Wave Vibration Analysis of Classical Multi-story Planar Frames

C. Mei

Abstract

This paper concerns free vibration analysis of in-plane vibrations in classical multi-story planar frame structures. An exact analytical solution is obtained using wave vibration approach. The coupling effects between bending and longitudinal vibrations in frames are taken into account. Classical beam theories are applied in modeling the flexural and longitudinal vibrations. Reflection matrices at “sliding” and “rolling” boundaries, as well as reflection and transmission matrices at the “L” and “T” joints are obtained. Numerical examples are presented along with comparisons to results available in literature.

References

  1. Bishop R. E. D. and Johnson D. C., 1960, The Mechanics of Vibration, Cambridge University Press, Great Britain.
  2. Cremer L., Heckl M. and Ungar E. E., 1987, StructureBorne Sound, Berlin: Springer-Verlag.
  3. Doyle J. F., 1989, Wave Propagation in Structures, New York: Spring - Verlag.
  4. Ginsberg J. H., 2001, Mechanical and Structural Vibrations, New York: John Wiley and Sons, Inc.
  5. Gladwell G. M. L., 1964, “The Vibration of Frames,” Journal of Sound and Vibration, 4, pp. 402-465.
  6. Graff K. F., 1975, Wave Motion in Elastic Solids, Ohio State University Press.
  7. Inman D. J., 1994, Engineering Vibrations, New Jersey: Prentice-Hall, Inc.
  8. Mei C., 2010, “In-plane vibrations of classical planar frame structures - an exact wave-based analytical solution,” Journal of Vibration and Control, 16(9), pp. 1265-1285.
  9. Meirovitch L., 2001, Fundamentals of Vibrations, McGraw Hill, New York.
  10. Petyt M., 1990, Introduction to Finite Element Vibration Analysis, Cambridge University Press, Great Britain.
  11. Vertes G., 1985, Structural Dynamics, Elsevier Science Publishers B.V., The Netherlands.
Download


Paper Citation


in Harvard Style

Mei C. (2012). Wave Vibration Analysis of Classical Multi-story Planar Frames . In Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-21-1, pages 488-493. DOI: 10.5220/0004035204880493


in Bibtex Style

@conference{icinco12,
author={C. Mei},
title={Wave Vibration Analysis of Classical Multi-story Planar Frames},
booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2012},
pages={488-493},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004035204880493},
isbn={978-989-8565-21-1},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Wave Vibration Analysis of Classical Multi-story Planar Frames
SN - 978-989-8565-21-1
AU - Mei C.
PY - 2012
SP - 488
EP - 493
DO - 10.5220/0004035204880493