Analysis of Inherent Characteristics of Two-Speed Planetary Gear Transmission System

4区工程技术 Q1 Mathematics

Mathematical Problems in Engineering Pub Date : 2023-10-26 DOI:10.1155/2023/5533390

Wuzhong Tan, Zhibin Zheng, Xueshen Wu, Enming Xiang, Yixiong Yan

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Abstract

In the helicopter transmission system, because the two-speed gear planetary transmission system without power interruption adopts the design of a double planetary gear system, the complexity of the structure leads to the time-varying meshing stiffness, tooth surface friction and the interaction between components and other nonlinear factors are uncontrollable, and causes the helicopter transmission system vibration noise, unstable operation, and other problems. To solve the above problems, the inherent characteristics of the two-speed planetary gear transmission system without power interruption were studied and analyzed to find out the influence law of its inherent characteristics. The inherent characteristics of a planetary gear drive system are mainly related to the integrated stiffness such as component mass, support stiffness, and meshing stiffness in the system. Based on the centralized mass method, the translation-torsional coupling dynamics model of the double planetary gear drive system was established. According to the displacement coordination relationship between the components of the system, the dynamics equation of the double planetary gear drive system was constructed. The mass matrix and stiffness matrix were obtained using MATLAB, and the system’s natural frequency was obtained by solving the dynamics equation. The results show that the low-order natural frequency is mainly the torsional vibration mode of the center component and the torsional vibration mode of the center component. The influence of the mass of the component on the natural frequency is more complex and has a certain influence on both the high- and low-order natural frequency. The support stiffness in the system mainly affects the low-order natural frequency and the meshing stiffness in the system mainly affects the high-order natural frequency.

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双速行星齿轮传动系统固有特性分析

在直升机传动系统中，由于无动力中断双速齿轮行星传动系统采用双行星齿轮系统的设计，其结构的复杂性导致啮合刚度时变、齿面摩擦和部件间相互作用等非线性因素不可控，并造成直升机传动系统振动噪声大、运行不稳定等问题。针对上述问题，对无电源中断双速行星齿轮传动系统的固有特性进行了研究和分析，找出了其固有特性的影响规律。行星齿轮传动系统的固有特性主要与系统中元件质量、支承刚度、啮合刚度等综合刚度有关。基于集中质量法，建立了双行星齿轮传动系统的平移-扭转耦合动力学模型。根据系统各部件之间的位移协调关系，建立了双行星齿轮传动系统的动力学方程。利用MATLAB获得了质量矩阵和刚度矩阵，通过求解动力学方程得到了系统的固有频率。结果表明:低阶固有频率主要为中心构件的扭转振动模态和中心构件的扭转振动模态;构件质量对固有频率的影响更为复杂，对高阶和低阶固有频率都有一定的影响。系统的支承刚度主要影响低阶固有频率，系统的啮合刚度主要影响高阶固有频率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Problems in Engineering 工程技术-工程：综合

CiteScore

4.00

自引率

0.00%

发文量

2853

审稿时长

4.2 months

期刊介绍： Mathematical Problems in Engineering is a broad-based journal which publishes articles of interest in all engineering disciplines. Mathematical Problems in Engineering publishes results of rigorous engineering research carried out using mathematical tools. Contributions containing formulations or results related to applications are also encouraged. The primary aim of Mathematical Problems in Engineering is rapid publication and dissemination of important mathematical work which has relevance to engineering. All areas of engineering are within the scope of the journal. In particular, aerospace engineering, bioengineering, chemical engineering, computer engineering, electrical engineering, industrial engineering and manufacturing systems, and mechanical engineering are of interest. Mathematical work of interest includes, but is not limited to, ordinary and partial differential equations, stochastic processes, calculus of variations, and nonlinear analysis.