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Optimal design of structures with variable support conditions

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Abstract

The conditions for optimal location of supports are derived for the case of elastic design for specified mean compliance and plastic design for given safety factor of plastic collapse. The optimal design problem is next formulated including position-dependent cost of support into the design procedure. Both rigid and flexible or yielding supports are considered.

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References

  1. Marçal, P. V., andPrager, W.,A Method of Optimal Plastic Design, Journal de Mécanique, Vol. 3, No. 1, 1964.

  2. Prager, W., andShield, R. T.,General Theory of Optimal Plastic Design, Journal of Applied Mechanics, Proceedings of the ASME, Vol. 34, No. 1, 1967.

  3. Rozvany, G. I. N.,Optimal Plastic Design of Partially Preassigned Strength Distribution, Journal of Optimization Theory and Application, Vol. 11, No. 4, 1973.

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Dedicated to Professor W. Prager

The present paper was written when Dr. Rozvany was a Visiting Professor at the Institute of Fundamental Technological Research, Warsaw, Poland.

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Mróz, Z., Rozvany, G.I.N. Optimal design of structures with variable support conditions. J Optim Theory Appl 15, 85–101 (1975). https://doi.org/10.1007/BF00933023

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  • DOI: https://doi.org/10.1007/BF00933023

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