Journal ArticleDOI
Free vibration of stepped beams: exact and numerical solutions
S.K. Jang,C.W. Bert +1 more
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This article is published in Journal of Sound and Vibration.The article was published on 1989-04-01. It has received 103 citations till now.read more
Citations
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Journal ArticleDOI
Vibration of a variable cross-section beam
TL;DR: In this paper, the governing equation is reduced to an ordinary differential equation in spatial coordinate for a family of cross-section geometries with exponentially varying width, and analytical solutions of the vibration of the beam are obtained for three different types of boundary conditions associated with simply supported, clamped and free ends.
Journal ArticleDOI
Vibration of an Euler-Bernoulli beam on elastic end supports and with up to three step changes in cross-section
TL;DR: In this paper, an analytical method is proposed to calculate the frequencies of beams with up to three step changes in cross-section, combining the classical clamped, pinned, sliding, free, general, and degenerate types of elastic end supports.
Journal ArticleDOI
Free vibration of a cantilevered beam with multiple steps: Comparison of several theoretical methods with experiment
TL;DR: In this article, the flexural-free vibration of a cantilevered beam with multiple cross-section steps is investigated theoretically and experimentally, and the convergence of several theoretical approaches and their effectiveness as analysis and design methods for multiple-stepped beams are also discussed.
Journal ArticleDOI
Free vibration analysis of beams on elastic foundation
David Thambiratnam,Yan Zhuge +1 more
TL;DR: In this article, a finite element method is developed and applied to treat the free vibration analysis of beams supported on elastic foundations, and the entire analysis is programmed to run on a microcomputer and with few elements modelling the beam, gives quick and reliable results.
Journal ArticleDOI
Free Vibration Behavior of Exponential Functionally Graded Beams with Varying Cross-section
TL;DR: In this paper, the free vibration of a functionally graded beam (FGB) with a variable cross-section was investigated, where material properties vary along the beam thickness only according to exponential distributions.
References
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Journal ArticleDOI
Transverse vibrations of non-uniform beams
TL;DR: In this paper, the free vibrations of elastic beams with nonuniform characteristics are investigated theoretically by a new method, which combines the advantages of a finite element approach and of a Rayleigh-Ritz analysis.
Journal ArticleDOI
Free vibration of beams with abrupt changes of cross-section
TL;DR: In this article, the effects of the groove dimensions on the frequency of free-free, square beams with a rectangular groove are discussed and the results are compared with those obtained by the simple beam theory.
Related Papers (5)
Free vibration of stepped beams: Higher mode frequencies and effects of steps on frequency
S.K. Jang,C.W. Bert +1 more