最新刊期
期 7 ， 2021
- 摘要：In order to improve the load sharing performance and transmission stability of the split torque transmission system， aiming at a single input double output gear torque transmission system， three kinds of linkage center distance error calculation models of a single-input double-output gear split torque transmission system are established based on the idea of symmetry， synchronous change and follow-up. The projection calculation formula of the error on the meshing line is derived， and the influence of distribution of three kinds of linkage center distance error on the system load sharing and dynamic load coefficient is studied. The results show that the center distance error has little influence on the load sharing coefficient and dynamic load coefficient. The deflection angle under three different calculation models has a great influence on the system load sharing coefficient and dynamic load coefficient， especially the synchronous and follow-up change modes. From the calculation results， using the symmetrical error distribution model， there is a large choice of distribution space for error， which can be used to obtain the good dynamic performance of the cylindrical gear transmission system.关键词：Gear;Split torque transmission;Center distance error;Dynamics;Load sharing coefficient;Dynamic load coefficient
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发布时间：2022-11-10 - 摘要：The influence of eccentricity on the gear grinding of the cycloidal gear is theoretically analyzed. By compensating the eccentricity， the gear grinding precision of the cycloidal gear is effectively improved. On the basis of the spatial geometric relationship between the grinder and the workpiece， the geometric model of the grinding error is established. According to the standard GB/T 10095.1—2008， the influence of the eccentricity on the pitch， helix and profile errors of the cycloid is analyzed. Based on the grinding principle of CNC cycloid gear forming gear grinding machine， a comprehensive compensation method of radial and tangential is proposed. The eccentric installation and grinding test of the cycloid wheel is verified by the domestic YK7350B CNC cycloid gear forming and grinding machine， which shows that the compensation method can effectively improve the forming and grinding accuracy of the cycloid wheel and reduce the cutting marks on the tooth surface.关键词：CNC grinding machine;Gear eccentricity;Error compensation
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发布时间：2022-11-10 - 摘要：In order to study the influence of isolator arrangement on the vibration of the foundation in a marine gearbox，a gear system with single-stage isolation is taken as an example. The impedance model of gear pair，shaft，bearing，housing，isolator，and foundation is constituted considering the flexibility of subsystems，and the impedance synthesis approach is adopted to constitute the coupled impedance model. The influence of the span，non-symmetric arrangement，and number of isolator on the vibration isolation is studied. Results show that，slightly decrease the span of isolators is beneficial to vibration isolation，the symmetric arrangement of isolators is not the optimal scheme to reduce vibration，increasing the number of isolator does not always increase vibration，and the rib feature of housing and foundation cannot be ignored in the vibration isolation analysis.关键词：Marine gearbox;Impedance synthesis method;Coupled vibration;Flexible installation;Isolator arrangement
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发布时间：2022-11-10 - 摘要：In order to solve the problems such as the kinematics modeling of the shield machine propulsion system and the difficulty of forward solution， the simplified equivalent model method is adopted to construct a simplified model of the shield machine propulsion system， and the parallel shield propulsion system of n-SPS is simplified to 4-SPS equivalent parallel propulsion mechanism and construct its kinematics model. According to the established equivalent mechanism kinematics model， a neural network-Newton hybrid algorithm is used to solve the shield tunneling pose， and the solution domain search function of the neural network is used to predict the initial value and substitute the prediction result into the Newton iteration method for calculation and solution. The pros and cons of the single neural network predicted value and the calculated results of the BP neural network-Newton iterative hybrid algorithm are analyzed and compared. The study found that the establishment of the equivalent model of the shield machine propulsion system can greatly simplify the complexity of kinematics modeling， and the use of hybrid algorithms to solve the kinematics positive solution has higher accuracy， which can improve the control accuracy of the shield machine excavation attitude， thereby improving the tunneling tunnel quality.关键词：Shield machine;Positive kinematics solution;Newton iteration method;BP neural network;Equivalent model
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发布时间：2022-11-10 - 摘要：The 3-RRR spherical parallel robot is applied as the actuator for spatial positioning and tracking，the Euler angle is described the pose of the robot end moving platform. The robot position equation is established，and the expression of joint angle is obtained. The necessary conditions of the robot have space and the structural constraints that each joint must satisfy are given by means of geometric analysis. The connecting rod of spherical mechanism is represented as a large circular arc on the spherical surface. The motion interference of the connecting rod is shown as the intersection of two connecting rod arcs. The spatial arc representing the connecting rod is mapped to a plane curve by using the method of spherical pole mapping. The problem of finding the intersection point of spatial circular arc is simplified to the intersection of plane curve. At the same time，considering the actual situation that the parallel robot has multiple positions in each posture of the moving platform and each link has two sides of the boundary. The criterion and process of identifying the kinematic interference of the parallel robot is proposed. In the example，the attitude space of the robot is explored by taking the kinematics solution of each branch of the robot satisfying the constraint conditions of joint structure as the target，and the motion interference discrimination of each point in the attitude space is further carried out，and the distribution of the motion interference of the linkage in the attitude space is obtained.关键词：Parallel robot;Sphere pole mapping;Motion interference;Workspace
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发布时间：2022-11-10 - 摘要：Considered the cam-roller allowable pressure angle condition α1≤[α1] and the linkage-rocker allowable pressure angle condition α2≤[α2]， the special class-Ⅱ mechanisms synthesis task of disc cam mechanisms with roller follower in planar general motion is further explored. Through the kinematic and force analysis of the research object， the condition of α2≤[α2] is transformed into the solution interval of the three force intersection， a new concepts of "instantaneous nested interval of three force intersection" is put forward. Then， three cases of "instantaneous nested interval of three force intersection" are discussed and the solution steps of the most compact mechanism satisfying the condition of double allowable pressure angles are given. Finally， the special class-Ⅱ mechanisms synthesis task of disc cam mechanisms with roller follower in planar general motion is solved satisfactorily.关键词：Class-Ⅱ synthesis;Double transmission performance condition;Instantaneous nested interval of three force intersection;Special/general
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发布时间：2022-11-10 - 摘要：In order to reduce the energy consumption of pure electric vehicles and improve the driving range of electric vehicles， a new dual-motor nutating dynamic coupling system is taken as the research object， and a control strategy with the minimum electric power as the target is proposed. Based on the entire control strategy framework， the control strategy is divided into upper， middle， and lower layers. The upper control strategy is the calculation of demand torque. According to the driver's intention， road information， battery information， etc.， the vehicle's demand torque is accurately obtained. The middle control strategy is drive mode division and power distribution. The mode division is based on the vehicle speed as the logical threshold and the minimum electric power as the target to develop a dual-motor speed and torque distribution strategy to achieve dual-motor power system power distribution. The lower-level control strategy is mode switching process control. In order to reduce the power drop of mode switching， in the process of switching from single motor mode to dual motor mode， power reduction processing is adopted. Finally， a simulation model of dual-motor dynamic coupling system is established in Matlab/Simulink， which verifies the reliability of the control strategy.关键词：Electric bus;Dual-motor;Nutation;Control strategy
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发布时间：2022-11-10
Theory·Reserach
- 摘要：The "dual-conjugated" phenomenon is generated in the process of the double-circular-arc harmonic transmission， which has an important influence on the carrying capacity of harmonic gear transmission. Therefore， an optimization method based on genetic algorithm to optimize the "dual-conjugated" interval is proposed. Firstly， based on the theoretical conjugate tooth profile of the flexspline obtained by the envelope method， then， one parameter optimization model （based on genetic algorithm） of double-circular-arc harmonic gear is established， which taking the fit degree of the two conjugate tooth profiles as the optimized goal. By using this model， the parameters of the flexspline are optimized quickly. The results show that this optimization method can optimize more parameters contemporary and reduce the calculation time. Through analyze the single parameter sensitivity of the optimized parameters， it is found that the objective function has a low sensitivity to the arc radius of convex and concave tooth， and the tooth thickness ratio. Therefore， to control the manufacturing accuracy of the flexspline and increase the "dual conjugate" interval， one of the useful way is that relax the size error of low sensitivity parameters and control the size error of high sensitivity parameters appropriately.关键词：Double-circular-arc harmonic gear;Genetic algorithm;Optimized design;Single parameter sensitivity analysis
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发布时间：2022-11-10 - 摘要：Taking a 4-PRPaR parallel mechanism with three translational and one rotational as the research object， the evolutionary multi-objective algorithm is applied to solve the dimensional synthesis problem of mechanism. The degree of freedom of mechanism is analyzed by means of constraint screw theory， and the analytical expression of the inverse position solution of mechanism is given. These works can be foundations for the mechanism performance analysis. The evaluation indices for motion and force transmission performance of mechanism are established， and the definition of regular effective transmission workspace （RETW） and its average transmission indices are presented. A multi-objective optimization model is constructed to formulate the design problem of dimensional parameters on the maximizing radius of RETW and average transmission indices， and the fast and elitist multi-objective genetic algorithm combined with differential evolution algorithm is used to solve this problem. A real case of multi-objective optimization for dimensional parameters is given， and the result shows that the model and algorithm are feasible and effective. The research results can provide a theoretical basis for the practical application and the development of physical prototype.关键词：Parallel mechanism;Transmission performance index;Transmission workspace;Dimensional synthesis;Evolutionary multi-objective algorithm
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发布时间：2022-11-10 - 摘要：Taking the quadruped robot as research object， a method to optimize body size and centroid position of the quadruped robot based on improved particle swarm optimization algorithm to enhance its stability is proposed. In order to establish optimization performance evaluation indexes and design variables， the body dynamics model is established， the influence of different centroid positions of the robot on its motion stability is analyzed. Through the analysis， the maximum turning angle minimum is taken as the performance evaluation index， and the body size and centroid position are taken as the optimization design variables. After optimization by improved particle swarm optimization algorithm and ideal point method， a group of optimal body size and centroid positions are obtained. The results show that before optimization， the body can be accelerated and decelerated on the left and right side， its maximum turning angle is 10.10°. After the optimization of the size and the centroid positions， the maximum turning angle is 4.34°， which keeps stable fluctuation in a small range on the same side. Compared with that before optimization， the maximum turning angle of the body is reduced by 5.76°. The experimental prototype of a quadruped robot runs smoothly， validates the effectiveness of the optimization method， and also provides a certain theoretical reference for the stability research of quadruped robot in the future.关键词：Quadruped robot;Stability;Centroid position;Improved particle swarm optimization algorithm;Maximum turning angle of body
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发布时间：2022-11-10 - 摘要：Taking a new type of two speed transmission without power interruption in electric vehicles as research object， in order to improve its stability and economy， the housing is designed and optimized. Firstly， the housing structure is designed and its finite element model is established. On this basis， the stiffness and strength of the housing are calculated and the constrained modal calculation is more in line with the engineering practice. The accuracy of the finite element model is verified by the constrained modal test. The simulation and test results show that the stiffness of the housing is low， and the first two natural frequencies are very close to the excitation frequency of gear meshing at the common speed. According to the results of static and dynamic multi-objective topology optimization， the housing structure is improved. The calculation results of the improved housing show that the strength is basically unchanged， the maximum displacement of the bearing hole area is reduced from 0.085 mm to 0.07 mm， the natural frequencies of the first two orders are increased by 24.8 Hz and 50.2 Hz respectively， which reduces the risk of resonance and reduces the mass by 7.5%.关键词：Electric vehicle;Gearbox;Finite element;Modal test;Topology optimization
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发布时间：2022-11-10 - 摘要：The master manipulator is an important part for minimally invasive surgical （MIS）robot. It is used to receive the doctor action and control the slave operator to complete the surgical operation. Based on analysis of the application requirements of the master manipulator that is already existed，the configuration design requirements of the master manipulator are analyzed，and the configuration design of the master manipulator is completed. The trajectory planning simulation of the master manipulator in joint space is also carried out，and the displacement，velocity and acceleration curves of the master manipulator joint are obtained. The simulation results show that，the configuration design of the master manipulator is reasonable，and the master manipulator moves smoothly，which lays a theoretical foundation of the further design and optimization for the master manipulator.关键词：Master manipulator;Configuration design;Trajectory planning
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发布时间：2022-11-10 - 摘要：In order to ensure better effect and more comfortable experience when people exercise with horse riding machine， based on the principle of human factors engineering， the horse riding machine is designed by using the SolidWorks software. Through the analytical and simulation analysis of structural dimensions of the horse riding machine， the movement characteristics of the saddle， the pedal and the armrest， the dimensional parameters of important components are determined， which verified the rationality of the structural design. Based on the requirement of human factor engineering for safety performance， by using SolidWorks Simulation， the static analysis of the horse riding machine is carried out， and the corresponding maximum stress is also optimized. A modal analysis of the frame under the free state is conducted by using software Abaqus and its natural frequency under the working state is analyzed. It shows the safety of horse riding machine.关键词：Horse riding machine;Human factor engineering;Structural design;Analytical;analysis
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发布时间：2022-11-10 -
Solution for Forward Kinematics of Parallel Mechanism based on PSO-BPNN and Newton-Raphson Algorithm
摘要：Taking parallel mechanism as a research object， aiming at the problem that neural network algorithm is easy to fall into local optimization and the Newton-Raphson algorithm is sensitive to the initial value of iteration when solving forward kinematics， a general forward kinematics algorithm combining PSO-BPNN and Newton-Raphson algorithm is proposed. The inverse kinematics equation of parallel mechanism is established to obtain the value of the driving rod， which is used as the training sample， and the BPNN model is optimized by PSO to obtain the solution for forward kinematic， which is taken as the initial iterative value of the newton-raphson algorithm to solve the forward kinematics of parallel mechanism. To verify the effectiveness and universality of the algorithm， simulation examples of 3-PCR and 3-PPR parallel mechanisms are given. The simulation results show that Newton-Raphson algorithm does not converge due to the large difference between the initial iteration value and the target value. Compared with the PSO-BPNN algorithm， the absolute error obtained by combining PSO-BPNN and Newton-Raphson algorithm is reduced by at least 99.68% and 99.96%， and the number of iterations is less. PSO-BPNN and Newton-Raphson algorithm not only overcomes the shortcomings of poor local convergence of the neural network algorithm， but also avoids the influence of initial value selection on the accuracy of the Newton-Raphson algorithm， which has good versatility.关键词：Parallel mechanism;Forward kinematics;PSO back propagation neural network;Newton-Raphson iteration algorithm- 9
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发布时间：2022-11-10 - 摘要：To improve the preoperative positioning efficiency and terminal operability of the minimally invasive surgical robot，a new multi-slave manipulator system of minimally invasive surgical robot is designed，which includes the preoperative positioning mechanism and the remote-center mechanism. Three surgical instrument arms and one endoscopic arm can be installed on the base. The fixed point of the end can be realized through the parallelogram mechanism in the remote-center mechanism，and the workspace can be increased by adding redundant DOF on the basis of the pitch，roll，and translation DOFs. To facilitate the doctor to adjust the height of the remote-center mechanism before the operation，the gravity compensation joint of the preoperative positioning mechanism is compensated for the gravity of the remote-center mechanism by the constant force spring. Based on the structural design of the multi-slave manipulator system，the forward kinematic analyses of the active part and the passive part are carried out. Since the preoperative positioning mechanism is used for preoperative positioning on the active part and each joint of the passive part will be locked during the operation，the inverse kinematics and the workspace of the active part are only analyzed. By comparing the motion trajectory simulated by SolidWorks with the motion trajectory of the end of the robot obtained by Matlab，the rationality of the structure of the multi-slave manipulator system and the correctness of the kinematics can be verified.关键词：Multi-slave manipulator system;Gravity compensation;Kinematics analysis;Workspace
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发布时间：2022-11-10 - 摘要：Aiming at the vibration problem of traditional parallel manipulator trajectory planning， two-degree-of-freedom parallel mechanism is studied， and a trajectory planning method based on high-order differentiable compound polynomial is proposed. Firstly， a planar two-degree-of-freedom parallel manipulator for product packaging is designed， and the inverse kinematics and forward kinematics are analyzed. The model is built by Solidworks software， and the correctness of kinematics analysis is verified. According to the physical boundaries and industry needs， the appropriate workspace is selected. Then， a new compound polynomial is generated by combining cubic polynomial with Bessel curve. Finally， the prototype of the manipulator is made and tested in practice. The research results show that， compared with cubic polynomial， the position， velocity and acceleration curves of the trajectory generated by the new polynomial are smoother in the same duration， which effectively reduces the vibration of the mechanism， reduces the maximum velocity and acceleration by about 40%， and effectively prolongs the mechanical life.关键词：Parallel mechanism;Trajectory planning;Kinematics analysis;Cubic polynomial;Bessel curve
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发布时间：2022-11-10
Design· Calculation
- 摘要：In order to study the frictional heat generation characteristics of cylindrical roller bearings，taking the effect of the initial assembly interference between the shaft and bearings，the centrifugal force and mating surface roughness into account， a quasi-static analysis model considering is established. With the local heat source method， the frictional heat generation amount between the components of the bearing is calculated， and the effects of different working conditions and lubrication parameters on the frictional heat generation are analyzed through an example. Results show that the rotation speed and the external load have a great impact on the frictional heat generation amount. When the rotation speed is high，the growth of the frictional heat generation amount is obvious. The increase of the lubricating oil dynamic viscosity or the oil-air proportional coefficient will both make the frictional heat generation amount show a trend of increasing.关键词：Cylindrical roller bearing;Quasi-static model;Frictional heat generation amount;Oil-gas proportional coefficient
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发布时间：2022-11-10 - 摘要：A novel 5-DOF hybrid machining unit is designed and its kinematics is analyzed， in which a 2UPR&2RPS redundantly actuated parallel mechanism is acting as the spindle head. Firstly， the degree of freedom of proposed hybrid machining unit is analyzed based on the screw theory， it is proved that it has two rotational and three translational （2R3T） motion abilities. Secondly， a kinematics model of the hybrid machining unit is established by means of space vector， the analytical inverse and forward position formulations are derived. Thirdly， the workspace of the hybrid machining unit is predicted based on the hierarchical search idea， the distribution of the 5-axis reachable workspace is given. Finally， a set of machining tests are conducted on a laboratory prototype to experimentally validate the correctness of aforementioned kinematic analyses.关键词：Hybrid machining unit;Redundantly actuated parallel mechanism;Kinematics analysis;Free-form surface;S-shape test piece
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发布时间：2022-11-10 - 摘要：Aiming at the problem of transmission gear idling knocking abnormal noise in a batch of domestically produced new trucks， based on the research method of "conjecture-theoretical research-test verification"， the situation that the transmission idling knocking problem is caused by the friction clutch first-stage torsion damper and mismatch of parameters and power transmission system is analyzed and confirmed. The relationship between the first-stage torsional stiffness， dry friction damping torque， the limit value of the forward and reverse torsion angle and the transmission gear knocking noise is studied. The results show that， the torsion characteristic parameters of the clutch torsion damper can be adjusted to solve the abnormal noise of the transmission idling， which is the simplest and most effective method. Therefore， under the condition that the premise of keeping the first-class forward and reverse torsion angle limit values and dry friction damping torque unchanged， the first-class torsional stiffness is optimized， and the samples are manufactured and tested on the vehicle. The data of speed and noise time domain is collected after optimization of the clutch and is post-processed. Then compared with the before it had not been optimized， and the subjective feelings are compared. Both theoretical analysis and tests show that， the friction clutch after adjusting the first-stage torsional stiffness effectively attenuates the engine output speed fluctuations， and the transmission idling knocking abnormal noise is well suppressed. This method has reference value for solving other similar transmission gear knocking problems.关键词：Torsional vibration;Rattle noise;Test;Transmission;Clutch
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发布时间：2022-11-10 - 摘要：In order to accurately evaluate the strength and fatigue characteristics of the double arc planetary gear transmission system in actual work，the three-dimensional geometric model of the double-arc planetary gear transmission system is established，by using HyperMesh a high-quality hexahedral mesh is obtained，combining with Ansys a finite element model is established and the transient dynamic analysis is carried out，the change curve of equivalent stress and contact pressure during the movement of the transmission system are obtained. At the same time，the fatigue life analysis is carried out based on the finite element model using Fatigue Tool. The results show that the stress of the transmission system is concentrated on the meshing end surface of the planetary gear and the sun gear during the meshing process. The contact stress changes smoothly，and the entire structure has a small impact. Fatigue damage is concentrated on the meshing position of the planetary gear and the sun gear.关键词：Double arc planetary gear;Transient dynamics;Fatigue life
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发布时间：2022-11-10 - 摘要：Based on the involutes and cycloid gear profile equation，3D parametric models of involute gear and cycloid gear are respectively established in Creo with considering modification，and the whole machine parametric model of RV-20E precision reducer is obtained. The model of the whole machine is introduced into Adams to establish a virtual prototype，and the kinematics simulation is carried out to obtain the angular velocity curves of involutes planetary gear，cycloid wheel and planetary frame. The correctness of the virtual prototype is verified by theoretical calculation results. The influence of two-stage modification on the transmission accuracy of the robot precision reducer is studied. Six virtual prototypes are respectively established when considering the first stage modification combined with modification variables. According to the simulation results，the running smoothness of the left and right involutes planetary gears with tooth profile modification is improved by 86.5% and 82.6% respectively. Compared with the cycloid gear modification only considered，the two-stage modification combined with cycloid gear modification is considered，the motion transmission of the precision reducer is more stable，the transmission accuracy is increased by 1.8%，and the operation smoothness is increased by 30.5%.关键词：Robot precision reducer;Virtual prototype;Two-stage modification;Transmission accuracy
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发布时间：2022-11-10
Test·Analysis
- 摘要：According to the production process requirements of the pyrophyllite block，which is raw material for synthetic diamond，a manipulator with internal bracing grasping and pressing assembly for fragile cylindrical inner wall parts is designed. The manipulator completes the grasping and assembling together，and the structure of the pressing action is designed as a barrel-shaped palm，and the three circular arc fingers with internal bracing grasping，which complete the grasping and transferring action，are nested in the inner cylindrical surface of the barrel-shaped palm. Based on the introduction of the overall structure of the manipulator，the selections of the pushing cylinder and the pneumatic control system are discussed. The influence of different motion laws on the stability of the operation process is investigated when controlling the transfer operation of the manipulator. The theoretical analysis of the motion laws and the Adams motion simulation of the manipulator working process indicate that better motion performance can be obtained by using modified trapezoidal motion laws to control the transferring motion of the manipulator. The results of the study laid a good foundation for the operation of the improved manipulator system.关键词：Fragile workpiece;Cylindrical surface;Inner wall workpiece;Inner bracing method for grasping;Press down assembly;Manipulator structure;Motion law
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发布时间：2022-11-10 - 摘要：A finite element and discrete element （FEM-DEM） coupling model for shot peening on rough surface is proposed in consideration of the surface roughness of non-peened specimen. The peened and non-peened 45# steel specimens are prepared，and their residual stress on the surface and subsurface are measured. The measured results are used to verify the proposed model，and the effects of shot peening process parameters on the residual stress on the subsurface are studied. The results show that increasing the surface coverage and shot peening intensity can increase the peak value of the compressive residual stress，especially the impact of shot peening is more significant. With the same surface coverage and shot peening intensity，the smaller diameter shot can increase the peak value of the compressive residual stress，while the thickness of the compressive residual stress increases as the diameter of shot becomes larger. If the surface roughness before shot peening is too high，the effect of shot peening can be enhanced by increasing the surface coverage. The research provides a certain theoretical basis for the optimization of shot peening on the rough surface.关键词：Rough surface;Shot peening;FEM-DEM;Residual stress
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发布时间：2022-11-10 - 摘要：The control accuracy of industrial robot depends on the comprehensive performance of RV reducer， which is the core component of industrial robot. At present， there is a lack of testing products for the performance of RV reducer in the market， the existing testing system has single function，which can't satisfy the requirements of industrial robot production and research. By analyzing the structure and working principle of RV reducer， the measurement method of performance parameters such as transmission error， transmission efficiency and torsional stiffness of RV reducer is intensively studied， an automatic measurement platform of RV reducer dynamic transmission performance is designed， it provides reference and basis for mechanical design and performance test of RV reducer.关键词：Rotate vector reducer;Performance test;Transmission efficiency;Transmission error;Torsional rigidity
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发布时间：2022-11-10 - 摘要：In order to support the development of the Geared turbofan （GTF） engine in China， the five-branch-power-split herringbone star gearbox for Fan drive gear system（FDGS） is studied. The manufacturing and assembling errors that affects the load sharing coefficient of the star gear system are analyzed. The calculation model for static load sharing coefficient of the star gear system is established. By calculating and analyzing the static load sharing coefficient of a star gear system test piece， the sensitivity of the manufacturing and assembling errors is obtained， the method of reducing the static load sharing coefficient by adjusting offset phase of star gears is proposed， and how to synchronize the eccentricity phase of planetary gear during assembly process illustrated by a star gear system test piece.关键词：Fan drive gearbox;Offset phase synchronization;Load sharing coefficient
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发布时间：2022-11-10 - 摘要：When the polar coordinate method is used to measure the involute tooth profile deviation of cylindrical gear，the contact point between the spherical probe and the tooth profile changes constantly on the spherical surface of the probe. The roundness error of the ball probe will affect the measurement accuracy. In order to solve this problem，an ellipse ball probe is used to simulate the roundness error of the ball probe，and a calculation method is proposed to calculate the measurement error produced by the ellipsoid probe itself. This method is used to calculate and analyze the measurement errors of different types of probes when measuring gears of different specifications. The size and variation rules of the measurement errors of elliptical ball probes under various conditions are summarized.关键词：Polar coordinate method;Ellipsoid probe;Involute tooth profile;Error calculation
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发布时间：2022-11-10
Development·Application
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