołowiński, M. Pazdanowski, and W. Cecot, “Discrete analysis of actual residual stresses resulting from cyclic loadings”, Computers & Structures 35(4), 397–412 (1990).

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Authors
  1. J. Orkisz
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  2. M. Pazdanowski
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Editor information

Editors and Affiliations

  1. U.S. Department of Transportation, Cambridge, USA

    Oscar Orringer

  2. Cracow Institute of Technology, Cracow, Poland

    Janusz Orkisz

  3. Central Research Institute of the Polish State Railways, Warsaw, Poland

    Zdzisław Świderski

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© 1992 Springer Science+Business Media Dordrecht

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Orkisz, J., Pazdanowski, M. (1992). A new feasible directions method in nonlinear optimization. In: Orringer, O., Orkisz, J., Świderski, Z. (eds) Residual Stress in Rails. Engineering Applications of Fracture Mechanics, vol 12-13. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1787-6_10

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