Nonlinear programming and optimal shakedown design of frames

Abstract

This paper consider matematical programming theory, which is widely used as a method of extremum problems solution. It helps for the investigation of shake-down problems from creating of it's mathematical models till receiving numerical solution results. Common mathe-matical models of optimization are adapted to find optimal parameters or load distribution of elastic perfectly-plastic shakedown frames. Rosen project gradient method is ap-plied to solve the problems. Mechanical interpretation of optimality criterion is presented for the mentioned method. Numerical results of frame optimization problems are re-ceived with small displacements assumption.