Sensitivity analysis and optimal design of non-linear structures

Abstract

Sensitivity analysis for non-linear elastic structures in regular and critical states is ÿrst discussed including design parameters and initial imperfections. Next, the optimal design problem is formulated by considering imperfect structures and setting constraints on de ections and stresses. For structures with unstable postcritical response the limit load constraint is introduced in the optimization procedure. Several examples of truss optimization are provided. The level of initial imperfections can be regarded as design parameter and speciÿed from the optimal solution. ? 1998 John Wiley & Sons, Ltd.

Optimal stabilization of the post-buckling path for cylindrical shells under external pressure

“…Bochenek (1977Bochenek ( , 2001, Cardoso et al (1997), Perry and Gürdal (1995), Pietrzak (1996), Mróz and Piekarski (1998) *Corresponding author. Email: Jacek.Kruzelecki@pk.edu.pl and Suasa et al (1999) have all considered this type of problem.…”

Design sensitivity analysis of nonlinear structures subjected to thermal loads

“…It is also important to include the effects of load and geometry imperfections in the optimization model [5,6]. Generally, the presence of initial imperfections eliminates the bifurcation points, yielding either limit points for asymmetrical and unstable symmetric bifurcations or stable paths without critical points for stable-symmetric bifurcations [7].…”

“…Most of the previous works are focused on the uncoupled case [15,6]. On the other hand, this work focuses on the coupled case and the dependence of the temperature field on the design variables is accounted for.…”

Minimum weight design of non-linear elastic structures with prescribed buckling strength

“…Since, generally, the critical equilibrium states, lacking conditions of symmetry, are limit points, many of these works consider, in a theoretically consistent way, only this kind of simple critical state. In the works of Wu and Arora [1], Ohsaki and Nakamura [2], Oblak et al [3], Mroz and Piekarski [4], design sensitivity analysis of critical load factor requires the assumption that the critical point is a limit point.…”