Optimal shakedown design of plates

Abstract

In this paper the optimal shakedown of perfectly elastic-plastic bending metallic plates with strength and stiffness constraints are considered. The geometry of the plate and its acting variable repeated load are known. Here optimal distribution of limit bending moments or charac-teristic dimension of cross-section for adapted bending plate is to be found. In the paper a new iterative approxi-mate solution algorithm based on Rosen project gradient is proposed for optimal shakedown design of the plates. While solving the static formulation of the analysis prob-lem their dual (kinematic formulation) solution is deter-mined by using the Rosen criterion mathematical-mechanical interpretation, which is explained before by the authors. The solution algorithm is illustrated by the nu-merical example of optimal project calculation of circular plate. The investigations are performed and results of nu-merical experiments are obtained according to assumptions of small displacements.