多圆弧圆柱齿轮啮合点载荷分配的研究
发布时间：2019-05-16 09:10
【摘要】：圆弧齿轮作为点啮合制齿轮传动,在转动过程中不同时刻啮合点的个数和齿对数是不同的,因此其啮合点载荷分配也就不同,搞清楚相互啮合的一对齿轮齿廓之间每个啮合点的载荷大小对于提高齿轮之承载能力以及磨损等性能有重要意义,本文研究结果能为多圆弧齿轮的齿廓修形以及设计最优齿形提供理论依据,具有研究意义和价值。本文主要研究了圆弧齿轮的啮合原理以及双圆弧和四圆弧齿轮的啮合特性,依据渐开线直齿轮计算啮合刚度的方法——势能法,分析出计算圆弧齿轮啮合点处啮合刚度的方法,论文重点在于建立了一个新的力学模型,假设圆弧齿轮本体不发生变形,变形只产生于轮齿上,在此假设下,研究了圆弧齿轮啮合点载荷分配的问题。不考虑圆弧齿轮轮齿弯曲变形的条件下,经过分析,得到了圆弧齿轮啮合点处载荷分配均匀的结论;考虑圆弧齿轮轮齿弯曲变形的条件下,经过分析并通过MATLAB编程计算,总结出了关于圆弧齿轮啮合点处载荷分配的几条重要结论。具体研究内容如下:1)简化力学模型,本文假设圆弧齿轮在传递转矩的过程中齿轮本体不发生变形,则轮齿会产生两种类型的几何变形:一种是轮齿整体弯曲变形,受力状态等价一个悬臂梁。另外一种是因齿面在啮合点的接触而产生的弹性变形,称为接触变形。2)在啮合点数目不同时,圆弧齿轮力学与载荷分配研究,主要研究在不考虑弯曲变形以及考虑弯曲变形两种情况时,圆弧齿轮的力学模型建立和不同啮合点载荷分配的情况。3)运用MATLAB得出各啮合点载荷分配的数值模拟结果,给定主要参数的取值,经MATLAB运算,得出在不同情况下各啮合点载荷的数值。4)分析圆弧齿轮啮合点载荷分配与齿数、模数之间的关系,根据不同情况下各啮合点载荷的数值,总结圆弧齿轮啮合点载荷分配与齿数、模数之间的关系。
[Abstract]:Circular arc gear as a point meshing gear transmission, in the process of rotation, the number of meshing points and the number of teeth are different, so the load distribution of meshing point is also different. It is of great significance to find out the load size of each meshing point between the tooth profiles of a pair of gears engaged with each other in order to improve the bearing capacity and wear performance of gears. The results of this paper can provide a theoretical basis for the modification of tooth profile and the design of optimal tooth profile of multi-circular arc gears, and have research significance and value. In this paper, the meshing principle of circular arc gear and the meshing characteristics of double circular arc gear and four circular arc gear are studied. According to the potential energy method, which is the method of calculating meshing stiffness of involute spur gear, the method of calculating meshing stiffness at meshing point of circular arc gear is analyzed. The emphasis of this paper is to establish a new mechanical model, assuming that the circular arc gear body does not deform and the deformation only occurs on the gear teeth. Under this assumption, the problem of load distribution at the meshing point of circular arc gear is studied. Without considering the bending deformation of circular arc gear teeth, the conclusion that the load distribution at the meshing point of circular arc gear is uniform is obtained. Under the condition of considering the bending deformation of circular arc gear teeth, through analysis and MATLAB programming calculation, some important conclusions about load distribution at meshing point of circular arc gear are summarized. The specific research contents are as follows: 1) simplify the mechanical model. This paper assumes that the gear body does not deform in the process of transferring torque, then the gear teeth will produce two types of geometric deformation: one is the overall bending deformation of the gear teeth, The stress state is equivalent to a cantilever beam. The other is the elastic deformation caused by the contact of the tooth surface at the meshing point, which is called contact deformation. 2) the mechanics and load distribution of circular arc gears are studied when the number of meshing points is different. This paper mainly studies the establishment of mechanical model of circular arc gear and the load distribution of different meshing points without considering bending deformation and bending deformation. 3) the numerical simulation results of load distribution at each meshing point are obtained by using MATLAB. Given the value of the main parameters, the values of the load at each meshing point under different conditions are obtained by MATLAB operation. 4) the relationship between the load distribution at the meshing point and the number of teeth and modulus is analyzed, and according to the value of the load at each meshing point under different conditions, The relationship between load distribution and tooth number and modulus of circular arc gear meshing point is summarized.
【学位授予单位】：宁夏大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TH132.416
本文编号：2478175
[Abstract]:Circular arc gear as a point meshing gear transmission, in the process of rotation, the number of meshing points and the number of teeth are different, so the load distribution of meshing point is also different. It is of great significance to find out the load size of each meshing point between the tooth profiles of a pair of gears engaged with each other in order to improve the bearing capacity and wear performance of gears. The results of this paper can provide a theoretical basis for the modification of tooth profile and the design of optimal tooth profile of multi-circular arc gears, and have research significance and value. In this paper, the meshing principle of circular arc gear and the meshing characteristics of double circular arc gear and four circular arc gear are studied. According to the potential energy method, which is the method of calculating meshing stiffness of involute spur gear, the method of calculating meshing stiffness at meshing point of circular arc gear is analyzed. The emphasis of this paper is to establish a new mechanical model, assuming that the circular arc gear body does not deform and the deformation only occurs on the gear teeth. Under this assumption, the problem of load distribution at the meshing point of circular arc gear is studied. Without considering the bending deformation of circular arc gear teeth, the conclusion that the load distribution at the meshing point of circular arc gear is uniform is obtained. Under the condition of considering the bending deformation of circular arc gear teeth, through analysis and MATLAB programming calculation, some important conclusions about load distribution at meshing point of circular arc gear are summarized. The specific research contents are as follows: 1) simplify the mechanical model. This paper assumes that the gear body does not deform in the process of transferring torque, then the gear teeth will produce two types of geometric deformation: one is the overall bending deformation of the gear teeth, The stress state is equivalent to a cantilever beam. The other is the elastic deformation caused by the contact of the tooth surface at the meshing point, which is called contact deformation. 2) the mechanics and load distribution of circular arc gears are studied when the number of meshing points is different. This paper mainly studies the establishment of mechanical model of circular arc gear and the load distribution of different meshing points without considering bending deformation and bending deformation. 3) the numerical simulation results of load distribution at each meshing point are obtained by using MATLAB. Given the value of the main parameters, the values of the load at each meshing point under different conditions are obtained by MATLAB operation. 4) the relationship between the load distribution at the meshing point and the number of teeth and modulus is analyzed, and according to the value of the load at each meshing point under different conditions, The relationship between load distribution and tooth number and modulus of circular arc gear meshing point is summarized.
【学位授予单位】：宁夏大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TH132.416
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