Institute of Fundamental Technological Research
Polish Academy of Sciences

Partners

G.I.N. Rozvany

Recent publications

Rozvany G.I.N.^♦, Mróz Z., Column Design: Optimization of Support Conditions and Segmentation, Journal of Structural Mechanics, ISSN: 1539-7734, DOI: 10.1080/03601217708907315, Vol.5, No.3, pp.279-290, 1977

Abstract:
A general variational formulation of the optimal column problem in which the column shape is either prescribed over given segments or can be varied continuously is outlined. Necessary conditions are derived for the optimal location of segment boundaries and internal supports. Most previously published optimality criteria are shown to be special cases of the general conditions presented. The proposed theory is illustrated with examples.

Affiliations:

Rozvany G.I.N.	-	other affiliation
Mróz Z.	-	IPPT PAN

Mróz Z., Rozvany G.I.N.^♦, Optimal design of structures with variable support conditions, Journal of Optimization Theory and Applications, ISSN: 0022-3239, DOI: 10.1007/BF00933023, Vol.15, No.1, pp.85-101, 1975

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.

Keywords:
Structural optimization, engineering design, optimality conditions, calculus of variations, structural mechanics

Affiliations: