Vibration Modeling of Machine Tool Spindles: A Calibrated Dynamic Stiffness Matrix Method

Omar Gaber; Seyed M. Hashemi

doi:10.4028/www.scientific.net/AMR.651.710

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 651Vibration Modeling of Machine Tool Spindles: A...

Vibration Modeling of Machine Tool Spindles: A Calibrated Dynamic Stiffness Matrix Method

Abstract:

The effects of spindles vibrational behavior on the stability lobes and the Chatter behavior of machine tools have been established. The service life has been observed to reducethe system natural frequencies. An analytical model of a multi-segment spinning spindle, based on the Dynamic Stiffness Matrix (DSM) formulation, exact within the limits of the Euler-Bernoulli beam bending theory, is developed. The system exhibits coupled Bending-Bending (B-B) vibration and its natural frequencies are found to decrease with increasing spinning speed. The bearings were included in the model usingboth rigid, simply supported, frictionless pins and flexible linear spring elements. The linear spring element stiffness is then calibrated so that the fundamental frequency of the system matches the nominal value.

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Periodical:

Advanced Materials Research (Volume 651)

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710-716

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.651.710

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Online since:

January 2013

Authors:

Omar Gaber, Seyed M. Hashemi

Keywords:

Dynamic Stiffness Method, Modal Analysis, Spindle Vibration

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