CN108563831B - An optimization method for transmission precision of RV reducer - Google Patents
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Abstract
一种RV减速器传动精度的优化方法,包括以下步骤:确定RV减速器传动精度的影响因素,包括零件误差、零件配合间隙、工作载荷;结合影响因素构建正交试验方案;采用三维建模软件CREO与多体动力学仿真软件ADAMS依据正交试验方案构建虚拟样机实验组;在仿真软件Adams中测量各虚拟样机实验组的传动误差;对正交试验结果进行分析;将正交试验结果数据作为BP神经网络的输入端数据,进行最优组合的预测。
An optimization method for transmission accuracy of an RV reducer comprises the following steps: determining influencing factors of transmission accuracy of the RV reducer, including component error, component matching clearance and working load; constructing an orthogonal test scheme in combination with the influencing factors; using three-dimensional modeling software CREO and multi-body dynamics simulation software ADAMS to construct a virtual prototype experimental group according to the orthogonal test scheme; measuring the transmission error of each virtual prototype experimental group in the simulation software Adams; analyzing the orthogonal test results; and using the orthogonal test result data as input end data of a BP neural network to predict the optimal combination.
Description
技术领域technical field
本发明涉及高精度机器人RV减速器传动精度优化方法。The invention relates to a method for optimizing the transmission accuracy of a high-precision robot RV reducer.
背景技术Background technique
由于RV减速器零部件制造误差、装配误差以及传动过程中温度变形和弹性变形的存在,输入输出转角误差在所难免。转角误差是指输出轴实际转角与理论转角之间的偏差值,是评价RV减速器传动精度的重要指标。RV减速器的应用领域多为传动精度要求较高的精密传动装置,比如机器人、雷达、精密机床等,为了保证传动装置在多次完成相同周期的运动时其位置间的精确性,RV减速器必须有较高的传动精度。Due to the manufacturing errors and assembly errors of the RV reducer parts, as well as the existence of temperature deformation and elastic deformation in the transmission process, the input and output rotation angle errors are unavoidable. Rotation angle error refers to the deviation between the actual rotation angle of the output shaft and the theoretical rotation angle, and is an important indicator for evaluating the transmission accuracy of the RV reducer. The application fields of RV reducer are mostly precision transmission devices that require high transmission accuracy, such as robots, radars, precision machine tools, etc. In order to ensure the accuracy of the position of the transmission device when it completes the same cycle of motion multiple times, RV reducer Must have high transmission accuracy.
随着机器人的广泛应用,RV减速器的相关研究愈来愈受关注,尤其是传动精度的优化问题。RV减速器零部件众多且加工精度要求较高,限于加工制造成本的要求,在进行传动精度的优化时,各零部件制造误差、配合误差难以逐一优化,所以区分各误差项对RV减速器传动精度的影响敏感度是合理提高RV减速器传动精度的前提。根据RV减速器传动精度影响因素的影响敏感度,结合生产加工成本才能实现对RV减速器传动精度较为精益地提高。With the widespread application of robots, more and more attention has been paid to the research on RV reducers, especially the optimization of transmission accuracy. There are many parts of RV reducer and the requirements for processing accuracy are high, which is limited to the requirements of processing and manufacturing costs. When optimizing the transmission accuracy, it is difficult to optimize the manufacturing error and matching error of each part one by one. The sensitivity to the influence of precision is the premise to reasonably improve the transmission precision of RV reducer. According to the sensitivity of the factors affecting the transmission accuracy of the RV reducer, combined with the production and processing costs, the transmission accuracy of the RV reducer can be improved leanly.
采用人工测量并进行实验的方式去研究RV减速器传动精度的问题时,不可避免地会产生测量误差,随着误差的不断累积,研究结果的准确性难以保证,且实验成本高、周期长。虚拟样机技术的运用恰好解决了这个问题,采用三维建模软件根据零件误差进行三维模型的构建,并将模型导入仿真软件进行运动仿真,排除了其他噪声因子的影响,提高了实验的准确性、节省了实验成本、缩短了实验周期。When using manual measurement and experiments to study the transmission accuracy of RV reducers, measurement errors will inevitably occur. With the accumulation of errors, the accuracy of the research results is difficult to guarantee, and the experiment cost is high and the cycle is long. The application of virtual prototyping technology just solved this problem. The three-dimensional modeling software was used to construct the three-dimensional model according to the part error, and the model was imported into the simulation software for motion simulation, which eliminated the influence of other noise factors and improved the accuracy of the experiment. The experiment cost is saved and the experiment cycle is shortened.
发明内容Contents of the invention
本发明所要解决RV减速器传动精度优化过程中难以区分零件误差、零件配合间隙、工作载荷等影响因素对RV减速器传动精度的影响程度,且RV减速器零部件众多加工精度较高,人工试验难以找出传动精度最优组合的缺点,提供一种基于虚拟样机技术和BP神经网络的RV减速器传动精度的优化方法。The present invention aims to solve the problem that it is difficult to distinguish the degree of influence of factors such as part error, part fit clearance, and working load on the transmission accuracy of the RV reducer in the process of optimizing the transmission accuracy of the RV reducer. It is difficult to find out the shortcomings of the optimal combination of transmission accuracy, and an optimization method for RV reducer transmission accuracy based on virtual prototype technology and BP neural network is provided.
为了解决上述技术问题,本发明提供了一种基于虚拟样机技术和BP神经网络的RV减速器传动精度的优化方法,包括以下步骤:In order to solve the above-mentioned technical problems, the present invention provides a method for optimizing the transmission accuracy of the RV speed reducer based on virtual prototype technology and BP neural network, comprising the following steps:
S1、确定RV减速器传动精度的影响因素,主要包括零件误差、零件配合间隙、工作载荷三个方面;S1. Factors affecting the transmission accuracy of the RV reducer mainly include three aspects: part error, part fit clearance, and working load;
S11、选取RV40-E型减速器为研究对象,根据零部件传动关系选取若干零件误差为试验因素;S11. Select the RV40-E type reducer as the research object, and select some part errors as the test factors according to the transmission relationship of the parts;
S12、对RV减速机中零件间隙对传动精度的影响关系进行分析,选取较为主要的几个零件配合间隙为试验因素;S12. Analyze the influence relationship between the clearance of parts in the RV reducer and the transmission accuracy, and select the matching clearance of several major parts as the test factor;
S2、结合影响因素构建正交试验方案;S2. Combining the influencing factors to construct an orthogonal test plan;
S3、采用三维建模软件CREO与多体动力学仿真软件ADAMS依据正交试验方案构建虚拟样机实验组;S3. Using the 3D modeling software CREO and the multi-body dynamics simulation software ADAMS to construct a virtual prototype experiment group according to the orthogonal test plan;
S31、采用三维建模软件CREO根据正交试验方案中零件误差建立RV减速器虚拟样机模型,由于ADAMS中难以构建复杂的三维模型,所以采用CREO根据正交试验方案建立RV减速器虚拟样机实验组,建模过程中对部分零部件进行简化,在CREO中建立摆线方程获得摆线轮齿廓曲线,摆线方程如下:S31. Use the 3D modeling software CREO to establish the virtual prototype model of the RV reducer according to the part error in the orthogonal test plan. Since it is difficult to build a complex 3D model in ADAMS, use CREO to establish the RV reducer virtual prototype experimental group according to the orthogonal test plan , some parts are simplified during the modeling process, and the cycloidal equation is established in CREO to obtain the cycloidal gear profile curve. The cycloidal equation is as follows:
其中rz为针齿中心圆半径,zb为针齿齿数,rzz为针齿半径,za为摆线轮齿数,e为偏心距,drz为移距修行量,drzz为等距修行量;Among them, rz is the radius of the center circle of the pin tooth, zb is the number of pin teeth, rzz is the radius of the pin tooth, za is the number of cycloidal gear teeth, e is the eccentricity, drz is the distance training amount, and drzz is the equidistant practice amount;
通过方程绘制完整摆线轮的半个齿廓,然后通过镜像、阵列、拉伸命令便可得出摆线轮三维模型,其他实体模型的建立方法与此相似。将所有零件实体模型进行装配,随后对装配体进行无干涉检验,确定装配正确无零件干涉后将装配体保存为CREO与ADAMS中间文件格式parasolid(*.x_t)。The half-tooth profile of the complete cycloidal gear is drawn through the equation, and then the three-dimensional model of the cycloidal gear can be obtained through the mirror image, array, and stretch commands. The establishment method of other solid models is similar to this. Assemble all the solid models of the parts, and then conduct a non-interference inspection on the assembly, and save the assembly as the CREO and ADAMS intermediate file format parasolid (*.x_t) after confirming that the assembly is correct and there is no part interference.
S32、将虚拟样机模型导入到多体动力学仿真软件进行材料特性的定义;通过File/Import命令将中间格式的模型文件导入ADAMS软件,并进行零部件材料的定义,基于ADAMS接触碰撞理论,零件接触碰撞时产生的弹性变形也会对RV减速器回转误差有所影响,所以添加模型各零件的弹性模量、密度、泊松比等材料特性。S32. Import the virtual prototype model into the multi-body dynamics simulation software to define the material properties; import the model file in the intermediate format into the ADAMS software through the File/Import command, and define the material of the parts. Based on the ADAMS contact collision theory, the parts The elastic deformation generated during contact and collision will also affect the rotation error of the RV reducer, so the elastic modulus, density, Poisson's ratio and other material properties of each part of the model are added.
S33、在ADAMS中对虚拟样机添加约束关系;为保证各零部件相对运动的正确性,构建虚拟样机也需要根据零部件运动轨迹提供约束或接触关系,通过RV减速器零部件的运动和接触分析,确定各零部件约束、接触关系。S33. Add constraints to the virtual prototype in ADAMS; in order to ensure the correctness of the relative motion of each component, the construction of the virtual prototype also needs to provide constraints or contact relationships according to the trajectory of the components, through the motion and contact analysis of the RV reducer components , to determine the constraints and contact relationships of each component.
S34、对虚拟样机进行仿真,验证所构建的模型是否正确;测量输入轴、行星架转速两者比值与RV减速器理论传动比进行比较,验证模型是否准确。S34. Simulate the virtual prototype to verify whether the constructed model is correct; measure the ratio between the input shaft and the planet carrier speed and compare it with the theoretical transmission ratio of the RV reducer to verify whether the model is accurate.
S4、在仿真软件Adams中测量各虚拟样机实验组的传动误差;S4, measure the transmission error of each virtual prototype experimental group in the simulation software Adams;
选取回转误差为传动精度的评价指标,所选RV减速器试验模型传动比为121,根据回转误差计算公式The rotation error is selected as the evaluation index of the transmission accuracy, the transmission ratio of the selected RV reducer test model is 121, according to the calculation formula of the rotation error
式中,为转角误差;为输入轴(即太阳轮)输入转角;为输出轴(即行星架)实际转角;i为减速器传动比。In the formula, is the corner error; Enter the rotation angle for the input shaft (i.e. the sun gear); is the actual rotation angle of the output shaft (that is, the planet carrier); i is the transmission ratio of the reducer.
在ADAMS中对输入轴、输出架的转角进行实时测量,输出两者转角曲线如图5(a)、(b)所示。建立测量函数In ADAMS, the rotation angles of the input shaft and the output rack are measured in real time, and the output curves of the rotation angles are shown in Figure 5(a) and (b). Create a measurement function
FUNCTION=.JOINT_1_MEA_1/121—.JOINT_16_MEA_1式中,FUNCTION为实际输出转角与理论输出转角的差值,即回转误差;JOINT_1_MEA_1为输入轴转动副转角;.JOINT_16_MEA_1为行星架转动副转角。FUNCTION=.JOINT_1_MEA_1/121—.JOINT_16_MEA_1 In the formula, FUNCTION is the difference between the actual output rotation angle and the theoretical output rotation angle, that is, the rotation error; JOINT_1_MEA_1 is the rotation angle of the input shaft; .JOINT_16_MEA_1 is the rotation angle of the planet carrier.
根据正交实验表分别建立虚拟样机模型并导入ADAMS仿真,测得各组回转误差,完善正交试验结果表。According to the orthogonal test table, the virtual prototype model is established and imported into ADAMS for simulation, the rotation error of each group is measured, and the orthogonal test result table is perfected.
S5、对正交试验结果进行分析;S5, analyzing the results of the orthogonal test;
对正交试验结果进行性极差分析,极差分析即使用数据极差来分析问题,通过对比各实验结果的平均极差,找出影响试验指标的主要因子。其原理是在考虑单因子A对结果的影响时,认为其它因子对结果的影响是均衡的,A因子各水平的差异是由于A因子本身引起的。极差越大,说明该因子对实验指标的影响越大,各因素的极差R下列公式计算得到。Carry out a range analysis on the results of the orthogonal test. The range analysis uses the data range to analyze the problem. By comparing the average range of the experimental results, the main factors affecting the test indicators are found. The principle is that when considering the influence of a single factor A on the result, the influence of other factors on the result is considered to be balanced, and the differences in the levels of the A factor are caused by the A factor itself. The larger the range, the greater the influence of the factor on the experimental index. The range R of each factor is calculated by the following formula.
R=max{ki}-min{ki}R=max{k i }-min{k i }
T=∑ki T=∑k i
式中,R为极差;i为因素的水平数;ki为i水平时所对应的回转误差之和的均值;Ki为i水平时所对应的回转误差之和;n为任一列上各水平出现的次数;T为回转误差之和;In the formula, R is the range; i is the level number of the factor; k i is the mean value of the sum of the rotation errors corresponding to the i level; K i is the sum of the rotation errors corresponding to the i level; The number of occurrences of each level; T is the sum of rotation errors;
根据各影响因素极差大小得出RV减速器动态回转误差各因素影响灵敏度程度从大到小序列与因子水平最佳组合。According to the extreme difference of each influencing factor, the optimal combination of the sensitivity degree of each factor affecting the dynamic rotation error of RV reducer from large to small sequence and factor level is obtained.
S6、将正交试验结果数据作为BP神经网络的输入端数据,进行最优组合的预测。S6. Using the orthogonal test result data as the input end data of the BP neural network to predict the optimal combination.
S61、BP人工神经网络的建立和训练S61, establishment and training of BP artificial neural network
以正交试验设计中影响RV减速器回转误差的主要因素作为所建BP神经网络的输入层,网络的输出层包含一个输出节点对应评价指标回转误差。采用MATLAB软件进行编程,选择隐含层传递函数、输出层传递函数、训练函数;设置隐含层、训练精度、学习率等参数,对含不同神经元数的网络进行训练对比。The main factors affecting the rotation error of the RV reducer in the orthogonal test design are used as the input layer of the built BP neural network, and the output layer of the network includes an output node corresponding to the evaluation index rotation error. Using MATLAB software for programming, select hidden layer transfer function, output layer transfer function, training function; set hidden layer, training accuracy, learning rate and other parameters, and compare the training of networks with different numbers of neurons.
S62、采用BP人工神经网络进行最优组合的预测;S62. Using BP artificial neural network to predict the optimal combination;
在上一步研究中,应用MATLAB软件编程,通过对实验数据样本的训练及BP神经网络参数的优化,成功建立了能够准确的描述RV减速器回转误差与其评价指标之间函数关系的BP神经网络模型,应用所建立的网络模型进行仿真模拟,以正交试验的若干影响因素值作为自变量,再分别为其赋值,设置一个合适的步长,使用MATLAB中的相关函数对每个因素的定义域值进行编程,以求其输出值回转误差的最小组合值。In the previous research, the application of MATLAB software programming, through the training of experimental data samples and the optimization of BP neural network parameters, successfully established a BP neural network model that can accurately describe the functional relationship between the rotation error of the RV reducer and its evaluation index , use the established network model to carry out simulation, take the values of several influencing factors of the orthogonal test as independent variables, and then assign values to them respectively, set an appropriate step size, and use the correlation function in MATLAB to define the domain of each factor The value is programmed in order to find the minimum combined value of its output value slew error.
S63、优化结果检验S63. Optimization result inspection
根据上步骤中的优化结果建立虚拟样机,并导入ADAMS进行多体动力学仿真,测得虚拟样机回转误差,同正交试验结果中进行对比得出传动精度优化效果。According to the optimization results in the previous steps, a virtual prototype is established, and imported into ADAMS for multi-body dynamics simulation, the rotation error of the virtual prototype is measured, and compared with the results of the orthogonal test to obtain the optimization effect of transmission accuracy.
本申请的一种基于虚拟样机技术和BP神经网络的RV减速器传动精度优化方法,具有如下有益效果:A method for optimizing transmission accuracy of an RV reducer based on virtual prototype technology and BP neural network of the present application has the following beneficial effects:
1、采用本发明方法解决了RV减速器传动精度优化过程中限于加工成本无法对每个因素进行优化设计,无法区分各影响因素对传动精度的影响重要度进一步精益地提高RV减速器的传动精度、制定零件配合公差提供了依据。1. Using the method of the present invention solves the problem that in the process of optimizing the transmission accuracy of RV reducers, it is impossible to optimize the design of each factor due to the limitation of processing costs, and it is impossible to distinguish the importance of each influencing factor on the transmission accuracy. Further leanly improve the transmission accuracy of RV reducers , To provide a basis for the development of tolerances for parts.
2、通过建模仿真避免了人为测量实验过程中产生测量误差以及其他噪声因子的影响使得实验结果的更加准确。2. Through modeling and simulation, it avoids the influence of measurement errors and other noise factors in the process of artificial measurement experiments, making the experimental results more accurate.
3、本发明方法中结合虚拟仿真技术与BP神经网络算法对RV减速器传动精度进行研究,实现了对最优传动精度的因素组合精准预测,无需进行实体样机的试验,节省了研究成本与时间,极大地提高了研究效率。3. In the method of the present invention, the transmission accuracy of the RV reducer is studied by combining the virtual simulation technology and the BP neural network algorithm, and the accurate prediction of the combination of factors for the optimal transmission accuracy is realized, and no physical prototype test is required, which saves research cost and time , greatly improving the research efficiency.
附图说明Description of drawings
图1是本发明的方法流程图。Fig. 1 is a flow chart of the method of the present invention.
图2是RV减速器装配体模型图Figure 2 is a model diagram of the RV reducer assembly
图3是虚拟样机(隐藏行星架)Figure 3 is a virtual prototype (with hidden planet carrier)
图4a是输入轴转速曲线,图4b是输出机构行星架转速曲线Figure 4a is the speed curve of the input shaft, and Figure 4b is the speed curve of the planetary carrier of the output mechanism
图5a是输入转角曲线,图5b是输出转角曲线,图5c是虚拟样机1转角误差曲线Figure 5a is the input rotation angle curve, Figure 5b is the output rotation angle curve, and Figure 5c is the virtual prototype 1 rotation angle error curve
图6是原始数据与经神经网络预测值的对比图Figure 6 is a comparison chart of the original data and the predicted value of the neural network
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述。The technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings in the embodiments of the present invention.
本发明提供了一种基于虚拟样机技术和BP神经网络的RV减速器传动精度优化方法,流程如图1,包括以下步骤:The present invention provides a method for optimizing transmission accuracy of an RV reducer based on virtual prototype technology and BP neural network. The process is shown in Figure 1, including the following steps:
S1、确定RV减速器传动精度的影响因素,主要包括零件误差、零件配合间隙、工作载荷三个方面;S1. Factors affecting the transmission accuracy of the RV reducer mainly include three aspects: part error, part fit clearance, and working load;
S11、选取RV40-E型减速器为研究对象,根据零部件传动关系以二级摆线轮传动为主要研究部分,结合《实用齿轮设计计算手册》零件误差部分选取曲柄轴偏心距、摆线轮移距修行量、摆线轮等距修行量、针齿半径误差、针齿中心圆半径误差5个影响因素;S11. Select the RV40-E type reducer as the research object. According to the transmission relationship of the components, the two-stage cycloidal transmission is the main research part. Combined with the part error part of the "Practical Gear Design Calculation Manual", the crankshaft eccentricity and cycloidal wheel are selected. There are 5 influencing factors: distance training amount, cycloid wheel equidistant training amount, pin tooth radius error, and pin tooth center circle radius error;
S12、对RV减速机中零件间隙对传动精度的影响关系进行分析,其中涉及零件间隙的主要有太阳轮行星轮啮合间隙、摆线轮曲柄轴孔与曲柄轴间的轴承间隙、行星架曲柄轴孔与曲柄轴间的轴承间隙以及行星架与机架间的轴承间隙、摆线轮针齿啮合间隙、针齿与针齿盘配合间隙。虚拟样机模型中轴承用轴套代替,并将针齿与针齿盘固结,所以零件配合间隙部分选取摆线轮内孔与转臂轴套间隙、曲柄轴与转臂轴套间隙、曲柄轴与支撑轴套间隙、支撑轴套与行星架间隙、支撑轴套与法兰盘间隙5个影响因子为试验因素,加上工作载荷共选取11个影响因素;S12. Analyze the influence relationship of the parts clearance on the transmission accuracy in the RV reducer. Among them, the parts clearance mainly includes the meshing clearance of the sun gear and the planetary gear, the bearing clearance between the crank shaft hole of the cycloid wheel and the crank shaft, and the crank shaft of the planet carrier. The bearing clearance between the hole and the crankshaft, the bearing clearance between the planet carrier and the frame, the meshing clearance of the cycloid pin teeth, and the matching clearance between the pin teeth and the pin gear disc. In the virtual prototype model, the bearing is replaced by a shaft sleeve, and the pin tooth and the pin tooth disc are consolidated, so the clearance of the parts is selected from the clearance between the inner hole of the cycloid wheel and the sleeve of the rotating arm, the clearance between the crank shaft and the sleeve of the rotating arm, and the clearance of the crank shaft The clearance between the supporting bushing, the clearance between the supporting bushing and the planetary carrier, and the clearance between the supporting bushing and the flange are the test factors, and a total of 11 influencing factors are selected together with the working load;
S2、结合影响因素构建正交试验方案;S2. Combining the influencing factors to construct an orthogonal test plan;
S21、制定因素水平表。为了分析零件加工误差、零件配合间隙、载荷等因素对RV减速器动态回转误差的影响程度,共选取11个因素为试验因素,选用正交表L(313),因素水平表如表1所示;S21. Formulate a factor level table. In order to analyze the influence of factors such as part processing error, part fit clearance, and load on the dynamic rotation error of the RV reducer, a total of 11 factors were selected as test factors, and the orthogonal table L (3 13 ) was selected. The factor level table is shown in Table 1. Show;
表1Table 1
S22、结合因素水平表制定正交试验方案如表2;表2S22. Combining the factor level table to formulate an orthogonal test plan as shown in Table 2; Table 2
S3、结合三维建模软件CREO与多体动力学仿真软件ADAMS依据正交试验方案构建虚拟样机;S3. Combining the 3D modeling software CREO and the multi-body dynamics simulation software ADAMS to build a virtual prototype according to the orthogonal test plan;
S31、采用三维建模软件CREO根据正交试验方案中零件误差建立27组RV减速器虚拟样机模型;由于ADAMS中难以构建复杂的三维模型,所以采用CREO根据正交试验方案建立RV减速器虚拟样机实验组,建模过程中对部分零部件进行简化,其中包括:轴承用轴套代替,忽略倒角螺栓等细微结构,用固结代替销、键、螺栓连接;去除密封圈、垫片等对研究无影响的零件。在CREO中建立摆线方程获得摆线轮齿廓曲线,摆线方程如下:S31. Use the 3D modeling software CREO to establish 27 sets of RV reducer virtual prototype models according to the part error in the orthogonal test plan; because it is difficult to build a complex 3D model in ADAMS, use CREO to establish the RV reducer virtual prototype according to the orthogonal test plan In the experimental group, some components were simplified during the modeling process, including: bearings were replaced by bushings, fine structures such as chamfered bolts were ignored, and pins, keys, and bolts were replaced by consolidation; sealing rings, gaskets, etc. were removed. Research unaffected parts. Establish the cycloid equation in CREO to obtain the cycloid gear profile curve, the cycloid equation is as follows:
x=(rz+drz)*(sin(360*t)-(k1/zb)*sin(zb*360*t))+(rzzx=(rz+drz)*(sin(360*t)-(k1/zb)*sin(zb*360*t))+(rzz
+drzz)*(-sin(360*t)+k1*sin(zb*360*t))/sqrt(1+drzz)*(-sin(360*t)+k1*sin(zb*360*t))/sqrt(1
+k1*k1-2*k1*cos(za*360*t))+k1*k1-2*k1*cos(za*360*t))
y=(rz+drz)*(cos(360*t)-(k1/zb)*cos(zb*360*t))-(rzzy=(rz+drz)*(cos(360*t)-(k1/zb)*cos(zb*360*t))-(rzz
+drzz)*(cos(360*t)-k1*cos(zb*360*t))/sqrt(1+drzz)*(cos(360*t)-k1*cos(zb*360*t))/sqrt(1
+k1*k1-2*k1*cos(za*360*t))+k1*k1-2*k1*cos(za*360*t))
k1=e*zb/(rz+drz)k1=e*zb/(rz+drz)
其中rz为针齿中心圆半径,zb为针齿齿数,rzz为针齿半径,za为摆线轮齿数,e为偏心距,drz为移距修行量,drzz为等距修行量;Among them, rz is the radius of the center circle of the pin tooth, zb is the number of pin teeth, rzz is the radius of the pin tooth, za is the number of cycloidal gear teeth, e is the eccentricity, drz is the distance training amount, and drzz is the equidistant practice amount;
通过摆线方程绘制完整摆线轮的半个齿廓,然后通过镜像、阵列、拉伸命令便可得出摆线轮三维模型,其他实体模型的建立方法与此相似。将所有零件实体模型进行装配,得到RV减速器装配体模型如图2。随后对装配体进行无干涉检验,确定装配正确无零件干涉后将装配体保存为CREO与ADAMS中间文件格式parasolid(*.x_t)。The half tooth profile of the complete cycloidal gear is drawn through the cycloidal equation, and then the three-dimensional model of the cycloidal gear can be obtained through mirror image, array, and stretching commands. The establishment method of other solid models is similar to this. Assemble all the solid models of the parts to obtain the assembly model of the RV reducer as shown in Figure 2. Then carry out the non-interference inspection on the assembly, and save the assembly as parasolid (*.
S32、将虚拟样机模型导入到多体动力学仿真软件进行材料特性的定义;通过File/Import命令将中间格式的模型文件导入ADAMS软件,并进行零部件材料的定义,基于ADAMS接触碰撞理论,零件接触碰撞时产生的弹性变形也会对RV减速器回转误差有所影响,所以添加模型各零件的弹性模量、密度、泊松比等材料特性如表3。表3S32. Import the virtual prototype model into the multi-body dynamics simulation software to define the material properties; import the model file in the intermediate format into the ADAMS software through the File/Import command, and define the material of the parts. Based on the ADAMS contact collision theory, the parts The elastic deformation generated during contact and collision will also affect the rotation error of the RV reducer, so the material properties such as elastic modulus, density, and Poisson's ratio of each part of the added model are shown in Table 3. table 3
S33、在ADAMS中对虚拟样机添加约束关系;为保证各零部件相对运动的正确性,构建虚拟样机也需要根据零部件运动轨迹提供约束或接触关系,通过RV减速器零部件的运动和接触分析,确定各零部件约束、接触关系如表4所示。S33. Add constraints to the virtual prototype in ADAMS; in order to ensure the correctness of the relative motion of each component, the construction of the virtual prototype also needs to provide constraints or contact relationships according to the trajectory of the components, through the motion and contact analysis of the RV reducer components , determine the constraints and contact relationships of each component, as shown in Table 4.
表4Table 4
S34、对虚拟样机进行仿真,验证所构建的模型是否正确;将由CREO建立装配体中间格式模型文件导入ADAMS系统,添加零部件材料特性和约束关系得到如图3(隐藏行星架)所示的虚拟样机。虚拟样机包含零件58个,约束18个,接触94个。设置旋转驱动输入转速函数F(time)=7000d*time*step(time,0,1,0,1),依据试验方案设置负载扭矩,定义负载扭矩函数F(time)=step(time,1,1.5,0,X),X据实验组数据而定。自行定义4S仿真时间,100步仿真步数。测得输入轴、行星架转速曲线如图4a、图4b所示,1.5s后模型运动稳定,输入轴转速为7000°/s,行星架转速均值为57.7445°/s,两者比值为121.2236,与理论传动比121相吻合,证明模型准确可靠。S34. Simulate the virtual prototype to verify whether the constructed model is correct; import the intermediate format model file of the assembly established by CREO into the ADAMS system, and add the material properties and constraint relationships of the parts to obtain the virtual as shown in Figure 3 (hidden planet carrier) prototype. The virtual prototype contains 58 parts, 18 constraints and 94 contacts. Set the rotary drive input speed function F(time)=7000d*time*step(time,0,1,0,1), set the load torque according to the test plan, and define the load torque function F(time)=step(time,1, 1.5,0,X), X depends on the data of the experimental group. Self-defined 4S simulation time, 100 steps of simulation steps. The measured speed curves of the input shaft and the planetary carrier are shown in Figure 4a and Figure 4b. After 1.5s, the model motion is stable, the input shaft speed is 7000°/s, the average speed of the planetary carrier is 57.7445°/s, and the ratio between the two is 121.2236. It is consistent with the theoretical transmission ratio of 121, which proves that the model is accurate and reliable.
S4、在仿真软件Adams中测量各虚拟样机实验组的传动误差;S4, measure the transmission error of each virtual prototype experimental group in the simulation software Adams;
选取回转误差为传动精度的评价指标,所选RV减速器试验模型传动比为121,根据回转误差计算公式The rotation error is selected as the evaluation index of the transmission accuracy, the transmission ratio of the selected RV reducer test model is 121, according to the calculation formula of the rotation error
式中,为转角误差;为输入轴(即太阳轮)输入转角;为输出轴(即行星架)实际转角;i为减速器传动比。In the formula, is the corner error; Enter the rotation angle for the input shaft (i.e. the sun gear); is the actual rotation angle of the output shaft (that is, the planet carrier); i is the transmission ratio of the reducer.
在ADAMS中对输入轴、输出架的转角进行实时测量,输出两者转角曲线如图5a、图5b所示。建立测量函数In ADAMS, the rotation angles of the input shaft and the output frame are measured in real time, and the output curves of the rotation angles are shown in Figure 5a and Figure 5b. Create a measurement function
FUNCTION=.JOINT_1_MEA_1/121—.JOINT_16_MEA_1式中,FUNCTION为实际输出转角与理论输出转角的差值,即回转误差;JOINT_1_MEA_1为输入轴转动副转角;.JOINT_16_MEA_1为行星架转动副转角。FUNCTION=.JOINT_1_MEA_1/121—.JOINT_16_MEA_1 In the formula, FUNCTION is the difference between the actual output rotation angle and the theoretical output rotation angle, that is, the rotation error; JOINT_1_MEA_1 is the rotation angle of the input shaft; .JOINT_16_MEA_1 is the rotation angle of the planet carrier.
根据正交实验表分别建立虚拟样机模型并导入ADAMS仿真,测得各组回转误差,图5c为虚拟样机1的回转误差曲线,由于实验组较多,其他组实验曲线不再一一列举。According to the orthogonal experiment table, the virtual prototype model was established and imported into ADAMS for simulation, and the rotation errors of each group were measured. Figure 5c shows the rotation error curve of virtual prototype 1. Since there are many experimental groups, the experimental curves of other groups will not be listed one by one.
由于0~1.5s内载荷、驱动匀速加载,模型运动状态不稳定,所以选取1.5~4s时间段误差曲线均值为评价指标,完善正交试验结果如表2所示。Since the load and drive are loaded at a uniform speed within 0 to 1.5s, the motion state of the model is unstable, so the mean value of the error curve in the time period of 1.5 to 4s is selected as the evaluation index, and the results of the perfect orthogonal test are shown in Table 2.
S5、对正交试验结果进行分析;S5, analyzing the results of the orthogonal test;
对正交试验结果进行性极差分析,极差分析即使用数据极差来分析问题,通过对比各实验结果的平均极差,找出影响试验指标的主要因子。其原理是在考虑单因子A对结果的影响时,认为其它因子对结果的影响是均衡的,A因子各水平的差异是由于A因子本身引起的。极差越大,说明该因子对实验指标的影响越大,各因素的极差R下列公式计算得到。Carry out a range analysis on the results of the orthogonal test. The range analysis uses the data range to analyze the problem. By comparing the average range of the experimental results, the main factors affecting the test indicators are found. The principle is that when considering the influence of a single factor A on the result, the influence of other factors on the result is considered to be balanced, and the differences in the levels of the A factor are caused by the A factor itself. The larger the range, the greater the influence of the factor on the experimental index. The range R of each factor is calculated by the following formula.
R=max{ki}-min{ki}R=max{k i }-min{k i }
T=∑ki T=∑k i
式中,R为极差;i为因素的水平数;ki为i水平时所对应的回转误差之和的均值;Ki为i水平时所对应的回转误差之和;n为任一列上各水平出现的次数;T为回转误差之和;In the formula, R is the range; i is the level number of the factor; k i is the mean value of the sum of the rotation errors corresponding to the i level; K i is the sum of the rotation errors corresponding to the i level; The number of occurrences of each level; T is the sum of rotation errors;
对试验结果进行极差分析结果如表2所示。根据各影响因素极差大小得出RV减速器动态回转误差各因素影响灵敏度程度从大到小顺序为针齿中心圆半径误差、针齿半径误差、摆线轮移距修行量、载荷大小、曲柄轴与转臂轴套间隙、摆线轮等距修行量、上支撑轴套与行星架间隙、曲柄轴偏心误差、曲柄轴与承重轴套间隙、摆线轮内孔与转臂轴套间隙、下支撑轴套与法兰盘间隙;因子水平最佳组合为A1B1C3D3E1F3G2H2I3J1K1。The results of the range analysis of the test results are shown in Table 2. According to the extreme difference of each influencing factor, it can be concluded that the sensitivity of each factor affecting the dynamic rotation error of the RV reducer from large to small is the pin tooth center circle radius error, pin tooth radius error, cycloid wheel travel distance practice amount, load size, and crank Clearance between shaft and arm bushing, equidistant distance of cycloidal wheel, clearance between upper support bushing and planetary carrier, eccentric error of crankshaft, clearance between crankshaft and load-bearing bushing, clearance between inner hole of cycloidal wheel and pivoting arm bushing, The gap between the lower support bushing and the flange; the optimal combination of factor levels is A 1 B 1 C 3 D 3 E 1 F 3 G 2 H 2 I 3 J 1 K 1 .
S6、将正交试验结果数据作为BP神经网络的输入端数据,进行最优组合的预测。S6. Using the orthogonal test result data as the input end data of the BP neural network to predict the optimal combination.
S61、BP人工神经网络的建立和训练S61, establishment and training of BP artificial neural network
以正交试验设计中影响RV减速器回转误差的主要因素作为所建BP神经网络的输入层,包含11个输入节点分别对应针齿半径误差、针齿中心圆半径误差、曲柄轴偏心误差、摆线轮移距修形量、摆线轮等距修形量、摆线轮内孔与转臂轴套间隙、曲柄轴与转臂轴套间隙、曲柄轴与支撑轴套间隙、上支撑轴套与行星架间隙、下支撑轴套与法兰盘间隙、工作载荷,网络的输出层包含一个输出节点对应评价指标回转误差。采用MATLAB(R2016a版本,美国)软件进行编程,选择双曲正切传递函数(tansig)作为隐含层传递函数,线性传递函数(purelin)作为输出层传递函数,设置隐含层1个,通过对含不同神经元数的网络进行训练对比,确定内含神经元23个,采用traingdm函数对新建BP网络进行训练,设定网络训练参数值,最大训练次数为100次,训练精度为0.0001,学习率为0.1,其他各项参数为默认值。图6为原始数据与经神经网络预测值的对比图,由图可知两者重合度较高,证明该BP神经网络可以用于预测RV减速器的传动精度预测,且结果较为准确。Taking the main factors affecting the rotation error of the RV reducer in the orthogonal test design as the input layer of the built BP neural network, it contains 11 input nodes corresponding to the pin tooth radius error, the pin tooth center circle radius error, the crankshaft eccentricity error, the pendulum Modification amount of wire wheel distance, equidistant modification amount of cycloidal wheel, clearance between inner hole of cycloidal wheel and pivot arm bushing, clearance between crankshaft and pivoting arm bushing, clearance between crankshaft and support bushing, upper support bushing The gap between the planet carrier, the gap between the lower support bushing and the flange, and the working load. The output layer of the network contains an output node corresponding to the evaluation index rotation error. MATLAB (version R2016a, USA) software was used for programming, the hyperbolic tangent transfer function (tansig) was selected as the hidden layer transfer function, the linear transfer function (purelin) was used as the output layer transfer function, and one hidden layer was set. Networks with different numbers of neurons were trained and compared, and 23 neurons were determined to be included. The newly-built BP network was trained using the traindm function, and the network training parameter values were set. The maximum number of training times was 100, the training accuracy was 0.0001, and the learning rate was 0.1, other parameters are default values. Figure 6 is a comparison chart between the original data and the predicted value by the neural network. It can be seen from the figure that the two have a high degree of coincidence, which proves that the BP neural network can be used to predict the transmission accuracy of the RV reducer, and the result is relatively accurate.
S62、BP人工神经网络结合正交试验优化因素参数S62, BP artificial neural network combined with orthogonal test to optimize factor parameters
在上一步研究中,应用MATLAB软件编程,通过对实验数据样本的训练及BP神经网络参数的优化,成功建立了能够准确的描述RV减速器回转误差与其评价指标之间函数关系的BP神经网络模型,应用所建立的网络模型进行仿真模拟,以正交试验的A、B、C、D、E、F、G、H、I、J、K11个影响因素值作为自变量,再分别为这11个因素赋值,设置一个合适的步长,使用MATLAB中的相关函数对每个因素的定义域值进行编程,以求其输出值回转误差的最小组合值。经BP人工神经网络模型仿真优化得到RV减速器回转误差最小时因素组合为:针齿半径误差0.01mm、针齿中心圆半径误差0.01mm、曲柄轴偏心误差0.1mm、摆线轮移距修形量0.03mm、摆线轮等距修形量0.01mm、摆线轮内孔与转臂轴套间隙0.01mm、曲柄轴与转臂轴套间隙0.0042mm、曲柄轴与支撑轴套间隙0.0058、上支撑轴套与行星架间隙0.01、下支撑轴套与法兰盘间隙0.0012、工作载荷300N·mm。In the previous research, the application of MATLAB software programming, through the training of experimental data samples and the optimization of BP neural network parameters, successfully established a BP neural network model that can accurately describe the functional relationship between the rotation error of the RV reducer and its evaluation index , using the established network model to carry out the simulation, taking the values of 11 influencing factors A, B, C, D, E, F, G, H, I, J, K of the orthogonal test as independent variables, and then the 11 Assign a value to each factor, set an appropriate step size, and use the relevant function in MATLAB to program the domain value of each factor to find the minimum combined value of the output value rotation error. After the BP artificial neural network model simulation optimization, the combination of factors for the minimum rotation error of the RV reducer is: pin tooth radius error 0.01mm, pin tooth center circle radius error 0.01mm, crankshaft eccentricity error 0.1mm, cycloid wheel distance modification 0.03mm, equidistant modification of cycloid wheel 0.01mm, gap between cycloid wheel inner hole and arm bushing 0.01mm, crankshaft and pivot arm bushing gap 0.0042mm, crankshaft and support bushing gap 0.0058, upper The gap between the supporting bushing and the planet carrier is 0.01, the gap between the lower supporting bushing and the flange is 0.0012, and the working load is 300N·mm.
S63、优化结果检验S63. Optimization result inspection
根据上步骤中的优化结果建立虚拟样机,并导入ADAMS进行多体动力学仿真,得出虚拟样机回转误差为0.0512°,同正交试验结果中最优0.0611°相比,传动精度提高了16.2%,证明该发明方法对RV减速器传动精度优化效果明显。Establish a virtual prototype based on the optimization results in the previous steps, and import it into ADAMS for multi-body dynamics simulation. It is obtained that the rotation error of the virtual prototype is 0.0512°, which is 16.2% higher than the optimal 0.0611° in the orthogonal test results. , which proves that the inventive method has a significant effect on optimizing the transmission accuracy of the RV reducer.
本申请的一种基于虚拟样机技术和BP神经网络的RV减速器传动精度优化方法,具有如下有益效果:A method for optimizing transmission accuracy of an RV reducer based on virtual prototype technology and BP neural network of the present application has the following beneficial effects:
1、采用本发明方法解决了RV减速器传动精度优化过程中限于加工成本无法对每个因素进行优化设计,难以区分各影响因素对传动精度的影响重要度这一难题,为进一步提高RV减速器的传动精度提供了一种新的方法。1. The method of the present invention solves the difficult problem that in the process of optimizing the transmission accuracy of the RV reducer, the processing cost cannot optimize the design of each factor, and it is difficult to distinguish the importance of each influencing factor on the transmission accuracy. In order to further improve the RV reducer The transmission accuracy provides a new method.
2、通过建模仿真避免了人为测量实验过程中产生测量误差以及其他噪声因子的影响使得实验结果的更加准确。2. Through modeling and simulation, it avoids the influence of measurement errors and other noise factors in the process of artificial measurement experiments, making the experimental results more accurate.
3、本发明方法中结合虚拟仿真技术与BP神经网络算法对RV减速器传动精度进行研究,实现了对最优传动精度因素组合的精准预测,无需进行实体样机的试验,节省了研究成本与时间,极大地提高了研究效率。3. In the method of the present invention, the transmission accuracy of the RV reducer is studied by combining the virtual simulation technology and the BP neural network algorithm, and the accurate prediction of the optimal transmission accuracy factor combination is realized, and no physical prototype test is required, which saves research cost and time , greatly improving the research efficiency.
本说明书实施例所述的内容仅仅是对发明构思的实现形式的列举,本发明的保护范围不应当被视为仅限于实施例所陈述的具体形式,本发明的保护范围也及于本领域技术人员根据本发明构思所能够想到的等同技术手段。The content described in the embodiments of this specification is only an enumeration of the implementation forms of the inventive concept. The protection scope of the present invention should not be regarded as limited to the specific forms stated in the embodiments. Equivalent technical means that a person can think of based on the concept of the present invention.
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CN113111454B (en) * | 2021-04-01 | 2024-08-23 | 浙江工业大学 | RV reducer dynamic transmission error optimization method based on Kriging model |
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Citations (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2012009817A1 (en) * | 2010-07-22 | 2012-01-26 | Cogmation Robotics Inc. | A non-programmer method for creating simulation-enabled 3d robotic models for immediate robotic simulation, without programming intervention |
CN102567576A (en) * | 2011-12-13 | 2012-07-11 | 北京交通大学 | Method for predicting rate of wheel load reduction |
JP5330837B2 (en) * | 2009-01-15 | 2013-10-30 | 富士重工業株式会社 | Gear pair design device and gear pair |
CN104597842A (en) * | 2015-02-02 | 2015-05-06 | 武汉理工大学 | BP neutral network heavy machine tool thermal error modeling method optimized through genetic algorithm |
CN105184005A (en) * | 2015-09-21 | 2015-12-23 | 中国运载火箭技术研究院 | Method for optimizing general parameters of control surface transmission mechanism |
CN106202731A (en) * | 2016-07-12 | 2016-12-07 | 南京理工大学 | Bridge crane multi-flexibl e dynamics structural optimization method |
CN106934180A (en) * | 2017-04-12 | 2017-07-07 | 济南大学 | An Optimal Design Method for High Power Density 2K‑H Planetary Gear Train |
-
2018
- 2018-03-16 CN CN201810218411.6A patent/CN108563831B/en active Active
Patent Citations (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP5330837B2 (en) * | 2009-01-15 | 2013-10-30 | 富士重工業株式会社 | Gear pair design device and gear pair |
WO2012009817A1 (en) * | 2010-07-22 | 2012-01-26 | Cogmation Robotics Inc. | A non-programmer method for creating simulation-enabled 3d robotic models for immediate robotic simulation, without programming intervention |
CN102567576A (en) * | 2011-12-13 | 2012-07-11 | 北京交通大学 | Method for predicting rate of wheel load reduction |
CN104597842A (en) * | 2015-02-02 | 2015-05-06 | 武汉理工大学 | BP neutral network heavy machine tool thermal error modeling method optimized through genetic algorithm |
CN105184005A (en) * | 2015-09-21 | 2015-12-23 | 中国运载火箭技术研究院 | Method for optimizing general parameters of control surface transmission mechanism |
CN106202731A (en) * | 2016-07-12 | 2016-12-07 | 南京理工大学 | Bridge crane multi-flexibl e dynamics structural optimization method |
CN106934180A (en) * | 2017-04-12 | 2017-07-07 | 济南大学 | An Optimal Design Method for High Power Density 2K‑H Planetary Gear Train |
Non-Patent Citations (2)
Title |
---|
一种基于人工神经网络和优化算法库的复杂虚拟样机优化通用方法;杜中华 等;《机械工程师》;20091031;第39卷(第10期);第75-79页 * |
基于UG的平行轴系传动精度优化设计系统;汤辉 等;《工具技术》;20050930(第9期);第42-45页 * |
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