空间曲线啮合轮精密传动技术的研究

发布时间：2018-01-31 23:21

本文关键词： 空间曲线啮合轮电解擦削齿面接触分析承载齿面接触分析重合度传动精度　出处：《华南理工大学》2013年博士论文　论文类型：学位论文

【摘要】：齿轮传动是应用最广泛的机械传动技术，距今已有五百多年的历史。根切现象限制了齿轮的传动空间。为了避免齿轮的根切，就必须牺牲齿轮的传动空间。空间曲线啮合轮（Space Curve Meshing Wheel，SCMW）的产生，从根本上消除了齿轮的根切现象，推动了齿轮传动技术的发展。本文围绕如何提升SCMW传动精度做了相关的研究。首先，在激光熔融快速成型制造技术的基础之上，研究了SCMW钩杆表面质量改进技术，，从而提高SCMW的传动精度。其次，在SCMW传动的过程中，由于装配误差和负载作用，其传动精度也会降低。本文研究了装配误差、负载以及重合度对传动精度的影响，并提出相应的解决方案来提高传动精度。具体来讲，本文进行了以下几个方面的工作： 1.研究了电解擦削精加工技术，设计了SCMW的电解擦削的加工工具和加工设备，并设计相应的加工方案对SCMW的啮合钩杆进行精加工，通过提高其表面质量来提高传动精度。 2.研究了装配误差对SCMW传动精度的影响。根据钩杆中心线方程，结合空间几何学知识，求出啮合钩杆的曲面方程。然后根据齿面接触分析理论，结合空间曲线啮合轮的装配误差模型，推导装配误差存在时的传动误差。从而计算出存在装配误差的情况下，SCMW的传动误差和重合度的变化。为控制和减少传动误差提供理论依据，并在实际的应用过程中，为控制传动误差提供相应的解决方案。 3.研究了负载对SCMW传动精度的影响。分析其传动过程中的钩杆受力与变形情况，计算在啮合过程中钩杆的实际曲面方程。并根据齿面接触方程，计算运动过程中接触点的各个曲面参数与实际传动角度。运用MATLAB拟合出其传动误差曲线，从而计算传动负载对传动误差和重合度的影响。为了提高传动精度，根据计算出的传动误差曲线和各个接触点的变形情况，提出一种钩杆的修形方法对空间曲线啮合轮的钩杆修形。 4.研究了重合度对传动精度的影响。首先，根据重合度的定义，计算出重合度对空间曲线啮合轮载荷分配的影响。其次，根据载荷分配规律，分析了重合度对钩杆变形的影响，并根据钩杆的变形情况，计算出实际的曲面方程，最后，计算运动过程中SCMW传动误差的变化情况，绘制传动误差曲线，分析重合度对传动精度的影响。从而为空间曲线啮合轮的重合度的设计提供理论依据。尽管本文围绕提升空间曲线啮合轮的传动精度做了以上研究，取得了一定的成果，但是仍然存在一些不足，如空间曲线啮合轮的摩擦与润滑并没有进行研究。齿轮副的磨损将是影响传动精度的重要因素，这些工作尚需后续研究。
[Abstract]:Gear transmission is the most widely used mechanical transmission technology, which has a history of more than 500 years. The phenomenon of root cutting limits the transmission space of gear. In order to avoid the root cutting of gear. It is necessary to sacrifice the transmission space of the gear. Space Curve Meshing Wheeler WMWs of the space curve meshing wheel are produced. The root cutting phenomenon of gear is eliminated fundamentally, and the development of gear transmission technology is promoted. This paper focuses on how to improve the accuracy of SCMW transmission. Firstly, on the basis of laser melt rapid prototyping manufacturing technology, the surface quality improvement technology of SCMW hook rod is studied. In order to improve the transmission accuracy of SCMW. Secondly, in the process of SCMW transmission, because of the assembly error and load, the transmission accuracy will also be reduced. The assembly error is studied in this paper. The influence of load and coincidence degree on transmission accuracy is discussed, and the corresponding solutions are put forward to improve transmission accuracy. Specifically, this paper has carried out the following aspects of work: 1. The finishing technology of electrolysis polishing is studied, the machining tool and equipment of SCMW electrolytic polishing are designed, and the corresponding machining scheme is designed to finish the meshing hook rod of SCMW. The transmission accuracy is improved by improving the surface quality. 2. The influence of assembly error on the accuracy of SCMW transmission is studied. According to the centerline equation of hook rod and the knowledge of spatial geometry, the surface equation of meshing hook rod is obtained. Combined with the assembly error model of the space curve meshing wheel, the transmission error when the assembly error exists is deduced, and the case of the assembly error is calculated. The change of transmission error and coincidence degree of SCMW provides a theoretical basis for controlling and reducing transmission error and provides a corresponding solution for controlling transmission error in practical application. 3. The influence of load on the accuracy of SCMW transmission is studied. The force and deformation of the hook rod in the transmission process are analyzed, and the actual curved surface equation of the hook rod in the course of meshing is calculated, and the contact equation of tooth surface is calculated. The surface parameters of contact point and the actual transmission angle are calculated, and the transmission error curve is fitted by MATLAB. In order to improve the transmission accuracy, according to the calculated transmission error curve and the deformation of each contact point, the influence of transmission load on transmission error and coincidence degree is calculated. This paper presents a modification method of hook bar for space curve meshing wheel. 4. The influence of coincidence degree on transmission precision is studied. Firstly, according to the definition of coincidence degree, the influence of coincidence degree on load distribution of space curve meshing wheel is calculated. Secondly, according to the law of load distribution. The effect of coincidence degree on the deformation of hook rod is analyzed. According to the deformation of hook bar, the actual surface equation is calculated. Finally, the change of SCMW transmission error during the course of motion is calculated, and the transmission error curve is drawn. The influence of the coincidence degree on the transmission accuracy is analyzed, which provides a theoretical basis for the design of the coincidence degree of the space curve meshing wheel. Although this paper has done the above research around the transmission accuracy of the lifting space curve meshing wheel, and achieved certain results, but there are still some shortcomings. For example, the friction and lubrication of the space curve meshing wheel are not studied. The wear of the gear pair will be an important factor affecting the transmission accuracy, which needs further study.
【学位授予单位】：华南理工大学
【学位级别】：博士
【学位授予年份】：2013
【分类号】：TH132.41

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