行星齿环式无游梁抽油机的理论分析及设计
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摘要
行星齿环式无游梁抽油机是一种新型的无游梁抽油机。行星齿环换向机构是该抽油机的核心部件,该机构主要由左右两个半内齿轮和上下两根齿条构成的齿环滑块和行星轮组成,行星轮分别于半内齿轮和齿条啮合,将驱动该传动机构做直线往复运动。
本文在先期研究的基础上对行星齿环式无游梁抽油机进行了更加深入的研究。建立了详细的行星齿环换向机构运动学分析模型;建立了该机构中主要零部件的受力分析模型;并对机构参数进行了优化设计。具体内容如下:
齿环滑块的速度是衡量抽油机效率的重要指标,齿环滑块的加速度是评价该传动机构运动性能的关键指标。在分析行星轮与内齿环各段啮合情况的基础上,建立了行星齿环换向机构中齿环滑块的速度和加速度计算模型。
系杆的角速度和角加速度是计算系杆刚度的重要依据。在分析行星轮与内齿环各段啮合情况的基础上,建立了行星齿环换向机构中系杆的角速度和角加速度计算模型。
使用MATLAB完成了运动学的仿真分析。在此基础上,讨论了机构参数对齿环滑块的速度和加速度、系杆的角速度和角加速度的影响。行星轮与左右两个半内齿轮啮合时,属于不同的传动形式。当行星轮与右半内齿轮啮合时,齿环滑块的速度和加速度、系杆的角速度和角加速度的变化过程比较简单平稳;当行星轮与左半内齿轮啮合时,齿环滑块的速度和加速度、系杆的角速度和角加速度的变化过程就要复杂得多。
在该机构运动学分析的基础上,分析了行星轮与内齿环各段啮合时,齿环滑块和系杆的受力情况,建立了系杆刚度的计算模型和刚度条件。这将为设计系杆的截面形状和尺寸提供了重要的依据。
在以上分析的基础上,以齿环滑块起始点的加速度及其换向过程中加速度的变化范围最小为目标建立了行星齿环机构的优化数学模型,使用MATLAB优化工具箱,对机构参数进行了优化设计,并给出了求解实例。
通过研究,证实行星齿环式无游梁抽油机是一种结构简单、使用安全可靠、维护方便且能实现长冲程、大排量、重负荷的新型节能抽油机,齿环滑块可以做成组装的形式,因此行星齿环式无游梁抽油机的冲程长度可以根据生产实际情况而进行灵活的调节,以满足生产的需要。
The non-beam pumping unit of planetary gear-ring type is a kind of new non-beam pumping unit. The planetary gear-ring inverse mechanism is the core component of non-beam pumping unit of planetary gear-ring type, this mechanism is mainly made up of a planetary gear and a inner gear-ring slider consisting of two semi-internal gears and two racks, the planetary gear meshes respectively with the semi-internal gears and racks and drives this mechanism to reciprocate linearly.
In this thesis, the author performed further study on the non-beam pumping unit of planetary gear-ring type based on the previous study. The kinematic analysis model has set up for planetary gear-ring inverse mechanism. The mechanical force analysis was also set up for main components of the body.And the optimization design of the mechanisim parameters has been established. Details as follows:
The velocity of the slider is the important indicator to measure the efficiency of this pumping unit, and the acceleration of the slider is the key indicator to evaluate the performance of the this mechanism. Based on the meshing analysis of planetary gear and inner gear-ring, the velocity and acceleration calculation model of the slider is established.
The angular velocity and angular acceleration of the rod are important basis to calculate the rigidity of the rod. Based on the meshing analysis of planetary gear and inner gear-ring, the angular velocity and angular acceleration calculation model of the rod is established.
The simulation of the kinematics was accomplished in MATLAB. And based on this condition, there is a discussion on the effect to the slider’s velocity, acceleration, and rod’s angular velocity and angular acceleration caused by mechanism parameters. This mechanism are different transmission forms when the planetary gear meshing with the two semi-internal gears. The change process of the slider’s speed, acceleration, and rod’s angular velocity and angular acceleration is relatively simple and stable when the planetary gear meshing with the right semi-internal gear, but the change process of the slider’s velocity and acceleration, and rod’s angular velocity and angular acceleration is much more complex when the planetary gear meshing with the left semi-internal gear.
Based on the kinematic analysis of the planetary gear-ring inverse mechanism, the mechanical force analysis model of the slider and rod is established when planetary gear meshing with the inner gear-ring. And rigidity calculation model and rigidity condition of the rod is also established here. It provides an important calculate basis for design section shape and size of the rod.
Based on the analysis above, the optimization design of the planetary gear-ring inverse mechanism is put forward which the minimum acceleration change range and the starting point of the drive are taken into consideration, by using the MATLAB optimization toolbox, the mechanism parameters were optimized , and examples of the solution is given.
Through the research, the author confirmed that the non-beam pumping unit of planetary gear-ring type is simple in structure, reliable in use, and convenient in maintainability. Furthermore, it is of high performance, resulting from long stroke, large displacement and heavy load pumping unit, the gear-ring slider can be assembled, so resulting in a flexible adjustment of the stroke according to the actual situation of production for meet the needs of production
本文在先期研究的基础上对行星齿环式无游梁抽油机进行了更加深入的研究。建立了详细的行星齿环换向机构运动学分析模型;建立了该机构中主要零部件的受力分析模型;并对机构参数进行了优化设计。具体内容如下:
齿环滑块的速度是衡量抽油机效率的重要指标,齿环滑块的加速度是评价该传动机构运动性能的关键指标。在分析行星轮与内齿环各段啮合情况的基础上,建立了行星齿环换向机构中齿环滑块的速度和加速度计算模型。
系杆的角速度和角加速度是计算系杆刚度的重要依据。在分析行星轮与内齿环各段啮合情况的基础上,建立了行星齿环换向机构中系杆的角速度和角加速度计算模型。
使用MATLAB完成了运动学的仿真分析。在此基础上,讨论了机构参数对齿环滑块的速度和加速度、系杆的角速度和角加速度的影响。行星轮与左右两个半内齿轮啮合时,属于不同的传动形式。当行星轮与右半内齿轮啮合时,齿环滑块的速度和加速度、系杆的角速度和角加速度的变化过程比较简单平稳;当行星轮与左半内齿轮啮合时,齿环滑块的速度和加速度、系杆的角速度和角加速度的变化过程就要复杂得多。
在该机构运动学分析的基础上,分析了行星轮与内齿环各段啮合时,齿环滑块和系杆的受力情况,建立了系杆刚度的计算模型和刚度条件。这将为设计系杆的截面形状和尺寸提供了重要的依据。
在以上分析的基础上,以齿环滑块起始点的加速度及其换向过程中加速度的变化范围最小为目标建立了行星齿环机构的优化数学模型,使用MATLAB优化工具箱,对机构参数进行了优化设计,并给出了求解实例。
通过研究,证实行星齿环式无游梁抽油机是一种结构简单、使用安全可靠、维护方便且能实现长冲程、大排量、重负荷的新型节能抽油机,齿环滑块可以做成组装的形式,因此行星齿环式无游梁抽油机的冲程长度可以根据生产实际情况而进行灵活的调节,以满足生产的需要。
The non-beam pumping unit of planetary gear-ring type is a kind of new non-beam pumping unit. The planetary gear-ring inverse mechanism is the core component of non-beam pumping unit of planetary gear-ring type, this mechanism is mainly made up of a planetary gear and a inner gear-ring slider consisting of two semi-internal gears and two racks, the planetary gear meshes respectively with the semi-internal gears and racks and drives this mechanism to reciprocate linearly.
In this thesis, the author performed further study on the non-beam pumping unit of planetary gear-ring type based on the previous study. The kinematic analysis model has set up for planetary gear-ring inverse mechanism. The mechanical force analysis was also set up for main components of the body.And the optimization design of the mechanisim parameters has been established. Details as follows:
The velocity of the slider is the important indicator to measure the efficiency of this pumping unit, and the acceleration of the slider is the key indicator to evaluate the performance of the this mechanism. Based on the meshing analysis of planetary gear and inner gear-ring, the velocity and acceleration calculation model of the slider is established.
The angular velocity and angular acceleration of the rod are important basis to calculate the rigidity of the rod. Based on the meshing analysis of planetary gear and inner gear-ring, the angular velocity and angular acceleration calculation model of the rod is established.
The simulation of the kinematics was accomplished in MATLAB. And based on this condition, there is a discussion on the effect to the slider’s velocity, acceleration, and rod’s angular velocity and angular acceleration caused by mechanism parameters. This mechanism are different transmission forms when the planetary gear meshing with the two semi-internal gears. The change process of the slider’s speed, acceleration, and rod’s angular velocity and angular acceleration is relatively simple and stable when the planetary gear meshing with the right semi-internal gear, but the change process of the slider’s velocity and acceleration, and rod’s angular velocity and angular acceleration is much more complex when the planetary gear meshing with the left semi-internal gear.
Based on the kinematic analysis of the planetary gear-ring inverse mechanism, the mechanical force analysis model of the slider and rod is established when planetary gear meshing with the inner gear-ring. And rigidity calculation model and rigidity condition of the rod is also established here. It provides an important calculate basis for design section shape and size of the rod.
Based on the analysis above, the optimization design of the planetary gear-ring inverse mechanism is put forward which the minimum acceleration change range and the starting point of the drive are taken into consideration, by using the MATLAB optimization toolbox, the mechanism parameters were optimized , and examples of the solution is given.
Through the research, the author confirmed that the non-beam pumping unit of planetary gear-ring type is simple in structure, reliable in use, and convenient in maintainability. Furthermore, it is of high performance, resulting from long stroke, large displacement and heavy load pumping unit, the gear-ring slider can be assembled, so resulting in a flexible adjustment of the stroke according to the actual situation of production for meet the needs of production
引文
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