Derivatives of Eigenvalues for Torsional Vibration of Geared Shaft Systems

Design sensitivity analysis of natural frequency for geared shaft systems is of practical importance in the optimal design of these systems. This note provides a simple and easily implemented method to calculate the eigenvalue derivatives of a geared shaft system with respect to a design parameter ν...

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Bibliographic Details
Published in:Journal of vibration and acoustics 1993-07, Vol.115 (3), p.277-279
Main Authors: Zhong-Sheng, Liu, Su-Huan, Chen, Tao, Xu
Format: Article
Language:English
Subjects:
420200 - Engineering- Facilities, Equipment, & Techniques
Applied sciences
CALCULATION METHODS
Drives
EIGENVALUES
ENGINEERING
Exact sciences and technology
FREQUENCY ANALYSIS
GEARS
MACHINE PARTS
Mechanical engineering. Machine design
MECHANICAL SHAFTS
MECHANICAL VIBRATIONS
SHAFTS
TORSION
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Summary:Design sensitivity analysis of natural frequency for geared shaft systems is of practical importance in the optimal design of these systems. This note provides a simple and easily implemented method to calculate the eigenvalue derivatives of a geared shaft system with respect to a design parameter ν, including gear inertia J, shaft stiffness K, and transmission ratio Q, when the eigensolution is known. An example is given to illustrate the method.
ISSN:1048-9002
0739-3717
1528-8927
2161-9611
DOI:10.1115/1.2930345