Influence of Worktable Errors on the Pascal Limacon Gear Pitch Curve

2019 ◽  
Vol 12 (2) ◽  
pp. 138-145
Author(s):  
Yazhou Wang ◽  
Yongping Liu
Keyword(s):  
Slight Effect ◽  
Angle Error ◽  
Distance Error ◽  
Accuracy Index ◽  
Comprehensive Method ◽  
Highly Sensitive ◽  
Noncircular Gears ◽  
Pitch Curve ◽  
The Mathematical Model ◽  
Center Distance

Background: More and more noncircular gears are reported in various relevant patents and papers. The Pascal limacon gear is one kind of noncircular gears and widely used in many mechanisms. The pitch curve is a key accuracy index for the noncircular gears and influenced by many errors, included worktable errors. Objective: The goal of this paper is to analyze the influence of worktable errors on the Pascal limacon gear’s pitch curve. Methods: Firstly, according to the mathematical model for hobbing Pascal limacon gear, a vector expression for the Pascal limacon gear pitch curve errors caused by the worktable rotary angle error and the center distance error was derived. Then, with consideration of the above errors, a comprehensive method was proposed, and the Pascal limacon gear pitch curve errors were calculated. The concept of the sensitivity degree of the errors of the Pascal limacon gear pitch curve to the center distance was proposed. Thirdly, the influence of the center distance errors on the pitch curve could be assessed. Results: Using one Pascal limacon gear as an example, the results show that the worktable rotary angle error has a slight effect on the Pascal limacon gear pitch curve, and the center distance error has a great effect on the Pascal limacon gear pitch curve. Conclusion: The Pascal limacon gear pitch curve error is highly sensitive to the center distance error near the polar angles of π/ 2 and 3π / 2.

Study on Deformed Limacon Gear and Motion Optimization of Its Serial Mechanism

2011 ◽  
Vol 133 (6) ◽  
Author(s):  
Liu Dawei ◽  
Ren Tingzhi
Keyword(s):  
Continuous Caster ◽  
Transmission Ratio ◽  
Linkage Mechanism ◽  
Kinematic Formula ◽  
Motion Optimization ◽  
Noncircular Gears ◽  
Pitch Curve ◽  
The Mathematical Model ◽  
Center Distance ◽  
Serial Mechanism

In order to obtain the nonsinusoidal oscillation wave of continuous caster molds, a vibration generator comprised of an eccentric shaft and a new kind of noncircular gears called deformed limacon gear pair is proposed. The pitch curve equations of limacon gears are described based on the cosine rule. According to the closed property of noncircular pitch curves and residue theorem, the center distance between a limacon gear and its conjugate gear is deduced, as well as their transmission ratio and the pitch curve equations of the conjugate gear. Subsequently, the mathematical model of deformed limacon gears with dissymmetrical transmission ratio in one period is established and the kinematic formula of the serial mechanism is presented for optimization by a modified genetic algorithm. Here, a computer program is developed for optimizing the gear linkage mechanism to meet requirements in practice and results show that expected motion can be achieved by deformed gear linkage mechanism, which can provide a new choice for application.

Research on the Friction Performance of Bionic Surface Based on the Clamber Animal Foot Pad

2013 ◽  
Vol 427-429 ◽  
pp. 298-301
Author(s):  
Chun Jian Su ◽  
Zhou Yu Fu ◽  
Hui Sun ◽  
Xiao Shen
Keyword(s):  
Sliding Friction ◽  
External Surface ◽  
Surface Friction ◽  
Friction Mechanism ◽  
Micro Particles ◽  
Bionic Surface ◽  
Friction Performance ◽  
Foot Pad ◽  
The Mathematical Model ◽  
Center Distance

The clamber animal foot pads were researched by the Super Depth of Field3D Microscopic System marked VHX-600 and the flexible non-smooth surface friction mechanism of clamber animal foot pad was analysed through bionic tribology. The total friction includes two aspects: a) The sliding friction caused by the adsorbability between clamber animal foot pad and external surface. b) The embedding resistance caused by the external surface micro particles embedded into clamber animal foot pad. The mathematical model of single convex hull was built and the different center distance bionic surfaces were designed, the friction contact simulation of bionic surface was done by ANSYS and the friction performance of bionic surface was verified through the plane friction testbed.

scholarly journals Output error of converse piezoelectric fiber voltage sensor caused by optical fiber factors

2019 ◽  
Vol 16 (6) ◽  
pp. 172988141988152
Author(s):  
Han Rui Yang ◽  
Li Qiao ◽  
Lin Lin Xia ◽  
Shi Bo Xu ◽  
Yi Chang Guo ◽  
...  
Keyword(s):  
Significant Influence ◽  
Voltage Sensor ◽  
Angle Error ◽  
Output Error ◽  
Output Performance ◽  
Length Difference ◽  
System Output ◽  
Test Voltage ◽  
Converse Piezoelectric Effect ◽  
The Mathematical Model

In fiber voltage sensor, imperfect fiber splicing angle and length difference between the sensing fiber and the compensating fiber usually influence the system output performance. This article established the mathematical model of the system output error using the Jones matrix and analyzed the relationship between the system output error and the above two error factors, respectively. The results show that the angle error of 90° splice has a significant influence on the system output, and the tolerance of angle error varies with different test voltages. When the test voltage is higher than 6 kV, if the expected system error is less than 0.02%, the splicing angle error should be less than 0.15°. Additionally, the length difference also has a significant influence on the system output accuracy. The length difference between sensing fiber and compensating fiber should be less than 1 µm when the test voltage is 110 kV so that the system can meet the accuracy requirements of IEC 0.2s. This research provides a reference for the development of fiber voltage sensor based on the converse piezoelectric effect and also provides a basis for the design of intelligent power detection robot system.

scholarly journals Design of Vegetable Pot Seedling Pick-up Mechanism with Planetary Gear Train

2020 ◽  
Vol 33 (1) ◽  
Author(s):  
Zhipeng Tong ◽  
Gaohong Yu ◽  
Xiong Zhao ◽  
Pengfei Liu ◽  
Bingliang Ye
Keyword(s):  
Design Method ◽  
Planetary Gear ◽  
Gear Train ◽  
Dimensional Synthesis ◽  
Planetary Gear Train ◽  
Key Points ◽  
Physical Prototype ◽  
Noncircular Gears ◽  
Pitch Curve ◽  
Parameter Values

Abstract It has been challenging to design seedling pick-up mechanism based on given key points and trajectories, because it involves dimensional synthesis and rod length optimization. In this paper, the dimensional synthesis of seedling pick-up mechanism with planetary gear train was studied based on the data of given key points and the trajectory of the endpoint of seedling pick-up mechanism. Given the positions and orientations requirements of the five key points, the study first conducted a dimensional synthesis of the linkage size and center of rotation. The next steps were to select a reasonable solution and optimize the data values based on the ideal seedling trajectory. The link motion was driven by the planetary gear train of the two-stage gear. Four pitch curves of noncircular gears were obtained by calculating and distributing the transmission ratio according to the data. For the pitch curve with two convex points, the tooth profile design method of incomplete noncircular gear was applied. The seedling pick-up mechanism was tested by a virtual prototype and a physical prototype designed with the obtained parameter values. The results were consistent with the theoretical design requirements, confirming that the mechanism meets the expected requirements for picking seedlings up. This paper presents a new design method of vegetable pot seedling pick-up mechanism for an automatic vegetable transplanter.

Study on Meshing Characteristic and CAM Technology of Eccentric Involute Gears

2012 ◽  
Vol 479-481 ◽  
pp. 917-920
Author(s):  
Yong Ping Liu ◽  
Peng Fei Meng ◽  
Chi Bing Hu
Keyword(s):  
Design Method ◽  
Shape Design ◽  
Digital Manufacturing ◽  
Transmission Characteristics ◽  
Systemic Theory ◽  
Theoretical Design ◽  
Parameterized Modeling ◽  
Involute Gears ◽  
Noncircular Gears ◽  
Pitch Curve

According to the meshing principle of noncircular gears, the meshing characteristic and digital manufacturing technology of eccentric involute gears is studied. Based on analyzing the parameterized modeling of pitch curve, transmission characteristics and convex-concave property on eccentric involute gears, the transmission feasibility of this type gear is proved. Through tooth shape design, CAM calculation and processing simulation, the validity and manufacturability of theoretical design method on this type gear is proved. The research results can provide more systemic theory basis for the design, manufacture, measure and application of eccentric involute gears.

Research on NC Dressing of Involute Grinding Wheel

2010 ◽  
Vol 455 ◽  
pp. 132-136
Author(s):  
Xiao Zhong Ren ◽  
Ya Hui Wang ◽  
Jian Xin Su
Keyword(s):  
Mathematical Model ◽  
Simulation Experiment ◽  
Grinding Wheel ◽  
Accuracy Index ◽  
Programming Tool ◽  
Involute Gears ◽  
The Mathematical Model

Aiming at the dressing of involute grinding wheel, the mathematical model of involute interpolation is established. Taking the normal tolerance δ as accuracy index, the dense degree of interpolation points can be changed constantly with the change of developable angle increment △θ so that the numbers of interpolation points can meet the requirements not only for interpolating accuracy, but for interpolating efficiency. The wheel dressing software developed by using VC++ as programming tool can be applied for dressing the involute grinding wheel which can be used to grind involute gears with different teeth and modules. The results of simulation experiment verify the feasibility and correctness of the software.

Mathematical Model of Cam Profile Based on Heald Frame Motion Characteristics

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Honghuan Yin ◽  
Hongbin Yu ◽  
Junqiang Peng ◽  
Hongyu Shao
Keyword(s):  
Mathematical Model ◽  
Simulation Analysis ◽  
Kinematics Simulation ◽  
Movement Characteristics ◽  
Cam Profile ◽  
Motion Characteristics ◽  
Pitch Curve ◽  
Frame Motion ◽  
The Mathematical Model ◽  
The Given

In this paper, the transmission process of the heald frame driven by the dobby is analyzed. The equivalent motion model of the dobby modulator, the eccentric mechanism, and the motion transmission unit are constructed. Then, based on the given movement characteristics of the heald frame, the mathematical model is built to achieve the cam pitch curve and the cam profile of the modulator. The numerical solution method for this is developed. The preparation of a mathematical model for the new concept of the solving cam profile based on the motion characteristics of heald frames is explained in this study. By setting a 11th polynomial motion law of the heald frame, due to the inconsistency between the outward and return motion laws of the crank-rocker mechanism, an asymmetrical cam profile is obtained under the premise of ensuring that the heald frame’s ascending and descending motions are consistent. Through the kinematics simulation analysis, the correctness of the reverse process is verified.

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