平面四杆机构连杆上二类点的轨迹特征与虚拟实验  

Locus Feature and Virtual Experiment on Two Types of Points on Link of Planar Four-bar Mechanism

作　　者：王洪欣[1] 李允旺[1] 田丰[1] 

机构地区：[1]中国矿业大学机电工程学院,江苏徐州221116

出　　处：《实验室研究与探索》2016年第11期81-84,共4页Research and Exploration In Laboratory

基　　金：江苏高校优势学科建设工程资助项目;中国矿业大学教改项目(2014QN08)

摘　　要：平面四杆机构的连杆曲线上存在包含尖点与拐点的连杆曲线,在尖点处的两枝曲线在该点具有一条公共切线,可用于动点速度瞬时反向的机构设计;曲线在拐点处的曲率为零,同时法向加速度也为零,可用于动点具有一段近似直线轨迹的机构设计,但包含尖点与拐点的连杆曲线只有动画或动点坐标数组生成的曲线才能展示出来。通过建立平面四杆机构以及其他机构中连杆上这二类点的数学方程与动画制作,展示了这些机构的尺寸关系与连杆曲线,作为虚拟实验项目,实现了机构设计理论与实验教学的有机结合,既激发了学生做机械原理课程实验的积极性,也培养了学生计算机编程的能力。The link curves contained pointed points and inflexions exist in the link curves of a planar four-bar mechanism. Two curves at the pointed point have a common tangent; it can be used to design a mechanism which moving point velocity does instant reversion at pointed point. Curve at inflexion has zero curvature,and normal acceleration is zero too; it can be used to design a mechanism which moving point has an approximate line. But,only when animation is made or curve form of number group of moving point coordinates are generated,the link curves contained pointed point and inflexion can be shown. Through setting mathematical equations and making animations on two types of points in link of planar four-bar mechanism and other mechanisms,dimension relations and link curves of these mechanisms are shown. As a virtual experiment project,it realizes an organic integration on mechanism design theory with experimental teaching; stimulates positive factors of the students doing mechanisms and machine theory experiments,and trains also the student＇s computer compiling program ability.

关 键 词：四杆机构 连杆曲线 尖点 拐点 虚拟实验 

分 类 号：TP215[自动化与计算机技术—检测技术与自动化装置] TH112.3[自动化与计算机技术—控制科学与工程]