Mathematical Model of Unbalanced Response of Spindle System of Ultra-High Speed Grinder

Chang He Li; Chao Du; Yu Cheng Ding

doi:10.4028/www.scientific.net/SSP.175.196

Paper Titles

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Synthesis and Numerical Analysis on Velocity and Pressure Field of Convex Diamond Film
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Mathematical Model of Unbalanced Response of Spindle System of Ultra-High Speed Grinder
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An Accurate Method for Calculating the Contact Subsurface Stress Field of Hybrid Ceramic Ball Bearing
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HomeSolid State PhenomenaSolid State Phenomena Vol. 175Mathematical Model of Unbalanced Response of...

Mathematical Model of Unbalanced Response of Spindle System of Ultra-High Speed Grinder

Abstract:

This study was focused on the theoretical modeling and numerical simulation about the unbalanced response of spindle system of ultra-high speed grinder. Based on the rotor dynamics, a theoretical model was established using the transfer matrix method. The moment balance equations, and the transition matrix, the state vector, field matrix of spindle system of ultra-high speed grinder were analyzed and calculated. The results showed that the amplitude of unbalance response increased by the same multiple as that of the amount of unbalance at different locations and at different speeds. Furthermore, the first order amplitude increased first and then decreased, and the maximum unbalance was located at the middle of the rotor; second order amplitude decreased first and then increased, and the maximum unbalance was located at the front end of the spindle; the third order amplitude decreased first and then increased, and the maximum unbalance was located at the back end of the spindle.

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Periodical:

Solid State Phenomena (Volume 175)

Pages:

196-200

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.175.196

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Online since:

June 2011

Authors:

Chang He Li, Chao Du, Yu Cheng Ding

Keywords:

Grinder, Mathematical Models, Spindle System, Unbalanced Response

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