Integration of beam functions

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Author(s)

  • A. Y T Leung

Detail(s)

Original languageEnglish
Pages (from-to)1087-1094
Journal / PublicationComputers and Structures
Volume29
Issue number6
Publication statusPublished - 1988
Externally publishedYes

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-0024133670&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(adb3eca3-1748-452a-afc1-3537565fa9f0).html

Abstract

The beam functions satisfying d4φ/dξ4 = β4φ with the associated boundary conditions are convenient admissible comparison functions for the approximated solutions of complex structural problems by the well known Rayleigh-Ritz method. Reliable integration formulae for products of various beam functions φ and ψ with an arbitrary function θ are essential. Felgar's recurrence formula for ∫ θφψ dξ is found to be in error and is corrected here. The condition when the characteristic values of θ and ψ are identical is also considered. A simple subroutine is given to evaluate ∫ θ(ξ)(dnφ/dξn)(dmψ/dξmdξ for all possible sets of boundary conditions. Applications to the free vibration of nonuniform beams and plate systems are demonstrated. © 1988.

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Publication fingerprints text

100
Integration Engineering
100
Boundary Condition Engineering
100
beams INIS
100
Beam Functions Keyphrases
50
Product Engineering
50
Application Engineering
50
Arbitrary Function Engineering
50
Rayleigh-Ritz Metho... Engineering
50
Error Engineering
50
Plate System Engineering
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Citation Format(s)

[ RIS ] [ BibTeX ]
Integration of beam functions. / Leung, A. Y T.
In: Computers and Structures, Vol. 29, No. 6, 1988, p. 1087-1094.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review