NDLI: Vibration Analysis of Rotating Asymmetric Structures

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Shen, I. Y. Kim, Hyunchul
Copyright Year	2005
Abstract	This paper is to develop a unified algorithm to analyze vibration of spinning asymmetric rotors with arbitrary geometry and complexity. As a first approximation, the effects of housings and bearings are not included in this analysis. The unified algorithm consists of three steps. The first step is to conduct a finite element analysis on the corresponding stationary rotor to extract natural frequencies and mode shapes. The second step is to represent the vibration of the spinning rotor in terms of the mode shapes and their modal response in a coordinate system that is rotating with the spinning rotor. Through use of the Lagrange equation, one can derive the modal equation of motion. To construct the equation of motion explicitly, the results from the finite element analysis will be used to calculate the gyroscopic matrix, centrifugal stiffening (or softening) matrix, and generalized modal excitation vector. The third step is to solve the equation of motion to obtain the modal response, which, in turn, will lead to physical response of the rotor for a rotor-based observer or for a ground-based observer through a coordinate transformation. Finally, application of the algorithm to rotationally periodic rotors indicates that Campbell diagrams of the rotors will not only have traditional forward and backward branches as in axisymmetric rotors, but also have secondary resonances caused by higher harmonics resulting from the mode shapes. Calibrated experiments were conducted on an air bearing spindles carrying slotted circular disks to verify the theoretical predictions in the ground-based coordinates.
Sponsorship	Design Engineering Division and Computers and Information in Engineering Division
Starting Page	1979
Ending Page	1989
Page Count	11
File Format	PDF
ISBN	0791847381
DOI	10.1115/DETC2005-84036
e-ISBN	0791837661
Volume Number	Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C
Conference Proceedings	ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2005-09-24
Publisher Place	Long Beach, California, USA
Access Restriction	Subscribed
Subject Keyword	Spinning (textile) Approximation Vibration Bearings Rotors Air bearings Equations of motion Geometry Mode shapes Spin (aerodynamics) Algorithms Disks Resonance Excitation Finite element analysis Vibration analysis
Content Type	Text
Resource Type	Article

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