Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-23T12:56:34.773Z Has data issue: false hasContentIssue false
  • English
  • Français

Natural Vibrations of Repetitive Structures

Published online by Cambridge University Press:  05 May 2011

Dajun Wang  and
C.-C. Wang
Dajun Wang*
Affiliation:
Dept. of Mechanics and Engineering Science, Peking University, Beijing, China
C.-C. Wang*
Affiliation:
Dept. of Mechanical Engineering and Materials Science, Rice University Houston, Texas, U.S.A.
*
*Professor
*Professor
Get access

Abstract

Natural vibration frequencies and modes of repetitive structures, including symmetric, periodic, linking structures, are considered in this work. By using the repetition of the identical parts, we reduce the eigenvalue problem of the structure to a set of eigenvalue problems of lower dimensions associated with the parts. Special forms and properties of the modes of natural vibrations are observed.

Keywords

Natural vibrationsModesRepetitive structuresSymmetric structuresPeriodic structuresLinking structuresEigenvalue problem
Type
Articles
Information
Journal of Mechanics , Volume 16 , Issue 2 , June 2000 , pp. 85 - 95
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Evnsen, D. A., “Vibration Analysis of Multi-Symmetric Structures,” AIAA J, 14(4), pp. 446–453 (1976).CrossRefGoogle Scholar
2Thomas, D. L., “Dynamics of Rotational Periodic Structures,” Inter. J. Numerical Methods in Engrg, 14, pp. 81–102 (1979).CrossRefGoogle Scholar
3Cai, C. W. and Wu, F. G., “On the Vibration of Rotational Periodic Structures,” Acta Scientiarum Naturalium Universitatis Sunyatseni, 22(3), pp. 1–9 (1983).Google Scholar
4Cai, C. W., Cheung, Y. K. and Chan, H. C., “Uncoupling of Dynamic Equations for Periodic Structures,” J. Sound and Vibration, 139(2), pp. 253–263 (1990).CrossRefGoogle Scholar
5Chan, H. C., Cai, C. W. and Cheung, Y. K., “Exact Analysis of Structures with Periodicity Using U-Transformation,” World Scientific (1998).Google Scholar