内啮合齿轮泵啮合特性分析及CAD技术研究
摘要
内啮合齿轮泵是液压传动与控制、介质输送、计量等领域中的重要装备,具有体积小,重量轻,噪声低,自吸性好,流量脉动小等优点,广泛应用于石油化工、航空、船舶、能源等国民经济的重要领域。但由于内啮合摆线齿轮泵齿廓形状复杂,加工较为困难,我国内啮合摆线齿轮泵的研究和开发较为落后。随着科学技术的不断发展和应用,一些新的研发技术应运而生,作为设计、开发新产品的重要手段,CAD和CAE技术对内啮合摆线齿轮泵的研发起到了很大的推进作用。本文以内啮合少齿差摆线齿轮泵为研究对象,利用啮合理论、CAD/CAE等技术对内啮合摆线齿轮泵的啮合特性、齿根应力影响因素、轮齿齿廓参数化绘图等方面进行了较系统的研究,而这些工作正是开发内啮合摆线齿轮泵的基础和关键。本文所做的工作主要有:
(1)根据内啮合摆线齿轮泵的啮合特点,利用啮合理论推导了摆线轮的齿廓方程,对啮合界限、重合度等啮合特性进行了分析,讨论了齿根过渡曲线的构造方法,并利用数值计算等方法得出理论齿廓各段的有效范围,完善了内啮合摆线泵的设计理论和方法。
(2)在对内啮合摆线齿轮的齿廓方程和齿根过渡圆弧分析的基础上,利用Visual Basic语言开发了泵齿轮齿廓的自动生成程序,实现了完整齿廓的参数化绘制,所生成的齿廓坐标点和三维实体图为摆线轮的数控加工和强度分析打下了基础。
(3)基于内啮合摆线泵轮齿少齿数、大模数等特点,应用SolidWorks和ZRCAE平台建立了轮齿的CAE分析模型,分析了齿根圆弧类型、圆角半径等因素对轮齿齿根应力的影响。
(4)根据摆线泵的啮合特点,对内啮合摆线齿轮泵的流量特性进行了分析,推导了瞬时流量的计算公式,建立了流量脉动率的理论计算模型,提高了设计分析精度。
(5)在保证内啮合齿轮泵正常传动、强度、齿形限制等条件下,以泵单位体积的排量最大等为设计目标,建立摆线泵的优化设计模型,并通过VisualBasic编程,实现了内啮合摆线齿轮泵几何参数的优化设计。
Internal meshing gear pump is the important equipment in hydraulic drive and control, media transmission, metering, and other fields, because its advantage of small size, light weight, low noise, self-absorption, good flow pulse and so on, it is widely used in petrochemical, aviation, shipping, energy industry and other important areas of the national economy. However, machining is more difficult due to its complex tooth profile, the domestic research and development are behindhand. With the continuous development of science technology and application, some new research and development technologies have emerged. As the important means of designing and developing new products, CAD and CAE technologies have played a significant role in the promotion for research and development of internal cycloidal gear pump. The meshing characteristics, tooth root stress analysis, wheel tooth profile parametric drawing are systematically studied in this paper, these researches are the basis and the key to develop internal cycloidal gear pump. The main researches done in this paper are:
(1) Based on the meshing characteristic of internal cycloidal gear pump and meshing theory, the tooth profile equation of cycloidal gear is derived, the meshing characteristics such as meshing limit, contact ratio and so on are analyzed, the construction method of fillet curve is discussed, the effective range of theoretical tooth profile is obtained based on the numerical calculation, the design theory and method of the internal cycloidal gear pump are improved.
(2) Based on the analysis of tooth profile equation and the fillet radius, the program of parametric drawing for the complete tooth profile of cycloidal gear is developed, the coordinate points of tooth profile and 3D modeling generated by the program contribute the foundation of NC machining and stress analysis.
(3) Aimed at the features of less teeth and large module of internal cycloidal gear, using SolidWorks and ZRCAE platform, the CAE model of cycloidal gear is established, the effects on root stress of the fillet arc type, fillet radius and hydraulic pressure are analyzed.
(4) Based on the meshing characteristics, the flow characteristics of internal cycloidal gear pump are analyzed, the formula calculating the instantaneous flow is derived, theoretical model of flow pulse rate is established, the design and analysis precision of internal cycloidal gear pump is improved.
(5) Subjected to the meshing conditions, strength requirement, tooth profile restrictions of internal gear, an objective function maximizing disposition volume is established in this paper, the optimal design of geometric parameters of the gear pump is achieved through the Visual Basic programming.
(1)根据内啮合摆线齿轮泵的啮合特点,利用啮合理论推导了摆线轮的齿廓方程,对啮合界限、重合度等啮合特性进行了分析,讨论了齿根过渡曲线的构造方法,并利用数值计算等方法得出理论齿廓各段的有效范围,完善了内啮合摆线泵的设计理论和方法。
(2)在对内啮合摆线齿轮的齿廓方程和齿根过渡圆弧分析的基础上,利用Visual Basic语言开发了泵齿轮齿廓的自动生成程序,实现了完整齿廓的参数化绘制,所生成的齿廓坐标点和三维实体图为摆线轮的数控加工和强度分析打下了基础。
(3)基于内啮合摆线泵轮齿少齿数、大模数等特点,应用SolidWorks和ZRCAE平台建立了轮齿的CAE分析模型,分析了齿根圆弧类型、圆角半径等因素对轮齿齿根应力的影响。
(4)根据摆线泵的啮合特点,对内啮合摆线齿轮泵的流量特性进行了分析,推导了瞬时流量的计算公式,建立了流量脉动率的理论计算模型,提高了设计分析精度。
(5)在保证内啮合齿轮泵正常传动、强度、齿形限制等条件下,以泵单位体积的排量最大等为设计目标,建立摆线泵的优化设计模型,并通过VisualBasic编程,实现了内啮合摆线齿轮泵几何参数的优化设计。
Internal meshing gear pump is the important equipment in hydraulic drive and control, media transmission, metering, and other fields, because its advantage of small size, light weight, low noise, self-absorption, good flow pulse and so on, it is widely used in petrochemical, aviation, shipping, energy industry and other important areas of the national economy. However, machining is more difficult due to its complex tooth profile, the domestic research and development are behindhand. With the continuous development of science technology and application, some new research and development technologies have emerged. As the important means of designing and developing new products, CAD and CAE technologies have played a significant role in the promotion for research and development of internal cycloidal gear pump. The meshing characteristics, tooth root stress analysis, wheel tooth profile parametric drawing are systematically studied in this paper, these researches are the basis and the key to develop internal cycloidal gear pump. The main researches done in this paper are:
(1) Based on the meshing characteristic of internal cycloidal gear pump and meshing theory, the tooth profile equation of cycloidal gear is derived, the meshing characteristics such as meshing limit, contact ratio and so on are analyzed, the construction method of fillet curve is discussed, the effective range of theoretical tooth profile is obtained based on the numerical calculation, the design theory and method of the internal cycloidal gear pump are improved.
(2) Based on the analysis of tooth profile equation and the fillet radius, the program of parametric drawing for the complete tooth profile of cycloidal gear is developed, the coordinate points of tooth profile and 3D modeling generated by the program contribute the foundation of NC machining and stress analysis.
(3) Aimed at the features of less teeth and large module of internal cycloidal gear, using SolidWorks and ZRCAE platform, the CAE model of cycloidal gear is established, the effects on root stress of the fillet arc type, fillet radius and hydraulic pressure are analyzed.
(4) Based on the meshing characteristics, the flow characteristics of internal cycloidal gear pump are analyzed, the formula calculating the instantaneous flow is derived, theoretical model of flow pulse rate is established, the design and analysis precision of internal cycloidal gear pump is improved.
(5) Subjected to the meshing conditions, strength requirement, tooth profile restrictions of internal gear, an objective function maximizing disposition volume is established in this paper, the optimal design of geometric parameters of the gear pump is achieved through the Visual Basic programming.
引文
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