Analysis of a Cycloid Speed Reducer Considering Tooth Profile Modification and Clearance-Fit Output Mechanism

2017 ◽  
Vol 139 (3) ◽  
Author(s):  
Xuan Li ◽  
Chaoyang Li ◽  
Yawen Wang ◽  
Bingkui Chen ◽  
Teik C. Lim
Keyword(s):  
Performance Evaluation ◽  
Load Distribution ◽  
Transmission Error ◽  
Gear Ratio ◽  
Analytical Models ◽  
Distribution Analysis ◽  
Profile Modification ◽  
Proposed Model ◽  
Speed Reducer ◽  
Stress Transmission

The load distribution analysis plays a significant role in the performance evaluation of cycloid speed reducer. However, current analytical models usually ignore elastic deformation, clearances, or assembly errors. These factors must be considered for realistic performance evaluation of cycloid speed reducer. This paper proposes an analytical model for cycloid speed reducer based on unloaded tooth contact and load distribution analyses. The proposed model can predict the loads on various components of the speed reducer in the presence of clearances and eccentricity errors. The results are compared with those predicted by the cycloid speed reducer model based on theoretical geometry. The effect of radial and pin-hole clearances as well as eccentricity errors, on some key design factors, such as contact stress, transmission error, gear ratio, and load on bearing, is investigated. This study can be used to assist the optimal design of cycloid speed reducers.

Profile Modifications for Minimum Static Transmission Error in Cylindrical Gears

1998 ◽  
Author(s):  
Isaias Regalado ◽  
Donald R. Houser
Keyword(s):  
Load Distribution ◽  
Strong Relationship ◽  
Transmission Error ◽  
Gear Ratio ◽  
Spur Gears ◽  
Helical Gears ◽  
Involute Gears ◽  
Theoretical Advantage ◽  
Static Transmission Error ◽  
The Common

Abstract The theoretical advantage of conjugate action in involute gears is lost due to the deflection of the teeth under load and due to manufacturing and assembling errors. These factors produce instantaneous variations in the gear ratio commonly referred to as transmission error. The transmission error has been proven to have a strong relationship with the noise emitted by the transmission. In order to reduce the transmission error, the contacting surfaces of the gears are modified to compensate for the deflections and errors. These modifications may be performed in the direction of the profile, the lead or in a more general sense it may be topographical (defined point by point). This paper describes a non-iterative procedure for the calculation of the modifications for minimum transmission error based on a predefined load distribution. The results presented agree with the common practice for spur gears of tip relief in the direction of the profile and crowning in the direction of the lead, but for helical gears the need for a more complicated modification is observed.

Methods of Describing Plastic Gear Geometry After a Temperature Change With Application to the Prediction of Gear Load Distribution

2011 ◽  
Author(s):  
Sumanth Kashyap ◽  
Donald R. Houser ◽  
Zan Smith ◽  
Senthilvelan Selvaraj ◽  
James M. Casella ◽  
...  
Keyword(s):  
Thermal Expansion ◽  
Load Distribution ◽  
Gear Tooth ◽  
Linear Thermal Expansion ◽  
Transmission Error ◽  
Distribution Analysis ◽  
Element Analysis ◽  
Slope Change ◽  
Measuring Machine ◽  
Plastic Gears

In Polymer gears, the rise in temperature not only influences gear rigidity but also tooth geometry. This paper presents methods to represent the influence of temperature by change in micro-geometry and macro-geometry parameters of the gear tooth. These macro and micro-geometry parameters of gear are entered into advanced gear analysis programs such as those for performing load distribution analysis and transmission error prediction. This theoretical model assumes linear thermal expansion of the material of the gear. This model is verified using a Finite Element Analysis (FEA) of the gear tooth. Two approaches were successfully used to model the thermal expansion of the material, one being to change the module of the gear and the other being to apply a pressure angle slope change to the tooth form. The profile change was verified by elevating the temperature of plastic gears of several materials and then measuring them on a Gear–Co-ordinate Measuring Machine. The two approaches were used in compatible load analysis programs that produced essentially identical transmission error predictions.

Analytical Model of the Efficiency of Spur Gears: Study of the Influence of the Design Parameters

2011 ◽  
Author(s):  
Miguel Pleguezuelos ◽  
Jose´ I. Pedrero ◽  
Miryam B. Sa´nchez
Keyword(s):  
Load Distribution ◽  
Gear Ratio ◽  
Design Parameters ◽  
Spur Gears ◽  
Transmitted Power ◽  
Power Losses ◽  
Contact Ratio ◽  
Complete Study ◽  
Uniform Model ◽  
Analytical Expressions

An analytic model to compute the efficiency of spur gears has been developed. It is based on the application of a non-uniform model of load distribution obtained from the minimum elastic potential criterion and a simplified non-uniform model of the friction coefficient along the path of contact. Both conventional and high transverse contact ratio spur gears have been considered. Analytical expressions for the power losses due to friction, for the transmitted power and for the efficiency are presented. From this model, a complete study of the influence of some design parameters (as the number of teeth, the gear ratio, the pressure angle, the addendum modification coefficient, etc.) on the efficiency is presented.

A Comparison of Analytical Predictions With Experimental Measurements of Transmission Error of Misaligned Loaded Gears

1992 ◽  
Author(s):  
Harsh Vinayak ◽  
Donald R. Houser
Keyword(s):  
Experimental Data ◽  
Load Distribution ◽  
Theoretical Calculations ◽  
Data Acquisition System ◽  
Transmission Error ◽  
Test Facility ◽  
Experimental Measurements ◽  
Gear Pair ◽  
Prediction Program ◽  
Dynamic Transmission Error

Abstract This paper deals with the experimental study of dynamic transmission error of a gear pair. Two aspects of the experiment are discussed : 1) design of the test facility and data acquisition system and 2) comparison of transmission error and load distribution with experimental data. Several gears were tested under varying misalignments. A prediction program LDP (Load distribution Program) was used for theoretical calculations of dynamic transmission error.

scholarly journals Design, Modeling, and Testing of a Novel XY Piezo-Actuated Compliant Micro-Positioning Stage

Micromachines ◽  
2019 ◽  
Vol 10 (9) ◽  
pp. 581 ◽  
Author(s):  
Quan Zhang ◽  
Jianguo Zhao ◽  
Xin Shen ◽  
Qing Xiao ◽  
Jun Huang ◽  
...  
Keyword(s):  
Modal Analysis ◽  
Cross Coupling ◽  
Maximum Error ◽  
Analytical Models ◽  
Amplification Ratio ◽  
Proposed Model ◽  
Positioning Stage ◽  
Bridge Type ◽  
Amplification Mechanism ◽  
Coupling Error

A novel decoupled XY compliant micro-positioning stage, based on a bridge-type amplification mechanism and parallelogram mechanisms, is designed in this paper. Analytical models of the bridge-type amplification mechanism and parallelogram mechanisms are developed by Castigliano’s second theorem and a Beam constrained model. The amplification ratio, input stiffness, and output stiffness of the stage are further derived, based on the proposed model. In order to verify the theoretical analysis, the finite element method (FEM) is used for simulation and modal analysis, and the simulation results indicate that the errors of the amplification ratio, input stiffness, and output stiffness of the stage between the proposed model and the FEM results are 2.34%, 3.87%, and 2.66%, respectively. Modal analysis results show that the fundamental natural frequency is 44 Hz, and the maximum error between the theoretical model and the FEM is less than 4%, which further validates the proposed modeling method. Finally, the prototype is fabricated to test the amplification ratio, cross-coupling error, and workspace. The experimental results demonstrate that the stage has a relatively large workspace, of 346.1 μm × 357.2 μm, with corresponding amplification ratios of 5.39 in the X-axis and 5.51 in the Y-axis, while the cross-coupling error is less than 1.5%.

scholarly journals Exploring Analytical Models for Performability Evaluation of Virtualized Servers using Dynamic Resource

2019 ◽  
Vol 14 (5) ◽  
pp. 647
Author(s):  
Yonal Kirsal
Keyword(s):  
Resource Utilization ◽  
Blocking Probability ◽  
Spectral Expansion ◽  
Form Solution ◽  
Analytical Models ◽  
Mean Response Time ◽  
Proposed Model ◽  
Dynamic Resource ◽  
Mean Queue Length ◽  
Markov Reward

Virtualization of resources is a widely accepted technique to optimize resources in recent technologies. Virtualization allows users to execute their services on the same physical machine, keeping these services isolated from each other. This paper proposes the analytical models for performability evaluation of virtualized servers with dynamic resource utilization. The performance and avalability models are considered separately due to the behaviour of the proposed system. The well-known Markov Reward Model (MRM) is used for the solution of the analytical model considered together with an exact spectral expansion and product form solution. The dynamic resource utilization is employed to enhance the QoS of the proposed model which is another major issue in the performance characterization of virtulazilation. In this paper, the performability output parameters, such as mean queue length, mean response time and blocking probability are computed and presented for the proposed model. In addition, the performability results obtained from the analytical models are validated by the simulation (DES) results to show the accuracy and effectiveness of the proposed work. The results indicate the proposed modelling results show good agreement with DES and understand the factors are very important to improve the QoS.

scholarly journals A Fuzzy Rule-Based Expert System for Evaluating Intellectual Capital

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Mohammad Hossein Fazel Zarandi ◽  
Neda Mohammadhasan ◽  
Susan Bastani
Keyword(s):  
Performance Evaluation ◽  
Expert System ◽  
Intellectual Capital ◽  
Fuzzy Rule ◽  
Qualitative Evaluation ◽  
Linguistic Variables ◽  
Rule Based ◽  
Proposed Model ◽  
Linguistic Approach ◽  
Fuzzy Linguistic

A fuzzy rule-based expert system is developed for evaluating intellectual capital. A fuzzy linguistic approach assists managers to understand and evaluate the level of each intellectual capital item. The proposed fuzzy rule-based expert system applies fuzzy linguistic variables to express the level of qualitative evaluation and criteria of experts. Feasibility of the proposed model is demonstrated by the result of intellectual capital performance evaluation for a sample company.

scholarly journals An Updated Analytical Structural Pounding Force Model Based on Viscoelasticity of Materials

2016 ◽  
Vol 2016 ◽  
pp. 1-15 ◽  
Author(s):  
Qichao Xue ◽  
Chunwei Zhang ◽  
Jian He ◽  
Guangping Zou ◽  
Jingcai Zhang
Keyword(s):  
Vibration Control ◽  
Viscoelastic Model ◽  
Control Process ◽  
Model Performance ◽  
Analytical Models ◽  
Model Parameters ◽  
Force Model ◽  
Control Analysis ◽  
Proposed Model ◽  
Force Calculation

Based on the summary of existing pounding force analytical models, an updated pounding force analysis method is proposed by introducing viscoelastic constitutive model and contact mechanics method. Traditional Kelvin viscoelastic pounding force model can be expanded to 3-parameter linear viscoelastic model by separating classic pounding model parameters into geometry parameters and viscoelastic material parameters. Two existing pounding examples, the poundings of steel-to-steel and concrete-to-concrete, are recalculated by utilizing the proposed method. Afterwards, the calculation results are compared with other pounding force models. The results show certain accuracy in proposed model. The relative normalized errors of steel-to-steel and concrete-to-concrete experiments are 19.8% and 12.5%, respectively. Furthermore, a steel-to-polymer pounding example is calculated, and the application of the proposed method in vibration control analysis for pounding tuned mass damper (TMD) is simulated consequently. However, due to insufficient experiment details, the proposed model can only give a rough trend for both single pounding process and vibration control process. Regardless of the cheerful prospect, the study in this paper is only the first step of pounding force calculation. It still needs a more careful assessment of the model performance, especially in the presence of inelastic response.

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