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A study on precision forging of spur gear forms and spline by the upper bound method

โœ Scribed by Hung-Hsiou Hsu


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
274 KB
Volume
44
Category
Article
ISSN
0020-7403

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โœฆ Synopsis


Precision forging is an important manufacturing procedure of spline and spur gear forms. It has advantages of improved strength, good tolerance, saving billet material, dispensing with the cutting, etc. In this paper, a mathematical model using an upper bound method is proposed for forging of spur gear forms and spline to investigate the plastic deformation behavior of billet within the die cavity. The material of solid billet was assumed as rigid-plastic and the shape of the tooth proรฟle was accounted for the mathematical modeling of the kinematically admissible velocity รฟeld assumed for the plastic zone. The non-uniform velocity was employed for simulating the inhomogeneous deformation and the e ect of barreling during the forging. Using the present model, various e ects of forming parameter such as the friction factor, reduction, number of teeth, etc. upon the non-dimensional forging pressure, forging force and barreling of the spur gear forms and spline were analyzed systematically and the results compared with those of other researcher's analytical and experimental work. It is shown that the present modeling of the process improves knowledge of the process design performance for the precision forging of spur gear form and spline.


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## Abstract The following article from __International Journal for Numerical Methods in Engineering__, Comments on โ€˜Upper bound solution to elasticity problems: A unique property of the linearly conforming point interpolation method (LCโ€PIM)โ€™ by G. R. Liu and G. Y. Zhang, published online on 19 Jun