浮动平底推杆-盘形凸轮组合机构的第Ⅰ类机构综合问题

中国机械工程 ›› 2015, Vol. 26 ›› Issue (12): 1584-1595.

浮动平底推杆-盘形凸轮组合机构的第Ⅰ类机构综合问题

常勇;林荣富;李延平

集美大学,厦门,361021

出版日期:2015-06-25 发布日期:2015-06-29
基金资助:
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)
National Natural Science Foundation of China（No. 51175224）;

Fujian Provincial Natural Science Foundation of China（No. 2010J01302,2006J0169）

Class Ⅰ Synthesis of Cam Mechanism with Floating Flat Faced Pushrod

Chang Yong;Lin Rongfu;Li Yanping

Jimei University,Xiamen,Fujian,361021

Online:2015-06-25 Published:2015-06-29
Supported by:

National Natural Science Foundation of China（No. 51175224）;

Fujian Provincial Natural Science Foundation of China
（No. 2010J01302,2006J0169）

摘要/Abstract

摘要：

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。

关键词: 等距/网格/离散化, 浮动坐标系, 支撑函数, 瞬时区域套, 经济搜索区域, 脊点/脊线

Abstract:

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 described.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 pointO*1,ridge line {O*1},and a optimal ridge pointO**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.

Key words: equidistant/grid/discretization;floating coordinate , system;support , function;instantaneous , area , set;economic searching area;ridge point/ridge line

中图分类号:

TH112.2

常勇;林荣富;李延平. 浮动平底推杆-盘形凸轮组合机构的第Ⅰ类机构综合问题[J]. 中国机械工程, 2015, 26(12): 1584-1595.

Chang Yong;Lin Rongfu;Li Yanping. Class Ⅰ Synthesis of Cam Mechanism with Floating Flat Faced Pushrod[J]. China Mechanical Engineering, 2015, 26(12): 1584-1595.

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