Dimensional Synthesis of a 4-DOF Hybrid Driving Platform

A novel 4-DOF hybrid driving platform of flight simulator is presented. Its main load born by a PU limb which composed of pneumatic support unit, so the driving force, the safety and the simulation performance are all improved. The simulation performance is proposed to be taken as the evaluating index. Dimensional optimization of the driving platform is studied with the aid of the characteristics of Rayleigh quotient and vector. The influence law of scale parameters to simulation performance and constraints is discussed through monotonic analysis and it is adopted to seek the optimal solution of the simulation performance. The effectiveness of the method is proved by the example.

σ-porosity in monotonic analysis with applications to optimization

We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decreasing functions, and conormal (upward) sets. We prove that the complements of the subset of strictly increasing IPH functions, of the subset of strictly decreasing functions, and of the subset of strictly conormal sets areσ-porous in corresponding spaces. Some applications to optimization are given.