Design optimization of multibody systems by sequential approximation

Abstract. Design optimization of multibody systems is usually established by a direct coupling of multibody system analysis and mathematical programming algorithms. However, a direct coupling is hindered by the transient and computationally complex behavior of many multibody systems. In structural optimization often approximation concepts are used instead to interface numerical analysis and optimization. This paper shows that such an approach is valuable for the optimization of multibody systems as well. A design optimization tool has been developed for multibody systems that generates a sequence of approximate optimization problems. The approach is illustrated by three examples: an impact absorber, a slider-crank mechanism, and a stress-constrained four-bar mechanism. Furthermore, the consequences for an accurate and efficient accompanying design sensitivity analysis are discussed

Optimization of multibody systems using sequential linear programming

Abstract Design optimization is far less developed for multibody analysis than for structural analysis. However, multibody design problems can be solved by optimization strategies applied in structural analysis. To illustrate this, a design optimization tool has been developed for a multibody analysis software package. It is based on a linear approximation concept. An optimization process results that consists of a sequence of linear programming problems. The design optimization tool has been successfully tested for three multibody design examples