Vibrations of a beam and related statistical properties

R. J. Bernhard, Fabio Milner, G. Rabbiolo

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)657-675
Number of pages19
JournalMathematical and Computer Modelling
Volume34
Issue number5-6
DOIs
StatePublished - Jul 6 2001
Externally publishedYes

Fingerprint

Statistical property
Vibration
Statistical Model
Low Frequency
Ensemble
Valid
Range of data
Statistical Models
Context
Statistical model

Keywords

  • Beam vibration
  • High frequency
  • Thresholds
  • Variation of response

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modeling and Simulation

Cite this

Vibrations of a beam and related statistical properties. / Bernhard, R. J.; Milner, Fabio; Rabbiolo, G.

In: Mathematical and Computer Modelling, Vol. 34, No. 5-6, 06.07.2001, p. 657-675.

Research output: Contribution to journalArticle

Bernhard, R. J. ; Milner, Fabio ; Rabbiolo, G. / Vibrations of a beam and related statistical properties. In: Mathematical and Computer Modelling. 2001 ; Vol. 34, No. 5-6. pp. 657-675.
@article{e7d7208a912746c8a0a093cca41e1861,
title = "Vibrations of a beam and related statistical properties",
abstract = "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.",
keywords = "Beam vibration, High frequency, Thresholds, Variation of response",
author = "Bernhard, {R. J.} and Fabio Milner and G. Rabbiolo",
year = "2001",
month = "7",
day = "6",
doi = "10.1016/S0895-7177(01)00090-5",
language = "English (US)",
volume = "34",
pages = "657--675",
journal = "Mathematical and Computer Modelling",
issn = "0895-7177",
publisher = "Elsevier Limited",
number = "5-6",

}

TY - JOUR

T1 - Vibrations of a beam and related statistical properties

AU - Bernhard, R. J.

AU - Milner, Fabio

AU - Rabbiolo, G.

PY - 2001/7/6

Y1 - 2001/7/6

N2 - 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.

AB - 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.

KW - Beam vibration

KW - High frequency

KW - Thresholds

KW - Variation of response

UR - http://www.scopus.com/inward/record.url?scp=0035816119&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035816119&partnerID=8YFLogxK

U2 - 10.1016/S0895-7177(01)00090-5

DO - 10.1016/S0895-7177(01)00090-5

M3 - Article

VL - 34

SP - 657

EP - 675

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

SN - 0895-7177

IS - 5-6

ER -