河北水利电力学院学报

河北水利电力学院学报 ›› 2025, Vol. 35 ›› Issue (4): 81-86.DOI: 10.16046/j.cnki.issn2096-5680.2025.04.014

• 机械工程 • 上一篇    

连杆运动轨迹包络线方程及质心轨迹方程研究

李晓霞1, 黄保科2   

  1. 1.安徽汽车职业技术学院基础教研室,安徽省合肥市包河区紫云路99号 230091;
    2.安徽江淮汽车集团股份有限公司发动机分公司,安徽省合肥市东流路176号 230601
  • 收稿日期:2024-03-23 修回日期:2024-12-01 出版日期:2025-11-30 发布日期:2026-01-05
  • 作者简介:李晓霞(1984-),女,山东德州人,讲师,主要研究方向:应用数学、高等数学等。E-mail:lixiaoxiashuxue@163.com
  • 基金资助:
    2021年度安徽省高等学校省级质量工程项目(2021jyxm0440)

Equations Research of Connecting Rod’s Motion Envelope and Mass Center Trajectory

LI Xiaoxia1, HUANG Baoke2   

  1. 1. Fundamental Department of Teaching & Research, Anhui Automobile Vocational and Technical College, 230091, Hefei, Anhui, China;
    2. Engine Branch, Anhui Jianghuai Automobile Group Co., Ltd., 230601, Hefei, Anhui, China
  • Received:2024-03-23 Revised:2024-12-01 Online:2025-11-30 Published:2026-01-05

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摘要： 为准确描述及分析内燃机连杆及其质点运动特性,文中通过分析曲柄连杆机构的运动原理和连杆的运动特点,借助GeoGebra软件作为辅助工具建立了曲柄连杆机构模型,模拟了连杆的运动轨迹及质心运动轨迹图。从数学分析的角度解析了连杆运动轨迹边缘线的包络性,并推导出连杆运动轨迹包络线方程及其质心运动轨迹方程。运用包络线方程只需确定连杆长度和曲柄半径即可得到连杆运动轨迹包络线,从而确定连杆安全运动边界,提升设计效率。连杆质心运动轨迹方程能够更好地推动连杆平衡问题的研究及解决。

关键词: 连杆, 轨迹, 质心, 包络线方程

Abstract: Based on the motion principle of the crank-connecting rod mechanism and the motion characteristics of the connecting rod, the model of the crank-connecting rod mechanism is established with the help of the software GeoGebra to accurately describe and analyze the motion features of the connecting rod and its particles in internal combustion engines. This paper analyzes the envelopment of the edge line of the connecting rod motion track from the angle of mathematical analysis, and deduces the envelopment line equation of the connecting rod motion track and mass center’s motion track equation. By using the envelope equation, only the connecting rod length and the crank radius need to be determined to obtain the trajectory envelope of the connecting rod, so as to determine the safe movement boundary of the connecting rod and improve the design efficiency. The trajectory equation of connecting rod’s mass center can better promote the research and solution of connecting rod balance.

Key words: connecting rod, trajectory, mass center, envelope equation

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