柴油机轴系扭振系统的强非线性主共振

计算物理 ›› 2017, Vol. 34 ›› Issue (3): 374-378.

• 研究论文 • 上一篇

柴油机轴系扭振系统的强非线性主共振

杨志安¹, 卞雅媛²

1. 唐山学院和唐山市结构与振动工程重点实验室, 唐山 063000;
2. 华北理工大学机械工程学院, 唐山 069000

收稿日期:2016-04-05 修回日期:2016-07-15 出版日期:2017-05-25 发布日期:2017-05-25
作者简介:杨志安(1963-),男,博士,教授,研究方向为机构学与机械动力学,E-mail:yangzhi_an@163.com;卞雅媛(1989-),女,硕士,研究方向为机构学与机械动力学,E-mail:1198608508@qq.com
基金资助:
河北省自然科学基金（A200900097）资助项目

Primary Resonance of Strong Nonlinear Torsional Vibration System of Diesel Shafting

YANG Zhian¹, BIAN Yayuan²

1. Key Laboratory of Structure and Vibration Engineering of Tangshan and Tangshan College, Tangshan 063000, China;
2. School of Mechanical Engineering, North China University of Technology, Tangshan 069000, China

Received:2016-04-05 Revised:2016-07-15 Online:2017-05-25 Published:2017-05-25

摘要/Abstract

摘要： 研究柴油机轴系扭振系统强非线性问题.根据拉格朗日方程建立柴油机轴系扭振系统的动力学模型，通过参数变换，应用Modified Lindstedt-Poincaré方法得到柴油机轴系扭振系统强非线性主共振的幅频响应方程，分析系统不同参数对主共振幅频响应的影响.结果表明，系统的幅频响应曲线存在跳跃，随着简谐力矩的减小和阻尼的增大，系统的非线性跳跃减弱，系统的振幅减小，系统主共振的区域也随之减小；随着调谐参数的变化，系统的主共振力幅响应曲线存在两种拓扑结构.MLP方法得出的近似解析解与龙格库塔法得出的数值解吻合.

关键词: 柴油机, 扭振, 强非线性, MLP法, 主共振

Abstract: Strong nonlinear torsional vibration system of diesel shafting is studied. A dynamic model of torsional vibration system is established based on Lagrangian equation. Modified Lindstedt-Poincaré method is used to deal with primary resonance of diesel shafting torsional vibration of strong nonlinear system. Amplitude frequency response equation is obtained and influence of parameters on amplitude frequency response is analyzed. It shows that system frequency response exists jump phenomenon. As amplitude of harmonic torque decreases and damping increases, nonlinear jump of the system weakens, amplitude of the system reduces, and regions of primary resonance of the system decreases. With change of tuning parameter, amplitude excitation response has two kinds of topological structure. The result of MLP analysis is consistent with Runge Kutta numerical solutions.

Key words: diesel engine, torsional vibration, strongly nonlinear, MLP method, primary resonance

中图分类号:

O324

杨志安, 卞雅媛. 柴油机轴系扭振系统的强非线性主共振[J]. 计算物理, 2017, 34(3): 374-378.

YANG Zhian, BIAN Yayuan. Primary Resonance of Strong Nonlinear Torsional Vibration System of Diesel Shafting[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(3): 374-378.

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柴油机轴系扭振系统的强非线性主共振

Primary Resonance of Strong Nonlinear Torsional Vibration System of Diesel Shafting

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