Author
S.K. Jang
Bio: S.K. Jang is an academic researcher. The author has an hindex of 1, co-authored 1 publications receiving 98 citations.
Papers
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103 citations
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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.
167 citations
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.
90 citations
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.
89 citations
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.
83 citations
SIDI1
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.
Abstract: This paper presents a theoretical investigation in free vibration of a functionally graded beam (FGB) which has a variable cross-section. It is assumed that material properties vary along the beam thickness only according to exponential distributions (it is simply called E-FGB). The governing equation is reduced to an ordinary differential equation in spatial coordinate for a family of cross-section geometries with exponentially varying width. Analytical solutions of the natural frequencies are obtained for E-FG beams with clamped-free, hinged-hinged, and clamped-clamped end supports. Results show that the non-uniformity in the cross-section and the inhomogeneity in material properties influence the natural frequencies. It is also shown that, all other parameters remaining the same, the natural frequencies of E-FG beams are always proportional to those of homogeneous isotropic beams. Therefore, one can predict the behaviour of E-FG beams knowing that of similar homogeneous beams.
82 citations