China Mechanical Engineering ›› 2021, Vol. 32 ›› Issue (06): 697-704.DOI: 10.3969/j.issn.1004-132X.2021.06.009

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Reverse Design and Kinematics Analysis of Reciprocating Linear Mechanisms  Based on Non-circular Differential Gear Trains

WANG Feixue1,2;LIU Ya1,2;ZANG Xinliang1,2   

  1. 1. School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004
    2. Hebei Innovation Center for Equipment Lightweight Design and Manufacturing, Qinhuangdao, Hebei, 066004
  • Online:2021-03-25 Published:2021-04-01

非圆齿轮差动轮系往复机构反求设计与运动学分析

汪飞雪1,2;刘亚1,2;臧新良1,2   

  1. 1. 燕山大学机械工程学院,秦皇岛,066004
    2. 河北省轻质结构装备设计与制备工艺技术创新中心,秦皇岛,066004
  • 通讯作者: 臧新良(通信作者),男,1963年生,教授。研究方向为重型装备结构分析、机械动力学。E-mail: zangxl@ysu.edu.cn。
  • 作者简介:汪飞雪,男,1980年生,副教授。研究方向为塑性成形过程的工艺理论、形变行为及质量控制、CAD/CAE数值模拟技术。E-mail: fxwang@ysu.edu.cn。
  • 基金资助:
    河北省自然科学基金(E2017203127);燕山大学基础研究专项课题(16LGA001)

Abstract: In order to achieve the desired reciprocating motions concisely and effectively, a new mechanism was proposed by combining non-circular differential gear trains with a rack to realize reciprocating linear motions. It was simple in forms and reliable in operations, through the reasonable pitch curve design, the ideal output motion curves might be obtained. The kinematics analysis of the mechanisms was carried out, and the influences of the pitch curve on the motion characteristics were analyzed. Taking the execution parts following the law of the cosine acceleration and sine acceleration as an example, the non-circular gear pitch curves were obtained in reverse. The influence laws and design criteria of different factors on pitch curve, such as swing angle of output gear, the transmission ratio of the differential gear train and the order of pitch curve, were researched. Besides, the influence laws of the above two motion laws on the transmission ratio, the pitch curve and the characteristics of quick return were compared. The principle prototype of non-circular differential gear trains with rack transmission system was built, and the feasibility and correctness of the new transmission system was verified.

Key words: non-circular gear, pitch curve, differential gear train, reciprocating mechanism, reverse design

摘要: 为了简洁有效地实现所需的往复运动,提出了一种非圆齿轮差动轮系组合并配以齿条来实现往复直线运动的新型机构,通过合理的节曲线设计,可得到理想的输出运动曲线,该机构形式简单、运行可靠。完成了机构运动学分析,并分析了节曲线对运动特性的影响机制。以执行部件遵循余弦加速度和正弦加速度运动规律输出为例,反求得到了该机构非圆齿轮的节曲线,研究了输出齿轮的摆动角度、差动轮系传动比以及节曲线阶数等参数对节曲线的影响规律和设计准则。比较了上述两种运动规律对节曲线、传动比以及急回特性的影响规律。搭建了非圆齿轮差动轮系传动系统原理样机,并验证了新型传动系统的可行性。

关键词: 非圆齿轮, 节曲线, 差动轮系, 往复运动机构, 反求设计

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