Vibrations of a beam and related statistical properties

In this work, we analyze the statistical properties of an ensemble of beams subject to vibrational loading. We consider the effect of variations in length and other parameters of the beam and its response. In this context, we precisely define low- and high-frequency regimes. Moreover, a simple stati...

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Bibliographic Details
Published inMathematical and computer modelling Vol. 34; no. 5; pp. 657 - 675
Main Authors Bernhard, R.J., Milner, F.A., Rabbiolo, G.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.09.2001
Elsevier Science
Subjects
Beam vibration
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
High frequency
Physics
Solid mechanics
Structural and continuum mechanics
Structural mechanics (beam, string...)
Theory and numerical methods
Thresholds
Variation of response
Waves and wave propagation: general mathematical aspects
Thresholds
High frequency
Beam vibration
Variation of response
Frequency range
Vibration
Parameter variation
Low frequency
Response
Wave propagation
Loading
Length
Response variability
Statistical model
Beam theory
Frequency
Mathematical model
Threshold
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ISSN0895-7177
1872-9479
DOI10.1016/S0895-7177(01)00090-5

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Summary:In this work, we analyze the statistical properties of an ensemble of beams subject to vibrational loading. We consider the effect of variations in length and other parameters of the beam and its response. In this context, we precisely define low- and high-frequency regimes. Moreover, a simple statistical model is proposed that is valid in the high-frequency range.
ISSN:0895-7177
1872-9479
DOI:10.1016/S0895-7177(01)00090-5