同平面轴等直径钩杆空间螺旋线齿轮设计理论研究
发布时间：2019-02-17 09:56
【摘要】：微机电系统（MEMS）具有结构微型化、功能多样化、智能化、能耗低、灵敏度和工作效率高等优点。微小型/微型机电产品的最主要特征是体积小、重量轻，以小动力的运动传递或者分度运动为主，以动力传递为主的常规传动机构通常不再适用。因此，微小/微传动机构及驱动装置的工作原理、性能特征和设计制造的创新研究已逐渐成为机械学科前沿研究领域的研究热点和重要方向之一。 本文首先针对国内外微小/微传动机构及驱动装置的研究成果进行了系统性的阐述与分析，然后在前期用于正交轴传动的空间曲线啮合轮传动机构的研究基础上，开展了同平面轴等直径钩杆空间螺旋线齿轮设计理论研究。首先，建立了具有普适性的用于同平面内任意角度交叉轴和平行轴传动的空间曲线啮合理论。在此基础上，研究解决等直径钩杆空间螺旋线齿轮传动机构工业化应用的关键问题，从而为构建独立而完整的同平面轴等直径钩杆空间螺旋线齿轮设计理论奠定基础。大量理论分析与实验研究表明，本文研究的同平面轴等直径钩杆空间螺旋线齿轮具有工业化应用的指导性与可行性。 总体来说，本文具体开展了以下几个方面的研究工作： 1.建立了适用于任意角度交叉轴和平行轴传动的空间曲线啮合方程。首先建立了空间曲线啮合坐标系，分析空间曲线啮合的约束条件，，推导具备普适性的轴线共面的空间曲线啮合方程。根据主从动钩杆空间矢量关系，得到等直径钩杆空间螺旋线齿轮主从动钩杆的接触线与中心线方程。 2.在轴线共面的空间曲线啮合方程的基础上，推导等直径钩杆空间螺旋线齿轮的重合度设计公式。分析影响等直径钩杆空间螺旋线齿轮重合度的各项参数，研究重合度的几种设计方法。在重合度设计公式及其影响因素基础上，研究主动钩杆的最少齿数，并针对传动连续性和平稳性进行运动学仿真分析和实验研究，验证重合度设计公式的正确性。 3.研究等直径钩杆空间螺旋线齿轮参数标准化设计。分析等直径钩杆空间螺旋线齿轮主从动轮的各项齿形结构参数，包括齿数、螺旋升角、螺距、钩杆直径、齿高等，确定主从动轮坐标系中心距，确定等直径钩杆空间螺旋线齿轮的基本设计参数和基本设计尺寸。为避免主从动轮之间的干涉，修正主从动钩杆中心线和接触线参数取值范围。 4.制定等直径钩杆空间螺旋线齿轮的弯曲疲劳无限寿命设计准则。分别针对等直径钩杆空间螺旋线齿轮啮合传动的主动钩杆和从动钩杆进行受力分析，结合ANSYS有限元数值模拟仿真，推导主动钩杆根部最大名义应力解析式，拟合具有普适性的主动钩杆根部理论应力集中系数的函数表达式。根据疲劳强度理论，结合安全系数法，制定等直径钩杆空间螺旋线齿轮的弯曲疲劳无限寿命设计准则。 5.研究等直径钩杆空间螺旋线齿轮主动钩杆结构优化设计。分析主动钩杆各项螺旋参数与主动钩杆应力和变形之间的变化规律，确定包括螺旋升角在内的各项设计参数的最优取值范围，提高等直径钩杆空间螺旋线齿轮传动副的承载能力和抗变形能力。
[Abstract]:Micro-electro-mechanical system (MEMS) has the advantages of miniaturization of structure, diversified functions, intelligence, low energy consumption, high sensitivity and working efficiency. The main characteristics of the micro/ micro mechanical and electrical products are small volume, light weight, small power transmission or division movement, and the conventional transmission mechanism with power transmission is no longer applicable. Therefore, the working principle, performance characteristics and design and manufacture of the micro/ micro transmission mechanism and the driving device have gradually become one of the hot and important research fields in the research field of mechanical discipline. In this paper, a systematic exposition and analysis of the research results of the micro/ micro-drive mechanism and the driving device at home and abroad, and then the research foundation of the space curve engaging wheel transmission mechanism for the orthogonal axis transmission in the early stage On the other hand, the theoretical research on the design of the helical gear with the same diameter as the plane shaft and the like is carried out. First of all, it is reasonable to establish a universal space curve for arbitrary angle cross-axis and parallel-axis transmission in the same plane. On the basis of this, the key problems of the industrial application of the large-diameter hook-and-rod space helical gear transmission mechanism have been solved, so as to lay the foundation for the construction of the theory of the design of the helical gear of the large-diameter hook-rod space, such as the independent and complete same-plane axis. In this paper, a large number of theoretical analysis and experimental studies have shown that the same-diameter hook-and-rod space spiral gear, such as the same plane axis, has the guidance and feasibility of industrial application. In general, the article specifically carries out the research on the following aspects Study: 1. A space curve suitable for any angle cross-axis and parallel-axis drive is established The linear meshing equation is established. First, a space curve meshing coordinate system is established, the constraint conditions of the meshing of the spatial curves are analyzed, and the space curve with the universal axis co-plane is derived. according to the relation of the space vector of the master-slave dynamic hook rod, the contact line of the master-slave movable hook rod of the equal-diameter hook rod space spiral gear is obtained, On the basis of the space curve meshing equation of the axial co-surface, the space spiral gear of the equal-diameter hook and rod is derived. The coincidence degree design formula is used to analyze the parameters of the coincidence degree of the diameter hook and rod space spiral gear, and the degree of coincidence is studied. In this paper, the minimum number of teeth of the active hook rod is studied on the basis of the design formula of the coincidence degree and the influencing factors, and the kinematic simulation analysis and the experimental study are carried out for the transmission continuity and the stability, and the coincidence degree setting is verified. Correctness of the formula. 3. Diameter hook-and-rod space helix, such as study The gear parameter standardized design. The tooth profile structure parameters of the primary and secondary driven wheel of the diameter hook and rod space spiral gear are analyzed, including the number of teeth, the helix angle, the pitch, the diameter of the hook rod, the height of the teeth, and the like. The basic design of the equal-diameter hook-and-rod space spiral gear based on the center distance of the driven wheel coordinate system In order to avoid the interference between the driven wheel and the driven wheel, the center line of the master-slave moving hook rod and the center line of the master-slave moving hook rod are corrected to avoid the interference between the master and slave wheel. The value range of the contact line parameter. 4. Make the curve of the equal-diameter hook rod space spiral gear The design criterion of the infinite life of the bending fatigue is given. The active hook rod and the driven hook rod for meshing transmission of the equal-diameter hook rod space spiral gear are respectively subjected to stress analysis, and the active hook rod is derived by combining the finite element numerical simulation and simulation of the ANSYS. The maximum nominal stress analytic formula of the root and the root theory of the active hook rod with universality should be fitted. The function expression of the force concentration coefficient. According to the fatigue strength theory and the safety factor method, the curve of the equal-diameter hook rod space spiral gear is established. Design criterion of the infinite life of the bending fatigue. 5. The space spiral of the diameter hook and rod, such as the study, etc. The optimum design of the structure of the active hook rod of the wire gear is analyzed. The variation of the spiral parameters of the active hook and the stress and the deformation of the active hook rod is analyzed, and the optimum range of the design parameters including the screw-lift angle is determined, and the transmission of the helical gear of the equal-diameter hook rod space is improved.
【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】：TH132.422
本文编号：2425044
[Abstract]:Micro-electro-mechanical system (MEMS) has the advantages of miniaturization of structure, diversified functions, intelligence, low energy consumption, high sensitivity and working efficiency. The main characteristics of the micro/ micro mechanical and electrical products are small volume, light weight, small power transmission or division movement, and the conventional transmission mechanism with power transmission is no longer applicable. Therefore, the working principle, performance characteristics and design and manufacture of the micro/ micro transmission mechanism and the driving device have gradually become one of the hot and important research fields in the research field of mechanical discipline. In this paper, a systematic exposition and analysis of the research results of the micro/ micro-drive mechanism and the driving device at home and abroad, and then the research foundation of the space curve engaging wheel transmission mechanism for the orthogonal axis transmission in the early stage On the other hand, the theoretical research on the design of the helical gear with the same diameter as the plane shaft and the like is carried out. First of all, it is reasonable to establish a universal space curve for arbitrary angle cross-axis and parallel-axis transmission in the same plane. On the basis of this, the key problems of the industrial application of the large-diameter hook-and-rod space helical gear transmission mechanism have been solved, so as to lay the foundation for the construction of the theory of the design of the helical gear of the large-diameter hook-rod space, such as the independent and complete same-plane axis. In this paper, a large number of theoretical analysis and experimental studies have shown that the same-diameter hook-and-rod space spiral gear, such as the same plane axis, has the guidance and feasibility of industrial application. In general, the article specifically carries out the research on the following aspects Study: 1. A space curve suitable for any angle cross-axis and parallel-axis drive is established The linear meshing equation is established. First, a space curve meshing coordinate system is established, the constraint conditions of the meshing of the spatial curves are analyzed, and the space curve with the universal axis co-plane is derived. according to the relation of the space vector of the master-slave dynamic hook rod, the contact line of the master-slave movable hook rod of the equal-diameter hook rod space spiral gear is obtained, On the basis of the space curve meshing equation of the axial co-surface, the space spiral gear of the equal-diameter hook and rod is derived. The coincidence degree design formula is used to analyze the parameters of the coincidence degree of the diameter hook and rod space spiral gear, and the degree of coincidence is studied. In this paper, the minimum number of teeth of the active hook rod is studied on the basis of the design formula of the coincidence degree and the influencing factors, and the kinematic simulation analysis and the experimental study are carried out for the transmission continuity and the stability, and the coincidence degree setting is verified. Correctness of the formula. 3. Diameter hook-and-rod space helix, such as study The gear parameter standardized design. The tooth profile structure parameters of the primary and secondary driven wheel of the diameter hook and rod space spiral gear are analyzed, including the number of teeth, the helix angle, the pitch, the diameter of the hook rod, the height of the teeth, and the like. The basic design of the equal-diameter hook-and-rod space spiral gear based on the center distance of the driven wheel coordinate system In order to avoid the interference between the driven wheel and the driven wheel, the center line of the master-slave moving hook rod and the center line of the master-slave moving hook rod are corrected to avoid the interference between the master and slave wheel. The value range of the contact line parameter. 4. Make the curve of the equal-diameter hook rod space spiral gear The design criterion of the infinite life of the bending fatigue is given. The active hook rod and the driven hook rod for meshing transmission of the equal-diameter hook rod space spiral gear are respectively subjected to stress analysis, and the active hook rod is derived by combining the finite element numerical simulation and simulation of the ANSYS. The maximum nominal stress analytic formula of the root and the root theory of the active hook rod with universality should be fitted. The function expression of the force concentration coefficient. According to the fatigue strength theory and the safety factor method, the curve of the equal-diameter hook rod space spiral gear is established. Design criterion of the infinite life of the bending fatigue. 5. The space spiral of the diameter hook and rod, such as the study, etc. The optimum design of the structure of the active hook rod of the wire gear is analyzed. The variation of the spiral parameters of the active hook and the stress and the deformation of the active hook rod is analyzed, and the optimum range of the design parameters including the screw-lift angle is determined, and the transmission of the helical gear of the equal-diameter hook rod space is improved.
【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】：TH132.422
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