空间多重共轭传动机构承载能力及误差分析研究

发布时间：2018-03-07 01:02

本文选题：多重共轭传动机构　切入点：啮合模型　出处：《湘潭大学》2014年博士论文　论文类型：学位论文

【摘要】：空间多重共轭传动机构是指同时通过多对空间共轭曲面的啮合，传递运动和动力的机构，多重包含了同时多点共轭和交互包络的内涵。通过多重啮合，空间多重共轭传动机构具有非常显著的优点：结构设计灵活、传动平稳、结构紧凑、传递效率高和高重合度等。但空间多重共轭传动机构由于设计计算复杂、加工困难，传动性能难达到设计要求，且精度评定体系不完善，一直制约其发展，本文拟通过相关理论及技术的研究，克服以上瓶颈，促进该机构的推广应用。本文主要研究内容如下：（1）论文阐述了研究背景，给出了空间多重共轭传动机构的定义。阐述了空间啮合理论发展及在共轭传动机构中的应用情况、空间多重共轭传动机构静载荷强度校核及动力学研究进展、机构的误差分析及综合的研究进展，阐明了迫切需要研究的问题，并相应地给出了本文的研究内容。（2）通过介绍与论文研究相关的微分几何知识、坐标变换及空间共轭条件，推导了多重共轭传动机构的啮合条件。建立了超环面行星蜗杆传动机构和弧面凸轮机构的啮合模型及数字仿真模型，并对空间多重共轭圆柱端面凸轮开展工程应用研究。（3）建立了空间多重共轭传动机构多点共轭时接触点之间的载荷分配模型，并以此模型为基础，研究了超环面行星蜗杆传动机构压力角的变化情况，研究了超环面行星蜗杆传动机构啮合齿接触疲劳应力和弯曲疲劳应力的校核方法。（4）在已建立空间多重共轭啮合模型及含误差啮合模型的基础上，开展了空间多重共轭传动机构的误差分析与综合的研究，并以超环面行星蜗杆传动机构和弧面凸轮机构为例，初步建立了他们的精度体系。（5）通过先研究超环面行星蜗杆传动机构的动力学模型，再分析在动力学模型中加入误差的方法，研究了误差对机构固有频率的影响。介绍了超环面行星蜗杆减速箱的试制、传动性能台架试验以及振动特性的分析等，验证了基于上述理论所开发的超环面行星蜗杆减速箱样机具有良好的传动性能。（6）将含误差的螺旋升角代入法向力计算公式，得到了含误差的齿面法向力计算式。采用Matlab语言编程，代入误差的不同误差值，对齿面法向力进行计算分析，考察了误差对均载的影响规律。本文以空间多重共轭传动机构的误差分析为主线，对其啮合理论、数字啮合模型的建立、载荷分布、动力学建模以及产品的试制开展研究，对解决该类机构工程应用所需的基础理论以及关键技术问题，取得了一定的进展。
[Abstract]:Spatial multiplex conjugate transmission mechanism refers to the mechanism that transmits motion and power simultaneously through the meshing of multiple pairs of space conjugate surfaces, which contains the connotation of simultaneous multi-point conjugation and interactive envelope. The spatial multiplex conjugate transmission mechanism has many advantages, such as flexible structure design, stable transmission, compact structure, high transfer efficiency and high coincidence, etc. However, because of the complexity of design and calculation, it is difficult to process the spatial multiplex conjugate transmission mechanism. The transmission performance is difficult to meet the design requirements, and the accuracy evaluation system is not perfect, which has been restricting its development. This paper intends to overcome the above bottlenecks and promote the popularization and application of the mechanism through the research of relevant theory and technology. The main contents of this paper are as follows:. 1) in this paper, the research background is expounded, the definition of spatial multi-conjugate transmission mechanism is given, and the development of space meshing theory and its application in conjugate transmission mechanism are described. The research progress of static load strength checking and dynamics of spatial multi-conjugate transmission mechanism, the error analysis and synthesis of mechanism, the urgent problems that need to be studied are expounded, and the research contents of this paper are given accordingly. By introducing the knowledge of differential geometry, coordinate transformation and space conjugate condition, The meshing conditions of the multi-conjugate transmission mechanism are derived, the meshing model and digital simulation model of the super-toroidal planetary worm drive mechanism and the globoidal cam mechanism are established, and the engineering application of the spatial multi-conjugate cylindrical face cam is studied. In this paper, the load distribution model between contact points of space multi-conjugate transmission mechanism with multi-point conjugation is established, and based on this model, the change of pressure angle of super-toroidal planetary worm transmission mechanism is studied. The checking method of contact fatigue stress and bending fatigue stress of meshing teeth of the supertoroidal planetary worm drive mechanism is studied. 4) on the basis of the spatial multi-conjugate meshing model and the error-containing meshing model, the error analysis and synthesis of the spatial multi-conjugate transmission mechanism have been carried out, and taking the super-toroidal planetary worm drive mechanism and the globoidal cam mechanism as examples, Their accuracy system has been preliminarily established. 5) by studying the dynamic model of the toroidal planetary worm transmission mechanism, and then analyzing the method of adding error to the dynamic model, the influence of error on the natural frequency of the mechanism is studied, and the trial manufacture of the supertoroidal planetary worm gearbox is introduced. The bench test of transmission performance and the analysis of vibration characteristics have proved that the prototype of the supertoroidal planetary worm gearbox developed on the basis of the above theory has good transmission performance. In this paper, the formula of normal force of tooth surface with error is obtained by replacing the spiral rising angle with error. The normal force of tooth surface is calculated and analyzed by using Matlab programming language and substituting different error value of error. The effect of error on average load is investigated. In this paper, the error analysis of spatial multiplex conjugate transmission mechanism is taken as the main line, the meshing theory, the establishment of digital meshing model, the load distribution, the dynamic modeling and the trial production of the product are studied. Some progress has been made in solving the basic theory and key technical problems needed for the engineering application of this kind of mechanism.
【学位授予单位】：湘潭大学
【学位级别】：博士
【学位授予年份】：2014
【分类号】：TH112

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