浮动平底推杆-盘形凸轮组合机构的第Ⅰ类机构综合问题

ClassⅠ Synthesis of Cam Mechanism with Floating Flat Faced Pushrod

提出"预设凸轮轴心O1+等距/网格/离散化+校核+取舍"的新型求解策略和路线,通过建立"固定、浮动坐标系"并引入"支撑函数法"、"瞬时区域套"、"经济搜索区域"及"等距/网格/离散化"等概念和方法,研究了满足ρ>0、α≤[α]∩α≤[α]r和ρ>0、α≤[α]∩α≤[α]r等单纯或组合条件下凸轮轴心O1的求解原理、解析表达、"位置区域Πρ、Π[α]和Πρ∩[α]"及其形态特征,提出了搜索求解的思路和方法,推导出了平底工作段及其长度、总长度的求解确定方法,揭示出"位置区域Π[α]和Πρ∩[α]"的"类等腰三角形"、"收缩聚敛性"、"脊点O*1/脊线{O*1}存在性"和"最优脊点O**1存在性"等规律特性,得到"凸轮轴心O1优选(非劣)解集"、"最优凸轮轴心O*1opt和O**opt"等重要的关键性结论,较圆满地解决了浮动平底推杆-盘形凸轮组合机构的第Ⅰ类机构综合问题。

A new solution strategy of “preset cam axis O1 ＋equidistant/grid/discretization＋check＋selection”was proposed.By building “fixed and floating coordinate system”and introducing the concepts of：support function,instantaneous area set and economic searching area,the method for solving the cam axis satisfying the following single or all conditions：ρ〉0,α≤[α]∩α≤[α]r andρ〉0∩α≤[α]∩α≤[α]r ,the position area and the morphological characteristics of cam axis were de-scribed.Furthermore,the method for searching the flat＇s working length and length were obtained. The results show that the the position area has some characteristics as following：it is like a isosceles triangle with contraction convergent;it exists ridge point O＊1 ,ridge line {O＊1 },and a optimal ridge point O＊＊1 .Lastly,the optimization（non inferior）solution set of cam axis and the optimal cam axis are achieved.The problem of class Ⅰ synthesis of cam mechanism with floating flat faced pushrod are solved successfully and satisfactory.