含裂纹的齿轮传动系统动力学和断裂力学耦合分析
发布时间：2018-09-01 13:18
【摘要】：齿轮传动是机械传动中最普遍的一种传动机构,在实际工程中被广泛应用。齿轮在实际工作中主要用于传递运动和动力,由于承受较大的变载荷作用,所以常常会出现弯曲疲劳甚至断裂等情况。因此对齿轮传动系统进行动力学和断裂力学的研究是非常有必要的。本文是以渐开线直齿圆柱齿轮为研究对象,通过对齿轮系统的动力学研究,运用大型计算软件MATLAB计算得出齿轮在传动过程中发生在齿轮啮合面上的载荷变化等情况；然后再利用ANSYS建立齿轮齿根裂纹的二维模型,利用动力学计算的结果分析轮齿的断裂特性,对于预测齿轮剩余寿命具有显著的工程价值。 在对含裂纹的齿轮传动系统动力学的研究部分,将裂纹梁理论应用于齿轮传动的动力学分析之中,以最容易出现的齿根裂纹轮齿为研究对象,将齿轮轮齿看作是悬臂梁,建立了动力学模型,考虑沿啮合线变化的啮合时变刚度、固定阻尼系数,利用数值解法先求解无裂纹齿轮振动系统运动微分方程,从而得到一个啮合周期内的齿轮振动位移等响应。然后对含裂纹齿轮的动力学问题进行了计算机模拟,得出两者的变化情况,从而为识别系统是否出现裂纹奠定了良好基础,对齿轮传动系统的故障诊断有工程价值。 齿轮轮齿断裂力学分析,是以动力学分析为基础,利用齿轮传动系统动力学分析得到的齿面动载荷沿啮合线的变化规律及齿轮的载荷作用角,使用大型计算仿真软件ANSYS进行有限元分析计算,利用APDL语言编程来分析和计算含裂纹轮齿的动态裂纹强度因子。 在解决齿轮动力学和断裂力学耦合问题时,根据所提出的耦合研究方法,先计算出不同裂纹深度下的齿轮传动系统的动力学响应,然后利用同一裂纹深度下的动力学的计算结果分析对应的裂纹深度的裂纹尖端应力强度因子,从而得出不同的动力学结果对应的断裂力学结果的变化规律。最后根据Paris公式,利用计算出的结果,进一步分析计算了裂纹扩展的剩余寿命。 本文利用对动力学模型仿真计算出的动态载荷加载到轮齿齿面啮合线上计算裂纹的断裂特性,得出的结果更加准确,对含裂纹齿轮传动系统的故障诊断及维护具有一定的工程意义。
[Abstract]:Gear transmission is the most common transmission mechanism in mechanical transmission, which is widely used in practical engineering. Gears are mainly used to transfer motion and force in practical work. Due to the large variable load, bending fatigue and even fracture often occur. Therefore, it is necessary to study the dynamics and fracture mechanics of gear transmission system. In this paper, the involute spur gear is taken as the research object. Through the dynamics research of gear system, the load change on the meshing surface of gear occurred in the course of transmission is calculated by using the large calculation software MATLAB. Then the two-dimensional model of tooth root crack is established by ANSYS, and the fracture characteristic of gear tooth is analyzed by the result of dynamic calculation, which is of great engineering value for predicting the remaining life of gear. In the part of the research on the dynamics of the gear transmission system with cracks, the theory of cracked beam is applied to the dynamic analysis of the gear transmission. The research object is the cracked tooth of the tooth root, and the gear tooth is regarded as a cantilever beam. In this paper, a dynamic model is established, considering the time-varying stiffness and fixed damping coefficient of meshing along the meshing line, the differential equations of motion of cracked gear vibration system are first solved by numerical solution. Thus, the vibration displacement and other responses of gears in a meshing period are obtained. Then the dynamic problem of gear with crack is simulated by computer, and the change of both is obtained, which lays a good foundation for the identification of crack or not, and has engineering value for the fault diagnosis of gear transmission system. The fracture mechanics analysis of gear teeth is based on the dynamic analysis, which is based on the dynamic analysis of the gear transmission system. The dynamic load along the meshing line and the load action angle of the gear are obtained from the dynamic analysis of the gear transmission system. The finite element analysis and calculation are carried out by using the large-scale computer simulation software ANSYS, and the dynamic crack intensity factor of the cracked gear teeth is analyzed and calculated by APDL programming. In order to solve the coupling problem between gear dynamics and fracture mechanics, the dynamic response of gear transmission system with different crack depths is first calculated according to the proposed coupling research method. Then the stress intensity factor of crack tip corresponding to crack depth is analyzed by using the dynamic calculation results at the same crack depth, and the variation law of fracture mechanics results corresponding to different dynamic results is obtained. Finally, according to the Paris formula and the calculated results, the residual life of crack propagation is further analyzed and calculated. In this paper, the dynamic load calculated by the dynamic model is applied to the meshing line of the gear tooth surface to calculate the fracture characteristics of the crack, and the results are more accurate. It has certain engineering significance for fault diagnosis and maintenance of gear transmission system with cracks.
【学位授予单位】：安徽工程大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41
本文编号：2217319
[Abstract]:Gear transmission is the most common transmission mechanism in mechanical transmission, which is widely used in practical engineering. Gears are mainly used to transfer motion and force in practical work. Due to the large variable load, bending fatigue and even fracture often occur. Therefore, it is necessary to study the dynamics and fracture mechanics of gear transmission system. In this paper, the involute spur gear is taken as the research object. Through the dynamics research of gear system, the load change on the meshing surface of gear occurred in the course of transmission is calculated by using the large calculation software MATLAB. Then the two-dimensional model of tooth root crack is established by ANSYS, and the fracture characteristic of gear tooth is analyzed by the result of dynamic calculation, which is of great engineering value for predicting the remaining life of gear. In the part of the research on the dynamics of the gear transmission system with cracks, the theory of cracked beam is applied to the dynamic analysis of the gear transmission. The research object is the cracked tooth of the tooth root, and the gear tooth is regarded as a cantilever beam. In this paper, a dynamic model is established, considering the time-varying stiffness and fixed damping coefficient of meshing along the meshing line, the differential equations of motion of cracked gear vibration system are first solved by numerical solution. Thus, the vibration displacement and other responses of gears in a meshing period are obtained. Then the dynamic problem of gear with crack is simulated by computer, and the change of both is obtained, which lays a good foundation for the identification of crack or not, and has engineering value for the fault diagnosis of gear transmission system. The fracture mechanics analysis of gear teeth is based on the dynamic analysis, which is based on the dynamic analysis of the gear transmission system. The dynamic load along the meshing line and the load action angle of the gear are obtained from the dynamic analysis of the gear transmission system. The finite element analysis and calculation are carried out by using the large-scale computer simulation software ANSYS, and the dynamic crack intensity factor of the cracked gear teeth is analyzed and calculated by APDL programming. In order to solve the coupling problem between gear dynamics and fracture mechanics, the dynamic response of gear transmission system with different crack depths is first calculated according to the proposed coupling research method. Then the stress intensity factor of crack tip corresponding to crack depth is analyzed by using the dynamic calculation results at the same crack depth, and the variation law of fracture mechanics results corresponding to different dynamic results is obtained. Finally, according to the Paris formula and the calculated results, the residual life of crack propagation is further analyzed and calculated. In this paper, the dynamic load calculated by the dynamic model is applied to the meshing line of the gear tooth surface to calculate the fracture characteristics of the crack, and the results are more accurate. It has certain engineering significance for fault diagnosis and maintenance of gear transmission system with cracks.
【学位授予单位】：安徽工程大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41
【参考文献】
相关期刊论文 前1条
1 郭宏威;王玉洁;高雅丽;;关于齿轮轮齿断裂原因的新探讨[J];汽车工艺;1991年05期
相关硕士学位论文 前1条
1 陈银强;圆柱体表面椭圆裂纹应力强度因子的有限元分析和研究[D];武汉工程大学;2006年
，本文编号：2217319
本文链接：https://www.wllwen.com/kejilunwen/jixiegongcheng/2217319.html
