大齿宽齿轮耦合转子系统准静态接触分析及动态特性

doi:10.3901/JME.2020.03.096

机械工程学报 ›› 2020, Vol. 56 ›› Issue (3): 96-105.doi: 10.3901/JME.2020.03.096

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大齿宽齿轮耦合转子系统准静态接触分析及动态特性

袁冰¹, 常山^2,3, 刘更², 刘岚², 曹晓梅²

1. 西安工业大学机电工程学院西安 710021;
2. 西北工业大学陕西省机电传动与控制工程实验室西安 710072;
3. 中国船舶重工集团第七〇三研究所哈尔滨 150078

收稿日期:2019-03-03 修回日期:2019-09-19 出版日期:2020-02-05 发布日期:2020-04-09
通讯作者: 袁冰(通信作者),男,1987年出生,讲师。主要研究方向为齿轮啮合理论、机械系统动力学等。E-mail:307504259@qq.com
作者简介:常山,男,1961年出生,博士,研究员,博士研究生导师。主要研究方向为齿轮修形、齿轮动力学等。E-mail:changshan1@163.com;刘更,男,1961年出生,博士,教授,博士研究生导师。主要研究方向为机械动力学、接触力学和虚拟样机技术。E-mail:npuliu@nwpu.edu.cn;刘岚,男,1974年出生,博士,副教授,硕士研究生导师。主要研究方向为微扑翼飞行器设计、齿轮动力学等。E-mail:npuliulan@nwpu.edu.cn
基金资助:
国家自然科学基金（51535009）、高等学校学科创新引智计划（B13044）资助项目。

Quasi-static Contact and Dynamic Behaviors Analysis of Wide-faced Gear Coupled with Rotor System

YUAN Bing¹, CHANG Shan^2,3, LIU Geng², LIU Lan², CAO Xiaomei²

1. School of Mechatronic Engineering, Xi'an Technological University, Xi'an 710021;
2. Shaanxi Engineering Laboratory for Transmissions and Controls, Northwestern Polytechnical University, Xi'an 710072;
3. China Shipbuilding Industry Corporation 703 Institute, Harbin 150078

Received:2019-03-03 Revised:2019-09-19 Online:2020-02-05 Published:2020-04-09

摘要/Abstract

摘要： 将大齿宽齿轮沿齿宽方向进行切片并构建一系列非线性接触单元，根据各接触单元在转子上的位置将其与Timoshenko梁单元相耦合，建立了一种齿轮耦合转子系统多点啮合准静态接触分析模型，并首次提出了齿轮副广义传递误差的概念。通过求解静力学平衡方程组，得到齿轮副啮合错位量分布和齿面载荷分布。将齿轮副动态啮合激励引入系统动力学模型，求解考虑转子系统变形的齿轮系统动态响应。通过与有限元计算结果对比，验证了准静态接触模型的有效性。分析了支承布局形式、功率传递路径和负载扭矩对系统准静态及动态特性的影响。研究表明：不同支承布局形式下齿面接触状态和系统动态特性差异明显。不同功率传递路径下系统准静态和动态特性非常接近。不同负载扭矩下齿面接触状态非常接近，然而，随着负载扭矩的增加，啮合错位量逐渐增大，系统振动逐渐增强。

关键词: 大齿宽齿轮, 啮合错位, 支承布局, 功率传递路径, 齿面载荷分布

Abstract: By slicing wide-faced gears along gear width and constructing a series of nonlinear contact elements, which are coupled with Timoshenko beam elements according to the mounting position of each element on rotors, a multi-point quasi-static contact analysis model for geared rotor systems is established, and the generalized loaded static transmission error for gear pairs is proposed for the first time. By solving the static balance equations, the load distribution and mesh misalignment distribution are obtained. The mesh excitations of gear pairs are introduced into the dynamic model to solve the dynamic responses of the system considering shaft deflection. Compared with the finite element method, the proposed quasi-static contact analysis model is validated. The effects of supporting layout, power transmission path and transmitted torque on quasi-static and dynamic characteristics of the system are investigated. The results show that the supporting layout has significant effect on quasi-static contact condition and dynamic behaviors of the system. The quasi-static and dynamic behaviors of the system are very close under different power transmission paths. The transmitted torque shows very weak influence on contact patterns of mating gear teeth. However, as the transmitted torque increases, the increasing mesh misalignment results in stronger system vibration.

Key words: wide-faced gear, mesh misalignment, supporting layout, power transmission path, load distribution

中图分类号:

TH113

袁冰, 常山, 刘更, 刘岚, 曹晓梅. 大齿宽齿轮耦合转子系统准静态接触分析及动态特性[J]. 机械工程学报, 2020, 56(3): 96-105.

YUAN Bing, CHANG Shan, LIU Geng, LIU Lan, CAO Xiaomei. Quasi-static Contact and Dynamic Behaviors Analysis of Wide-faced Gear Coupled with Rotor System[J]. Journal of Mechanical Engineering, 2020, 56(3): 96-105.

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大齿宽齿轮耦合转子系统准静态接触分析及动态特性

Quasi-static Contact and Dynamic Behaviors Analysis of Wide-faced Gear Coupled with Rotor System

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