Statistical models in vibration analysis

Authors

  • H.G. Davies Dept. of Mech. Engng., Univ. of New Brunswick, Fredericton, NB, Canada
  • M.A. Wahab Dept. of Mech. Engng., Univ. of New Brunswick, Fredericton, NB, Canada
  • S.I. Khandoker Dept. of Mech. Engng., Univ. of New Brunswick, Fredericton, NB, Canada

Keywords:

vibrations, statistical models, vibration analysis, complicated dynamic structures, simple coupled-beams structure, statistical energy analysis, power flow

Abstract

Statistical models are often used in the analysis of vibration levels of complicated dynamic structures, particularly at high frequencies when the high numbers of modes involved in the vibration make both the usual modal analysis and also numerical analysis unfeasible. Results from such models often compare favourably with experimental results. A particular simple coupled-beams structure is considered here. The vibration analysis is carried out within the framework of statistical energy analysis. In particular, results for the power flow from one beam to another are obtained. An ensemble of similar structures is constructed by varying the lengths of the beams. Exact values of the mean and standard deviation of the power flow are calculated for this ensemble. Approximate results from statistical models of the structure, including the statistical energy analysis result, are shown to compare very well with the exact results

Additional Files

Published

1983-04-01

How to Cite

1.
Davies H, Wahab M, Khandoker S. Statistical models in vibration analysis. Canadian Acoustics [Internet]. 1983 Apr. 1 [cited 2026 May 13];11(2):37-44. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/503

Issue

Vol. 11 No. 2 (1983)

Section

Technical Articles

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