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TORSIONAL VIBRATION ANALYSIS OF GEAR-BRANCHED SYSTEMS BY FINITE ELEMENT METHOD

✍ Scribed by J.-S. WU; C.-H. CHEN

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 286 KB
Volume: 240
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.3197

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✦ Synopsis

The purpose of this paper is to present a simple approach for eliminating the &&dependent'' torsional angles existing in the reduction gears of a gear-branched system so that this system may be modelled as an equivalent straight-geared (or direct-transmitted) system. Then the overall mass matrix, damping matrix, sti!ness matrix, and load vector of the direct-transmitted system are obtained with the conventional "nite element method (FEM) by assembling the elemental property matrices of all the shaft elements contained in the torsional system. Based on the overall property matrices determined, the equations of motion of the whole vibrating system are de"ned. Solution of the equations of motion gives the dynamic responses and solution of the associated eigenvalue equation provides the natural frequencies and the mode shapes of the system. A simple technique is also presented to study the in#uence of the shaft mass on the natural frequencies of a torsional system.

2001 Academic Press

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