做平面运动滚子从动件盘形凸轮机构的深度广义第Ⅱ类综合问题  

General ClassⅡSynthesis of Disc Cam Mechanism with Roller Follower Moving in Planar General Motion

作　　者：常勇[1] 林荣富[1] 李延平[1] 

机构地区：[1]集美大学,厦门361021

出　　处：《中国机械工程》2014年第16期2149-2158,共10页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(51175224);福建省自然科学基金资助项目(2010J01302;2006J0169)

摘　　要：提出了"深度广义第Ⅱ类机构综合问题",拓展了机构综合的"对象空间"和"解集空间"。通过引入偏距e,得到求解的一整套解析公式和解存在性(态)的一系列解析判据。揭示了"脊点对"和"新脊线"的存在性及物理意义,给出了"谷底特征点"的求解方法,提出了"子劣解/子非劣解区域套"等新概念及解析表达式。选取机构图和坐标系为背景,构造面向"超二维第Ⅱ类机构综合问题"的离散曲线族——{C#2}em、{C#1}em、{C**}em以及r0min-e、r0max-e、r0opt-e、[α]**-e,提出了"全局最优解"的存在性和求解方法。通过两个综合实例论证了偏置式机构较正置式机构具有"你无我有、你有我优"的固有潜质和显著优越性。A problem of the deep general classⅡ synthesis was proposed,which expanded the＂object space＂and＂solution space＂of the mechanical synthesis.By introducing the offset e,a set of solving analytical formulas and a series of analytical criterion of the solution existence were obtained.The existence and physical meanings of a couple of ridge points and a new ridge were revealed,and the solving method of the＂bottom feature point＂was presented.The new concepts and analytic expressions of＂sub inferior solution/sub non-inferior solution＂were put forward.By selecting the mechanical figure and coordinate system as the background,the family of discrete curves facing＂super two-dimensional classⅡ synthesis problem＂—{C2^#}em,{C1^#}em,{C^＊＊}em,r0min-e,r0max-e,r0opt-e and [α]＊＊-e were constructed.The existence and solving method of the＂global optimal solution＂were proposed.Lastly,it is demonstrated that the offset mechanism has solutions while the non-offset mechanism does not have,the offset mechanism has the superior solutions while the non-offset mechanism has average solutions by presented two synthesis examples.

关 键 词：对象空间 解空间 二维 超二维 新脊线 劣解 非劣解区域套 离散曲线族 最优解 

分 类 号：TH112.2[机械工程—机械设计及理论]