On frequencies of elastic beams with random imperfections

D. O. Bliven; T. T. Soong

doi:10.1016/0016-0032(69)90002-7

On frequencies of elastic beams with random imperfections

D. O. Bliven
, T. T. Soong

Department of Civil, Structural & Environmental Engineering

SUNY Buffalo

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

Based upon a lumped-parameter model approach followed by a passage to the limit, a method is presented for the analysis of natural frequencies of elastic beams having randomly varying characteristics. The randomness may be due to material inhomogeneities or geometrical imperfections. Statistical properties of the transverse vibrational frequencies of a simply supported elastic beam are derived assuming that the beam stiffness varies with position in a random manner.

Original language	English
Pages (from-to)	297-304
Number of pages	8
Journal	Journal of the Franklin Institute
Volume	287
Issue number	4
DOIs	https://doi.org/10.1016/0016-0032(69)90002-7
State	Published - Apr 1969

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title = "On frequencies of elastic beams with random imperfections",

abstract = "Based upon a lumped-parameter model approach followed by a passage to the limit, a method is presented for the analysis of natural frequencies of elastic beams having randomly varying characteristics. The randomness may be due to material inhomogeneities or geometrical imperfections. Statistical properties of the transverse vibrational frequencies of a simply supported elastic beam are derived assuming that the beam stiffness varies with position in a random manner.",

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AU - Soong, T. T.

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N2 - Based upon a lumped-parameter model approach followed by a passage to the limit, a method is presented for the analysis of natural frequencies of elastic beams having randomly varying characteristics. The randomness may be due to material inhomogeneities or geometrical imperfections. Statistical properties of the transverse vibrational frequencies of a simply supported elastic beam are derived assuming that the beam stiffness varies with position in a random manner.

AB - Based upon a lumped-parameter model approach followed by a passage to the limit, a method is presented for the analysis of natural frequencies of elastic beams having randomly varying characteristics. The randomness may be due to material inhomogeneities or geometrical imperfections. Statistical properties of the transverse vibrational frequencies of a simply supported elastic beam are derived assuming that the beam stiffness varies with position in a random manner.

UR - https://www.scopus.com/pages/publications/0014494057

U2 - 10.1016/0016-0032(69)90002-7

DO - 10.1016/0016-0032(69)90002-7

M3 - Article

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VL - 287

SP - 297

EP - 304

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 4

ER -

On frequencies of elastic beams with random imperfections

Abstract

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