基于凸壳+橡皮筋模拟的2D布局物理运动分析  

Physical Movement Analysis of 2D Layout Design System based on Convex Hull plus Rubber Band Analog

作　　者：鲁娟[1,2] 龙凤英[3] 潘宇晨 薛斌 廖小平[2] 夏薇[2] 

机构地区：[1]广西高校临海机械装备设计制造及控制重点实验室培育基地,广西钦州535000 [2]广西大学机械工程学院,南宁535004 [3]广西大学电气工程学院,南宁530004

出　　处：《机械设计与研究》2015年第2期89-92,共4页Machine Design And Research

基　　金：广西高校临海机械装备设计制造及控制实验室培育基地全任译题基金资助项目(GXLH2014ZD-06);国家自然科学基金资助项目(51265002);钦州学院校级项目(2014XJKY-21B)

摘　　要：产品布局设计抽象成凸壳+橡皮筋模拟布局模式,建立出布局优化模型是一个创新的物理学设计方法。本文提出的物理学模型是采用基于遵循牛顿第二定律研究模型碰撞前后的物体受力情况以及运动过程。通过运用复数矢量法求解其碰撞前后力、力矩和运动计算,采用判定矩阵方法分析确定布局过程中基于节拍的物体运动状态以及碰撞干涉关系与状态,进而分析和确定模型包含物体受力移动、与毗邻物体碰撞后的旋转和滑移的运动过程,为凸壳+橡皮筋模拟的紧凑布局优化模型运动过程的数字化设计提供了可行的解决方法。For product layout design,abstracting it to a convex hull plus rubber band analogy layout pattern and establishing the layout optimization model is a innovative physics-based design method. This work rendered a physicsbased model based on Newton＇s second law to research the force analysis and the movement process of objects before and after the collision to find the movement regulation. A complex vector method is utilized to solve the force,the moment of force,and movement compute before and after the collision. To ascertain the condition of motion,intersection detection and state,a judge matrix method is adopted to analyses the layout process based on pitch time.And then to determine the translation under the force,rotating and sliding after collided with adjacent one are included in model. This is an effective solution for packing layout design model to the movement process based on convex hull plus rubber band analogy.

关 键 词：橡皮筋模拟 受力分析 物理运动过程 

分 类 号：TH122[机械工程—机械设计及理论]