Abstract
Vibration modes obtained from a modal analysis can be better explained from a screw theoretical standpoint. A vibration mode can be geometrically interpreted as a pure rotation about the vibration center in a plane and as a twisting motion on a screw in a three dimensional space. This paper presents a method to diagonalize a spatial stiffness matrix by use of a parallel axis congruence transformation when the stiffness matrix satisfies some conditions. It also describes that the diagonalized stiffness matrix can have the planes of symmetry depending on the location of the center of elasticity. For a system with the planes of symmetry, the vibration modes can be expressed by the axes of vibration. Analytical solutions for the axes of vibration have been derived. A niimerical example of an application to the vibration analysis of an optical disc drive has been presented.
Original language | English |
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Title of host publication | 17th Biennial Conference on Mechanical Vibration and Noise |
Publisher | American Society of Mechanical Engineers (ASME) |
Pages | 1361-1369 |
Number of pages | 9 |
ISBN (Electronic) | 9780791819777 |
DOIs | |
Publication status | Published - 1999 |
Event | ASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States Duration: 1999 Sep 12 → 1999 Sep 16 |
Publication series
Name | Proceedings of the ASME Design Engineering Technical Conference |
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Volume | 7A-1999 |
Conference
Conference | ASME 1999 Design Engineering Technical Conferences, DETC 1999 |
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Country/Territory | United States |
City | Las Vegas |
Period | 99/9/12 → 99/9/16 |
Bibliographical note
Publisher Copyright:Copyright © 1999 by ASME
All Science Journal Classification (ASJC) codes
- Mechanical Engineering
- Computer Graphics and Computer-Aided Design
- Computer Science Applications
- Modelling and Simulation