Study on the Parametric of Polynomial Motion Law of the Symmetrical Cam Follower Lifting Profile

Wang Huining; Xu Fang; Zhou Zhigang

doi:10.16578/j.issn.1004.2539.2016.08.021

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Study on the Parametric of Polynomial Motion Law of the Symmetrical Cam Follower Lifting Profile

更新时间：2022-10-20

- Study on the Parametric of Polynomial Motion Law of the Symmetrical Cam Follower Lifting Profile
- Vol. 40, Issue 8, Pages: 94-97(2016)
- 作者机构：
  
  1. 河南科技大学车辆与交通工程学院
  2. 河南科技大学机电工程学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2016.08.021
  CLC：
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[1]王惠宁,徐芳,周志刚.对称性凸轮机构从动件升程廓线多项式运动规律的参数化研究[J].机械传动,2016,40(08):94-97+125.

Wang Huining, Xu Fang, Zhou Zhigang. Study on the Parametric of Polynomial Motion Law of the Symmetrical Cam Follower Lifting Profile. [J]. 40(8):94-97(2016)
[1]王惠宁,徐芳,周志刚.对称性凸轮机构从动件升程廓线多项式运动规律的参数化研究[J].机械传动,2016,40(08):94-97+125. DOI： 10.16578/j.issn.1004.2539.2016.08.021.

Wang Huining, Xu Fang, Zhou Zhigang. Study on the Parametric of Polynomial Motion Law of the Symmetrical Cam Follower Lifting Profile. [J]. 40(8):94-97(2016) DOI： 10.16578/j.issn.1004.2539.2016.08.021.

摘要

针对仅考虑边界条件的传统多项式运动规律的最大类速度和最大类加速度偏大的问题,通过研究具有最小加速度的凸轮类位移曲线、一次映射类速度图及二次映射类加速度图,把凸轮机构从动件升程廓线分为两段单凸的样条曲线,在样条边界点上找出影响加速度曲线的敏感参数,并在样条曲线上找到一个控制加速度曲线的敏感控制点,采用数形结合的方法建立对称性凸轮机构从动件升程廓线多项式运动规律参数化模型。通过该模型能获得不同条件下的最优标准位移方程,并以此作为凸轮从动件升程运动规律曲线,设计者只需要根据确定的推程角和升程,便可方便的设计出满足从动件升程加速度最小的凸轮廓线。

Abstract

Aiming at the problem of the largest quasi- velocity and quasi- acceleration of the polynomial motion law of only considering the boundary conditions,the lift profile of the cam follower is divided into two single convex spline curve,the sensitive parameters that affects the acceleration curve and the control point that can control the acceleration curve in the spline boundary point are found by studying the quasi- displacement curve,the one mapping quasi- velocity graph and the quadratic mapping quasi- acceleration graph. The method of symbolic- graphic combination are used to establish the parametric model of polynomial motion law of the lift profile of the symmetrical cam follower and the optimal standard displacement equation are obtained in different conditions by this model. Taking the optimal standard displacement equation as the motion law of the cam follower lift curve,the designers can obtain the cam curve meeting the requirement of minimum lift acceleration of follower in the condition of just knowing the pushing angle and lift range.

关键词

凸轮廓线位移曲线运动规律参数化设计

Keywords

Cam profileDisplacement curveMotion lawParametric design

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