Computer Implementation of an Optimal Conformal Mapping for Gear Tooth Stress Analysis

1989 ◽  
Vol 111 (2) ◽  
pp. 297-305 ◽  
Author(s):  
M. J. Richard ◽  
D. Pare ◽  
A. Cardou
Keyword(s):  
Conformal Mapping ◽  
Stress Analysis ◽  
Computer Aided Design ◽  
Gear Tooth ◽  
Spur Gear ◽  
Concentrated Load ◽  
New Approach ◽  
Gear Teeth ◽  
Aided Design ◽  
Mapping Theory

This paper describes a computerized version of the complex potential approach which is a comprehensive mathematical model for the stress analysis of spur gear teeth. The entire procedure is a basic application of Hirano’s conformal mapping theory in which laws of elasticity have been combined. The main concepts of the method have been explained in previous publications but the work described herein is an appreciable extension of this relatively new approach. The algorithm is eminently well-suited for computer-aided-design of gear teeth; it serves as the basis for an interactive computer program which can model a gear tooth and can calculate the stresses and displacements within the tooth when subjected to a concentrated load. Results are compared with AGMA’s and other published values.

Numerical Implementation of Complex Potentials for Gear Tooth Stress Analysis

1981 ◽  
Vol 103 (2) ◽  
pp. 460-465 ◽  
Author(s):  
A. Cardou ◽  
G. V. Tordion
Keyword(s):  
Mathematical Programming ◽  
Conformal Mapping ◽  
Stress Analysis ◽  
Gear Tooth ◽  
Spur Gear ◽  
Complex Potentials ◽  
Numerical Implementation ◽  
Gear Teeth ◽  
Transformation Parameters

Stresses in spur gear teeth can be calculated by the complex potentials method, using a generalization of Hirano’s conformal mapping. Mathematical programming is used to fit the transformation to a given profile as closely as desired. Complete formulas for stresses and displacements are given in terms of the transformation parameters. Results are compared with other published values.

scholarly journals Computer aided design of sequencing problem – the concept of Paint Shop 4.0

Mechanik ◽  
2018 ◽  
Vol 91 (7) ◽  
pp. 529-531
Author(s):  
Jolanta Krystek ◽  
Sara Alszer ◽  
Szymon Bysko
Keyword(s):  
Automotive Industry ◽  
Computer Aided Design ◽  
Industry 4.0 ◽  
Paint Shop ◽  
Actual Structure ◽  
New Approach ◽  
Digital Factory ◽  
Sequencing Problem ◽  
Car Body ◽  
Aided Design

Presented is the concept of paint shop operation for the automotive industry – Paint Shop 4.0, based on the ideas of Industry 4.0 and Digital Factory. A new approach to the issue of car body sequencing, taking into account the actual structure of the paint shop department with buffers, has been presented. In the created application, proprietary car body sequencing algorithms were implemented.

SYDEM: A New Approach to Computer-Aided Design of Assemblies and Assemblability Testing

1992 ◽  
pp. 469-479 ◽  
Author(s):  
Tosiyasu L. Kunii ◽  
Tsukasa Noma ◽  
Kyu-Jae Lee
Keyword(s):  
Computer Aided Design ◽  
New Approach ◽  
Computer Aided ◽  
Aided Design

scholarly journals Research on the Design and Modification of Asymmetric Spur Gear

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Xiaohe Deng ◽  
Lin Hua ◽  
Xinghui Han
Keyword(s):  
Computer Aided Design ◽  
Design Method ◽  
Geometric Model ◽  
Simulation Method ◽  
Transmission Error ◽  
Spur Gear ◽  
Geometric Shape ◽  
Spur Gears ◽  
Gear Design ◽  
Aided Design

A design method for the geometric shape and modification of asymmetric spur gear was proposed, in which the geometric shape and modification of the gear can be obtained directly according to the rack-cutter profile. In the geometric design process of the gear, a rack-cutter with different pressure angles and fillet radius in the driving side and coast side was selected, and the generated asymmetric spur gear profiles also had different pressure angles and fillets accordingly. In the modification design of the gear, the pressure angle modification of rack-cutter was conducted firstly and then the corresponding modified involute gear profile was obtained. The geometric model of spur gears was developed using computer-aided design, and the meshing process was analyzed using finite element simulation method. Furthermore, the transmission error and load sharing ratio of unmodified and modified asymmetric spur gears were investigated. Research results showed that the proposed gear design method was feasible and desired spur gear can be obtained through one time rapid machining by the method. Asymmetric spur gear with better transmission characteristic can be obtained via involute modification.

scholarly journals Study of Lubricant Jet Flow Phenomena in Spur Gears

1975 ◽  
Vol 97 (2) ◽  
pp. 283-288 ◽  
Author(s):  
L. S. Akin ◽  
J. J. Mross ◽  
D. P. Townsend
Keyword(s):  
Motion Picture ◽  
High Speed ◽  
Drop Size ◽  
Gear Tooth ◽  
Jet Flow ◽  
Spur Gear ◽  
Spur Gears ◽  
Gear Teeth ◽  
Flow Phenomena ◽  
Oil Jet

Lubricant jet flow impingement and penetration depth into a gear tooth space were measured at 4920 and 2560 using a 8.89-cm- (3.5-in.) pitch dia 8 pitch spur gear at oil pressures from 7 × 104 to 41 × 104 N/m2 (10 psi to 60 psi). A high speed motion picture camera was used with xenon and high speed stroboscopic lights to slow down and stop the motion of the oil jet so that the impingement depth could be determined. An analytical model was developed for the vectorial impingement depth and for the impingement depth with tooth space windage effects included. The windage effects on the oil jet were small for oil drop size greater than 0.0076 cm (0.003 in.). The analytical impingement depth compared favorably with experimental results above an oil jet pressure of 7 × 104 N/m2 (10 psi). Some of this oil jet penetrates further into the tooth space after impingement. Much of this post impingement oil is thrown out of the tooth space without further contacting the gear teeth.

Curvature Estimation for Metrology of Non-Rigid Parts

2013 ◽  
Author(s):  
Ali Aidibe ◽  
Souheil-Antoine Tahan
Keyword(s):  
Residual Stresses ◽  
Manufacturing Process ◽  
Computer Aided Design ◽  
Cad Model ◽  
New Approach ◽  
Profile Deviation ◽  
Defect Area ◽  
Computer Aided ◽  
Curvature Estimation ◽  
Aided Design

At the end of the manufacturing process, engineers need to know if a manufactured part fits its computer-aided design (CAD) model and how is the amplitude of inherent variation of manufacturing process. Non-rigid parts, at free state condition, may have a significant different form than their CAD model due to gravity loads; residual stresses induced distortion and/or assembly load. Today, a complicated and expensive specialized fixture is needed to conform these parts. To tackle the above challenges, we present in this paper a new approach for metrology of fixtureless non-rigid parts. This approach combines the curvature properties of manufactured parts with the extreme value statistic test as identification method to distinguish profile deviation due to the manufacturing process from part’s deformation due to the flexibility of the part and to determine whether the tolerance fits the CAD model or no. This approach is tested on simulated typical industrial sheet metal giving satisfying results in terms of percentage of errors in defect area and in peak profile deviation estimated.

Exact Stress Distribution in Standard Gear Teeth and Geometry Factors

1973 ◽  
Vol 95 (4) ◽  
pp. 1159-1163 ◽  
Author(s):  
C. N. Baronet ◽  
G. V. Tordion
Keyword(s):  
Stress Distribution ◽  
Gear Tooth ◽  
Theory Of Elasticity ◽  
Tooth Profile ◽  
Two Dimensional ◽  
Dimensional Theory ◽  
Concentrated Load ◽  
Gear Teeth ◽  
Pressure Angle ◽  
Surface Stresses

Using the two-dimensional theory of elasticity and an appropriate transform function, the stress distribution in a gear tooth acted on by a concentrated load has been obtained. Computations were carried out for the 20 and 25-deg pressure angle, standard full-depth system, for numbers of teeth ranging from 20 to 150. The intensities of the maximum static surface stresses along the root fillets are given for different loading positions on the tooth profile. Some of the results are compared with others found in the literature.

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