Research and Motion Analysis of Multi-Object Compact Layout Based on CPR in 2D

Compact layout is a problem widely faced in many branches of science, engineering, is also the key point in lightweight design of product. With the perspective of digital design we divided the layout procedure into three stages-only outers, outer-inner, more objects involved-based on (convex hull plus rubber band) CPR. Motion analysis in each stage is done respectively according to physics principles. Rules of Multi-Object collision response are built in two forms, vertex-edge and edge-edge. Objects motions are determined by their motion analysis and collision response rules. An example of Multi-Object compact layout in stimulation platform is given and feasibility of the method is confirmed.