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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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
- Structural optimization
- engineering design
- optimality conditions
- calculus of variations
- structural mechanics