Skip to main content
Log in

The effect of random point excitation on the vibration level of plates

  • Materials & Fracture · Solids & Structures · Dynamics & Control · Production & Design
  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

When a mechanical structure is driven by stationary wide band random point forces, the resulting vibration depends upon the number, location, and joint statistical properties of the exciting forces. In this study, under the assumption of light damping, an approximate procedure for analyzing plates is briefly outlined. The effects of number, location and correlation of the force field on the vibration level are then investigated for various cases in which random point forces with band limited white noise are applied, and the optimal spacing between input forces that produces a relative minimum in the vibration response is predicted.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Crandall, S. H. and Mark, W. D., 1963,Random Vibration In Mechanical Systems, Academic Press, New York.

    Google Scholar 

  • Lee, S. S., 1976, “Lanes of Intensified Response in Structures Excited by Wideband Random Excitation,” PhD Thesis, Dept. of Mech. Eng. Massachusetts Institute of Technology, Cambridge, Massachusetts, U. S. A.

    Google Scholar 

  • Crandall, S. H. and Kulvets, A. P., 1977,Source Correlation Effects on Structural Responses, Application of Statistics, North Holland Publishing Co. New York, pp. 163–183.

    Google Scholar 

  • Itao, K. and Crandall, S. H., 1978, “Wideband Random Vibration of Circular Plates,” ASME Paper No. 77-DET-97,Transaction of ASME, Journal of Machine Design.

  • Crandall, S. H., 1979,Random Vibration of One and Two Dimensional Structures, Development in Statistics, Academic Press, New York, Vol. 2, pp. 1–88.

    Google Scholar 

  • Peng, H., 1987, “Acoustic Radiation From Plates Driven by Multiple Point Random Forces,” PhD Thesis, North Carolina State Univ., Raleigh, North Carolina, U.S.A.

    Google Scholar 

  • Oh, S. and Keltie, R. F., 1989, “Effects of Cross Correlation on the Wideband Vibration Level of Plates,” ASME Paper DE-Vol. 18-3.

  • Abdelnaser, A. S. and Singh, M. P., 1993, “Response of Symmetric Cross-Ply Laminated Plates With Levy-Type Boundary Conditions Under Random Loads,”Journal of Sound and Vibration, Vol. 166, No. 1, pp. 161–178.

    Article  MATH  Google Scholar 

  • Kang, H. and Kim, J., 1993, “Random Vibration of Coupled Beams,”Journal of Korean Society of Mechanical, Engineers, Vol. 17, No. 10, pp. 2491–2497.

    Google Scholar 

  • Chang, T. P., 1994, “Random Vibration Analysis of Non-Linear Hysteretic Plates,”Journal of Sound and Vibration, Vol. 172, No. 4, pp. 539–547.

    Article  MATH  Google Scholar 

  • Kim, J. and Chung, Y., 1995, “A Study on Optimization of Reference Spectrum for Improvement of Fixture Performance in Random Vibration Control,”Journal of Korean Society of Mechanical Engineers, Vol. 19, No. 1, pp. 284–291.

    Google Scholar 

  • Xu, Y. and Miles, R. N., 1996, “Full-Filled Random Bending Strain Measurement of a Plate from Vibration Measurement,”Journal of Sound and Vibration, Vol. 191, No. 5, pp. 847–858.

    Article  Google Scholar 

  • Han, F., Bernhard, R. J. and Mongeau, L. G., 1997, “Energy Flow Analysis of Vibration Beams and Plates for Discrete Random Excitations,”J. of Sound and Vibration, Vol. 208, No. 5, pp. 841–859.

    Article  Google Scholar 

  • Bonilha, M. W. and Fahy, F. J., 1998, “On the Vibration Field Correlation of Randomly Excited Flat Plate Structures, I: Theory,”J. of Sound and Vibration, Vol. 214, No. 3, pp. 443–467.

    Article  Google Scholar 

  • Shanker, K., 1998, “A Study on the Dynamic Stress Concentration Factors of a Flat Plate for Sea Applications,”J. of Sound and Vibration, Vol. 217, No. 1, pp. 97–111.

    Article  MathSciNet  Google Scholar 

  • Kang, J. and Kim, J., 1998, “Radiation Characteristics on a Stiffened Plate Structure,”Journal of Korean Society of Mechanical Engineers, Vol. 22, No. 4, pp. 879–886.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Myung-Jin Choi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Choi, MJ., Yoo, SM. & Kim, C.N. The effect of random point excitation on the vibration level of plates. KSME International Journal 16, 583–590 (2002). https://doi.org/10.1007/BF03184807

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03184807

Key Words

Navigation