scholarly journals Analysis of Contact Part of Error Tooth Surface and Dynamic Performance Prediction for Involute Gear

2017 ◽  
Vol 2017 ◽  
pp. 1-11
Author(s):  
Xinrong Liu ◽  
Zhonghou Wang
Keyword(s):  
Interpolation Method ◽  
Dynamic Performance ◽  
Linear Interpolation ◽  
Transmission Error ◽  
Discrete Data ◽  
Tooth Surface ◽  
Interpolation Algorithm ◽  
Involute Gear ◽  
Data Points ◽  
Contact Part

Aiming at the problem of constructing digital model of involute gear with error, the method of linear interpolation combined with area weight interpolation is proposed. Based on the non-feature discrete data block technique, the true tooth surface discrete data obtained by the coordinate measuring instrument is divided into blocks, and then the interpolation method is used to interpolate the nonmeasurement area to construct the real tooth surface with errors. The contact part and dynamic performance of the gear are predicted by using the constructed error tooth surface. The contact error of the tooth surface and the transmission error of the gear are verified by the test, and the reliability of the judgment result is judged by measuring the vibration in the direction of the gear meshing line. Compared with the example, this method not only reduces the computational complexity of the interpolation algorithm, but also improves the accuracy of the tooth interpolation data points and the smoothness of the error tooth surface.

Research on Interpolation Algorithm for DSSS Signal Receiver

2013 ◽  
Vol 313-314 ◽  
pp. 1279-1284
Author(s):  
Zhi Qun Yang
Keyword(s):  
Spread Spectrum ◽  
Test Performance ◽  
Optimal Algorithm ◽  
Linear Interpolation ◽  
Direct Sequence Spread Spectrum ◽  
Signal Acquisition ◽  
Interpolation Algorithm ◽  
Effective Technique ◽  
Parallel Acquisition ◽  
Data Points

For Direct Sequence Spread Spectrum (DSSS) receiver, a parallel acquisition algorithm based on FFT-IFFT is proposed to improve speed of the DSSS signal acquisition. In order to ensure the FFT data points is equal to a power of 2(2N), Interpolation Algorithm is always used. In this paper, three interpolation algorithms are introduced in detail, and they are analyzed theoretically and compared by quantitative simulation, the resources occupied and test performance verification. We draw the conclusion that the linear interpolation is the optimal algorithm which offers the effective technique for the implementation of DSSS signal receiver.

On the Modeling and Analysis of an Improved CNC Interpolation Algorithm

2009 ◽  
Vol 626-627 ◽  
pp. 459-464 ◽  
Author(s):  
Lei Luo ◽  
L. Wang ◽  
Jun Hu
Keyword(s):  
Interpolation Method ◽  
Control Points ◽  
Interpolation Algorithm ◽  
Modeling And Analysis ◽  
B Spline ◽  
Spline Curve ◽  
Spline Surface ◽  
Cnc Interpolation ◽  
Data Points ◽  
Back Calculation

An improved interpolation method is presented based on B-spline curve back calculation which regards data points as control points. First, a B-spline surface reconstruction is done, and a favorable condition for real-time interpolation can be provided for NC machining. Then, by prejudging the trajectory feedrate, the tangent vectors of spline curve junction can be calculated, which can be used to establish the spline curve equations based on time. At last, with the equations mentioned above, the trajectory and feedrate profile can be generated simultaneously by the improved interpolation algorithm. An error analysis is also discussed and the feasibility of the improved algorithm is verified by the simulation results.

Calculation Algorithms for Automobiles’ Acceleration Performance

2010 ◽  
Vol 26-28 ◽  
pp. 996-999
Author(s):  
Xian Yue Gang ◽  
Yue Han ◽  
Shu Feng Wang
Keyword(s):  
Interpolation Method ◽  
Dynamic Performance ◽  
Linear Interpolation ◽  
Test Results ◽  
Acceleration Time ◽  
Automobile Design ◽  
Optimal Power ◽  
Power Shift ◽  
Calculation Algorithms ◽  
Actual Test

Acceleration time, as an important dynamic performance index of an automobile, is classified as acceleration time of shift and acceleration time at a given gear to evaluate an automobile’s acceleration performance. Compared with the traditional calculation method, this proposed algorithm calculates an automobile’s speed of optimal-power shift by using linear interpolation; calculates the acceleration time using Gauss integral, and calculates the acceleration time to a given distance by combining conversion method and interpolation method. A numerical example is given and the actual test results indicate that this algorithm is fit for automobile design.

Shadow Detecting and Shadow Interpolation Algorithm for InSAS

2012 ◽  
Vol 605-607 ◽  
pp. 2121-2125 ◽  
Author(s):  
Sen Zhang ◽  
Ming Chen ◽  
Jin Song Tang
Keyword(s):  
Real Time ◽  
Interpolation Method ◽  
Linear Interpolation ◽  
Synthetic Aperture ◽  
Interpolation Algorithm ◽  
Synthetic Aperture Sonar ◽  
Shadow Area ◽  
Linear Interpolation Method

The shadow detecting algorithm based on the coherence and the Sigma filter is used to pick up the shadow of interferometric synthetic aperture sonar (InSAS), which can eliminate small separated shadow areas. To solve the problems such as great computer complexity of traditional Shepard interpolation method and large fluctuant of linear interpolation method for the large shadow area, an improved Shepard interpolation method is proposed. Interpolation boundary is picked up by using diffuse search, and interpolation source is adaptively chosen according to the size of shadow area. The method carries out a perfect tradeoff between performance and computer speed. Lake trial dataset is used to validate the performance of proposed method. The results indicate that the proposed method can eliminate the fluctuant from the linear interpolation method and can process in real time in the InSAS system.

Simulation and Implementation of an Improved Inscribed Chord Interpolation Algorithm

2013 ◽  
Vol 756-759 ◽  
pp. 3220-3224
Author(s):  
Hui Zhang ◽  
Qin Ruo Wang
Keyword(s):  
Interpolation Method ◽  
Linear Interpolation ◽  
Comparison Method ◽  
Interpolation Algorithm ◽  
Quadratic Curve ◽  
Operation Process ◽  
Curve Interpolation ◽  
Program Flow ◽  
Simulation Results ◽  
Chord Method

In order to improve the shortcomings of the realization of the traditional quadratic curve interpolation inscribed chord method, this paper proposes an improved internal chord interpolation algorithm. The program flow chart of the algorithm achievement and the interpolation method of circular arc interpolation and linear interpolation of a detailed operation process is given in this paper. Finally through a calculation example the simulation is conducted, and the point by point comparison method were compared. The simulation results show the improvement on the quadratic curve interpolation in the inner string interpolation speed, good flexibility, and it worth popularizing in the interpolation algorithm for real time interpolation.

Error-sensitivity analysis for hypoid gears using a real tooth surface contact model

2016 ◽  
Vol 231 (3) ◽  
pp. 507-521 ◽  
Author(s):  
Gang Li ◽  
Zhonghou Wang ◽  
Aizoh Kubo
Keyword(s):  
Sensitivity Analysis ◽  
Discrete Data ◽  
Tooth Surface ◽  
Analysis Model ◽  
Tooth Contact Analysis ◽  
Hypoid Gears ◽  
Error Sensitivity ◽  
Tooth Surfaces ◽  
Data Points ◽  
Error Sensitivity Analysis

Accurately and rapidly evaluated error sensitivity of actual tooth surfaces of hypoid gears can be a significant foundation for a variety of dynamic preference analysis and machine tool setting readjustments. Due to the complexity of local geometric features as well as the limitations of the data measurement on tooth surfaces of hypoid gears, automated error-sensitivity analysis for actual tooth surfaces still presents many substantial challenges. This paper presents a novel methodology for the error-sensitivity analysis of real tooth surfaces of hypoid gears. The methodology combines an error-sensitivity analysis model with a numerical analytical real tooth contact analysis (RTCA) model. The real tooth surfaces, describing local micro-geometry features on actual tooth surfaces, have been produced by 3D discrete data points reconstruction. In this method, the discrete data points on actual tooth surfaces are measured by using a coordinate measure machine (CMM). The location, size, and shape of contact patterns are determined from the predicted interference areas distribution by numerical analysis. In addition, the error-sensitivity analysis model is established for evaluation of the sensitivity of hypoid gears with real tooth surfaces that corresponds to misalignments. The results of experiment show that the proposed method can obtain actual contact properties that significantly improve the basic design performances significantly.

Study on Error in Interpolation Algorithm of the-5-DOF-Hybrid Robot

2013 ◽  
Vol 385-386 ◽  
pp. 695-698
Author(s):  
Ji Man Luo ◽  
Ming Shan Zhang ◽  
Yu Zhen An ◽  
Xiao Wei Sun
Keyword(s):  
Degrees Of Freedom ◽  
Convex Surface ◽  
Interpolation Method ◽  
Approximation Error ◽  
Linear Interpolation ◽  
Normal Vector ◽  
Interpolation Algorithm ◽  
Surface Machining ◽  
Set Up ◽  
Circular Interpolation

In order to improve the accuracy of the-5-DOF-hybrid robot motion control, it is necessary to establish a mathematical model of the error in the interpolation process. On the basis of the structure characteristics of five degrees of freedom hybrid robot and the algorithm of linear interpolation and circular interpolation, the error calculation patterns about the concave surface machining and convex surface machining are set up respectively in the paper. Then, examples are analyzed. The results show that the nonlinear error caused by using the straight-line interpolation method is much smaller than the normal vector rotation error and linear approximation error; when conducting surface machining, the error caused by the application of circular interpolation algorithm is less than linear interpolation error. By the comparison of the error analysis of different interpolation method, the control methods for reducing errors are proposed.

An experimental study on optimal spark timing control for improved performance of a flex fuel vehicle engine

2019 ◽  
Vol 234 (5) ◽  
pp. 1294-1303
Author(s):  
Junsang Yoo ◽  
Taeyong Lee ◽  
Pyungsik Go ◽  
Yongseok Cho ◽  
Kwangsoon Choi ◽  
...  
Keyword(s):  
Empirical Equation ◽  
Interpolation Method ◽  
Linear Interpolation ◽  
Combustion Characteristics ◽  
Combustion Stability ◽  
Timing Control ◽  
Vehicle Engine ◽  
Spark Timing ◽  
Linear Interpolation Method ◽  
Blended Fuels

In the American continent, the most frequently used alternative fuel is ethanol. Especially in Brazil, various blends of gasoline–ethanol fuels are widely spread. The vehicle using blended fuel is called flexible fuel vehicle. Because of several selections for the blending ratios in gas stations, the fuel properties may vary after refueling depending on a driver’s selection. Also, the combustion characteristics of the flexible fuel vehicle engine may change. In order to respond to the flexible fuel vehicle market in Brazil, a study on blended fuels is performed. The main purpose of this study is to enhance performance of the flexible fuel vehicle engine to target Brazilian market. Therefore, we investigated combustion characteristics and optimal spark timings of the blended fuels with various blending ratios to improve the performance of the flexible fuel vehicle engine. As a tool for prediction of the optimal spark timing for the 1.6L flexible fuel vehicle engine, the empirical equation was suggested. The validity of the equation was investigated by comparing the predicted optimal spark timings with the stock spark timings through engine tests. When the stock spark timings of E0 and E100 were optimal, the empirical equation predicted the actual optimal spark timings for blended fuels with a good accuracy. In all conditions, by optimizing spark timing control, performance was improved. Especially, torque improvements of E30 and E50 fuels were 5.4% and 1.8%, respectively, without affecting combustion stability. From these results, it was concluded that the linear interpolation method is not suitable for flexible fuel vehicle engine control. Instead of linear interpolation method, optimal spark timing which reflects specific octane numbers of gasoline–ethanol blended fuels should be applied to maximize performance of the flexible fuel vehicle engine. The results of this study are expected to save the effort required for engine calibration when developing new flexible fuel vehicle engines and to be used as a basic strategy to improve the performance of other flexible fuel vehicle engines.

Influence of the backlash generated by tooth accumulated wear on dynamic behavior of compound planetary gear set

2016 ◽  
Vol 231 (11) ◽  
pp. 2025-2041 ◽  
Author(s):  
Shijing Wu ◽  
Haibo Zhang ◽  
Xiaosun Wang ◽  
Zeming Peng ◽  
Kangkang Yang ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Dynamic Model ◽  
Dynamic Behavior ◽  
Planetary Gear ◽  
Tooth Wear ◽  
Transmission Error ◽  
Gear Transmission ◽  
Tooth Surface ◽  
Contact Ratio ◽  
The Impact

Backlash is a key internal excitation on the dynamic response of planetary gear transmission. After the gear transmission running for a long time under load torque, due to tooth wear accumulation, the backlash between the tooth surface of two mating gears increases, which results in a larger and irregular backlash. However, the increasing backlash generated by tooth accumulated wear is generally neglected in lots of dynamics analysis for epicyclic gear trains. In order to investigate the impact of backlash generated by tooth accumulated wear on dynamic behavior of compound planetary gear set, in this work, first a static tooth surface wear prediction model is incorporated with a dynamic iteration methodology to get the increasing backlash generated by tooth accumulated wear for one pair of mating teeth under the condition that contact ratio equals to one. Then in order to introduce the tooth accumulated wear into dynamic model of compound planetary gear set, the backlash excitation generated by tooth accumulated wear for each meshing pair in compound planetary gear set is given under the condition that contact ratio equals to one and does not equal to one. Last, in order to investigate the impact of the increasing backlash generated by tooth accumulated wear on dynamic response of compound planetary gear set, a nonlinear lumped-parameter dynamic model of compound planetary gear set is employed to describe the dynamic relationships of gear transmission under the internal excitations generated by worn profile, meshing stiffness, transmission error, and backlash. The results indicate that the introduction of the increasing backlash generated by tooth accumulated wear makes a significant influence on the bifurcation and chaotic characteristics, dynamic response in time domain, and load sharing behavior of compound planetary gear set.

Investigation of Noise Features of Planetary Gear Trains Based on Human Aural Characteristic

2017 ◽  
Author(s):  
Masao Nakagawa ◽  
Dai Nishida ◽  
Deepak Sah ◽  
Toshiki Hirogaki ◽  
Eiichi Aoyama
Keyword(s):  
Gear Tooth ◽  
Structural Complexity ◽  
Planetary Gear ◽  
Transmission Error ◽  
Sound Level ◽  
Tooth Surface ◽  
Surface Error ◽  
Planetary Gear Trains ◽  
Tooth Stiffness ◽  
Gear Trains

Planetary gear trains (PGTs) are widely used in various machines owing to their many advantages. However, they suffer from problems of noise and vibration due to the structural complexity and giving rise to substantial noise, vibration, and harshness with respect to both structures and human users. In this report, the sound level from PGTs is measured in an anechoic chamber based on human aural characteristic, and basic features of sound are investigated. Gear noise is generated by the vibration force due to varying gear tooth stiffness and the vibration force due to tooth surface error, or transmission error (TE). Dynamic TE is considered to be increased because of internal and external meshing. The vibration force due to tooth surface error can be ignored owing to almost perfect tooth surface. A vibration force due to varying tooth stiffness could be a major factor.

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