共轭曲面的数字化方法及共轭鼓形齿联轴器传动研究
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摘要
随着数字化设计和加工技术的发展,解析曲面的共轭理论已不能满足现代设计与加工技术的需要,因此,迫切需要研究基于离散形式的共轭曲面的数字化方法,建立共轭曲面的数字化方法体系,为数字化曲面的展成加工奠定理论基础。
本文提出的共轭曲面的数字化方法和求解理论,是对传统解析共轭理论的突破和发展,其特征就在于抛开传统共轭曲面理论的繁琐推导与变换,仅借用其共轭条件的构架关系,利用数字方法,借助于计算机即可解决共轭曲面理论中的各种问题。它不但能解决数字化曲面的共轭求解问题,也可解决解析曲面的共轭求解问题,实现了“全数字化”的求解过程,使得已知曲面的坐标点测量、共轭曲面求解和共轭曲面的数控加工成为一个衔接紧密的有机整体。
本文采用Visual C++完成数据的初始处理和人机界面,用MATLAB完成共轭曲面求解中的计算问题,即采用前台VC、后台MATLAB的工作方式,首次开发出了数字化共轭曲面求解软件Conjugater1.0,应用该软件可求到与任意数字母曲面Σ 1相共轭的数字曲面Σ 2。该系统具有较强的适应性,通过修改输入参数就可以实现多种形式的共轭计算,由此可提高共轭曲面设计的自动化程度,拓宽其适用范围。
鼓形齿联轴器是一种性能优良的可移式刚性联轴器,是机械传动的重要部件 ,它能够补偿两轴间径向、轴向、角度及其综合位移,在冶金、采矿、化工、起重、运输等机械设备中具有广泛的应用前景。但鼓形齿联轴器缺乏系统的理论和可靠的设计依据,因此,从理论和实验两方面对该传动件进行全面深入地综合研究,具有很强的理论意义和实用价值。
本文根据共轭曲面理论和啮合原理,创立了共轭鼓形齿联轴器的传动理论和分析策略。对鼓形齿联轴器传动的多齿啮合状态、静力学、动力学、接触强度和弯曲强度等力学特性进行了全面研究;利用自行设计的鼓形齿联轴器专用台架实验装置,进行了鼓形齿联轴器多齿啮合实验和齿面裂纹破坏预警实验。通过理论与实验研究,首次得到了该传动装置的一些有价值的结论,这些结论将对该传动件今后的设计思想产生较大的影响和作用。
Along with the development of digitized design and machining, the conjugate theory of analytic surface is not able to satisfy the needs of modern design and manufacturing technology. Therefore, it is urgent to study the digitized method of conjugate surface based on discrete theory, and construct its theoretical system in order to establish the theoretical foundation for the conjugate generating machining of digitized surface.
This dissertation proposes the digital conjugate surface principle and computing theory in order to solve all kinds of problems of conjugate surface theory by use of the conjugate condition via the digital computer, which break through and develop the traditional analytic conjugate theory, and discard the redundancy deduction and transform of the traditional theory. It not only be used to solve the problems of digitized original surfaces, but also solve the problems of analytic original surfaces, and really realizes the digitized analysis of the conjugate surface. This method makes the coordinate measure of the given surface, the resolution and the numerical control machining of the conjugate surface be the tight entirety.
This dissertation adopts Visual C++ to complete the original data disposal and interactive interface, and adopts MATLAB to complete the computing of the conjugate surface, that is to say, adopts the foreground VC and background MATLAB to first develops the software Conjugater1.0 solving the digitized conjugate surfaceΣ 2 corresponding to the arbitrary original surfacesΣ 1. This system has the stronger adaptability to realize the various conjugate computing, therefore improves the automatic extent of the conjugate surface’s design, and widens its compliant range.
The crown gear coupling is a movable rigid coupling with excellent performance, and also is an the important assembly unit of mechanical transmission, which can compensate the radial, axial, angle and compositive displacement, and has the extensive applicable foreground in the mechanical equipments of metallurgy, mining, chemical engineering,
hoisting, transportation and so on. But the crown gear coupling lacks the systemic theory and reliable design reference, therefore it has the important theoretical significance and practical value to wholly and deeply study its driving medium in the theoretical and experimental aspects.
Based on the conjugate surface theory and meshing principle, this dissertation establishes the transmission theory and analysis strategy of the crown gear coupling. It entirely studies the mechanics performance of the crown gear coupling, such as the meshing state of many pairs of teeth, statics, dynamics, contact strength, bending strength, and so on; carries through the meshing experiment of many pairs of teeth and the pre-alarm experiment of tooth-face crack damage with the crown gear coupling by use of the special experiment rig of the crown gear coupling designed selves. After the theoretical and experimental research, some valuable conclusions on the transmission device are first gained, which give birth to the significant influence and effect on the future design ideas of the transmission component.
本文提出的共轭曲面的数字化方法和求解理论,是对传统解析共轭理论的突破和发展,其特征就在于抛开传统共轭曲面理论的繁琐推导与变换,仅借用其共轭条件的构架关系,利用数字方法,借助于计算机即可解决共轭曲面理论中的各种问题。它不但能解决数字化曲面的共轭求解问题,也可解决解析曲面的共轭求解问题,实现了“全数字化”的求解过程,使得已知曲面的坐标点测量、共轭曲面求解和共轭曲面的数控加工成为一个衔接紧密的有机整体。
本文采用Visual C++完成数据的初始处理和人机界面,用MATLAB完成共轭曲面求解中的计算问题,即采用前台VC、后台MATLAB的工作方式,首次开发出了数字化共轭曲面求解软件Conjugater1.0,应用该软件可求到与任意数字母曲面Σ 1相共轭的数字曲面Σ 2。该系统具有较强的适应性,通过修改输入参数就可以实现多种形式的共轭计算,由此可提高共轭曲面设计的自动化程度,拓宽其适用范围。
鼓形齿联轴器是一种性能优良的可移式刚性联轴器,是机械传动的重要部件 ,它能够补偿两轴间径向、轴向、角度及其综合位移,在冶金、采矿、化工、起重、运输等机械设备中具有广泛的应用前景。但鼓形齿联轴器缺乏系统的理论和可靠的设计依据,因此,从理论和实验两方面对该传动件进行全面深入地综合研究,具有很强的理论意义和实用价值。
本文根据共轭曲面理论和啮合原理,创立了共轭鼓形齿联轴器的传动理论和分析策略。对鼓形齿联轴器传动的多齿啮合状态、静力学、动力学、接触强度和弯曲强度等力学特性进行了全面研究;利用自行设计的鼓形齿联轴器专用台架实验装置,进行了鼓形齿联轴器多齿啮合实验和齿面裂纹破坏预警实验。通过理论与实验研究,首次得到了该传动装置的一些有价值的结论,这些结论将对该传动件今后的设计思想产生较大的影响和作用。
Along with the development of digitized design and machining, the conjugate theory of analytic surface is not able to satisfy the needs of modern design and manufacturing technology. Therefore, it is urgent to study the digitized method of conjugate surface based on discrete theory, and construct its theoretical system in order to establish the theoretical foundation for the conjugate generating machining of digitized surface.
This dissertation proposes the digital conjugate surface principle and computing theory in order to solve all kinds of problems of conjugate surface theory by use of the conjugate condition via the digital computer, which break through and develop the traditional analytic conjugate theory, and discard the redundancy deduction and transform of the traditional theory. It not only be used to solve the problems of digitized original surfaces, but also solve the problems of analytic original surfaces, and really realizes the digitized analysis of the conjugate surface. This method makes the coordinate measure of the given surface, the resolution and the numerical control machining of the conjugate surface be the tight entirety.
This dissertation adopts Visual C++ to complete the original data disposal and interactive interface, and adopts MATLAB to complete the computing of the conjugate surface, that is to say, adopts the foreground VC and background MATLAB to first develops the software Conjugater1.0 solving the digitized conjugate surfaceΣ 2 corresponding to the arbitrary original surfacesΣ 1. This system has the stronger adaptability to realize the various conjugate computing, therefore improves the automatic extent of the conjugate surface’s design, and widens its compliant range.
The crown gear coupling is a movable rigid coupling with excellent performance, and also is an the important assembly unit of mechanical transmission, which can compensate the radial, axial, angle and compositive displacement, and has the extensive applicable foreground in the mechanical equipments of metallurgy, mining, chemical engineering,
hoisting, transportation and so on. But the crown gear coupling lacks the systemic theory and reliable design reference, therefore it has the important theoretical significance and practical value to wholly and deeply study its driving medium in the theoretical and experimental aspects.
Based on the conjugate surface theory and meshing principle, this dissertation establishes the transmission theory and analysis strategy of the crown gear coupling. It entirely studies the mechanics performance of the crown gear coupling, such as the meshing state of many pairs of teeth, statics, dynamics, contact strength, bending strength, and so on; carries through the meshing experiment of many pairs of teeth and the pre-alarm experiment of tooth-face crack damage with the crown gear coupling by use of the special experiment rig of the crown gear coupling designed selves. After the theoretical and experimental research, some valuable conclusions on the transmission device are first gained, which give birth to the significant influence and effect on the future design ideas of the transmission component.
引文
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