变性椭圆齿轮啮合理论及传动特性研究

发布时间：2018-06-08 22:34

本文选题：变性椭圆齿轮 + 传动特性　；参考：《兰州理工大学》2017年硕士论文

【摘要】：齿轮因自身独特的传动优势,在有传动要求的场合应用普遍。非圆齿轮具有圆齿轮所不具有的传动特点,使其在科技迅速发展的今天有广阔的发展空间,而变性椭圆齿轮副是基于椭圆齿轮副的一种新型非圆齿轮。变性椭圆齿轮融合了椭圆及高阶椭圆的传动特性,这一特性可以使齿轮副用于传递交变载荷,实现变速传动,使其在汽车、工程机械及航空航天等领域存在潜在的应用前景。因此,对变性椭圆齿轮的啮合理论及传动特性进行分析和研究存在必要性,具有重大的理论意义。本课题的研究对象是变性椭圆齿轮,在对变性椭圆齿轮的基本啮合理论研究基础上,进行变性椭圆齿轮的节曲线及其曲率半径等的相关公式进行设计及计算;建立齿轮副的三维模型,并对齿轮副模型进行模态分析,确定齿轮副的固有特性;对齿轮副的理论传动特性进行分析,将运动仿真结果与理论进行对比分析,进一步明确了齿轮副的传动特性;最后分析了齿轮副与曲柄滑块机构相串联机构的运动特性,并根据特定的传动要求设计出变性椭圆齿轮副的节曲线。首先,依据非圆齿轮的基本啮合原理,分析并推导出变性椭圆齿轮的相关理论,并建立其三维模型,为方便齿轮副的设计及今后的制造,在设计时应力求齿轮副中的两个齿轮完全相同。其次,建立齿轮副的有限元模型,通过有限元分析软件ANSYS Workbench,得到所建立模型的固有振型及固有频率,并对比分析了齿轮不同齿宽对其固有特性的影响规律,给今后齿轮系统的故障诊断提供理论支持;建立齿轮副的静力学模型,分析并推导了相关静力学参数的计算公式,从而获得其静力学特性,并推出齿轮副中轮齿的齿根弯曲疲劳强度及齿面接触疲劳强度,为其静力学分析提供参考。最后,对齿轮副的运动学特性进行分析,讨论了偏心率、从动轮阶数及变性系数对齿轮副传动特性的影响规律,并在运动仿真软件中进行其运动情况的仿真,从另一方面反应了齿轮副设计的正确性;将齿轮副与曲柄滑块机构相串联,组成组合机构,研究这一机构的传动规律,获得这一机构的运动学特性。经过本课题的以上研究,使得变性椭圆齿轮的相关理论较为完善,再经过模态分析,静力学,运动学研究,进一步分析了变性椭圆齿轮副的各个传动特性,从而给今后齿轮副的工业应用提供了理论参考依据。
[Abstract]:Because gear has its own unique transmission advantages, it is widely used in the situation of transmission requirements. Non circular gear has the transmission characteristics that the circular gear does not have, so that it has a broad development space in the rapid development of science and technology, and the denatured elliptical gear pair is a new type of non circular gear based on the elliptical gear pair. The transmission characteristics of round and high order ellipse can make the gear pair used to transfer alternating load, realize variable transmission and have potential application prospects in the fields of automobile, engineering machinery and Aeronautics and Astronautics. Therefore, it is necessary to analyze and study the meshing theory and transmission characteristics of denatured elliptical gears, which are of great importance. On the basis of the basic meshing theory of the denatured elliptical gear, this subject is designed and calculated on the basis of the basic meshing theory of the denatured elliptical gear. The three-dimensional model of the gear pair is established, and the modal analysis of the gear pair model is carried out to determine the gear. The theoretical transmission characteristics of the gear pair are analyzed, the results of the motion simulation and the theory are compared and analyzed, and the transmission characteristics of the gear pair are further clarified. Finally, the motion characteristics of the gear pair and the crank slider mechanism series mechanism are analyzed, and the denatured elliptical gear pair is designed according to the special transmission requirements. First, according to the basic meshing principle of the non circular gear, the related theory of the denatured ellipse gear is analyzed and deduced, and its three-dimensional model is established. In order to facilitate the design of the gear pair and the future manufacture, the two gears in the gear pair should be made the same. Secondly, the finite element model of the gear pair is set up, and the finite element method is used. The software ANSYS Workbench is analyzed, and the inherent vibration mode and natural frequency of the model are obtained, and the influence law of different gear width on its inherent characteristics is compared and analyzed. The theoretical support for the fault diagnosis of the gear system in the future is provided, the statics model of the gear pair is established, and the calculation formulas of the related statics parameters are analyzed and deduced, thus the calculation formula of the related statics parameters is analyzed and derived. The static characteristics of the gear pair are obtained, and the tooth root bending fatigue strength and the contact fatigue strength of the gear teeth are introduced, which can provide reference for the static analysis of the gear pair. Finally, the kinematic characteristics of the gear pair are analyzed, the eccentricity rate, the influence law of the order of the moving wheel and the denaturalization coefficient on the gear transmission characteristics are discussed, and the motion simulation is also simulated. The simulation of the motion situation in the software reacts the correctness of the gear pair design on the other hand, and the gear pair is connected with the crank slider mechanism to form a combination mechanism to study the transmission law of this mechanism and obtain the kinematic characteristics of the mechanism. The related theory of the denatured elliptical gear is made by the above research. In order to improve, then through modal analysis, statics and kinematics, the transmission characteristics of the denatured elliptical gear pair are further analyzed, which provides a theoretical reference for the industrial application of the gear pair in the future.
【学位授予单位】：兰州理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TH132.41

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