Journal ArticleDOI
Vibration of non-uniform rods and beams
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In this article, it was shown that for some non-uniform rods and beams the equation of motion can be transformed into the equation for a uniform rod or beam, and when the ends are completely fixed, the eigenvalues of the nonuniform continuum are the same as those of uniform rods or beams.About:
This article is published in Journal of Sound and Vibration.The article was published on 1995-08-31. It has received 219 citations till now. The article focuses on the topics: Boundary value problem & Beam (structure).read more
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Journal ArticleDOI
Free vibration analysis of axially functionally graded tapered Bernoulli–Euler microbeams based on the modified couple stress theory
Bekir Akgöz,Ömer Civalek +1 more
TL;DR: In this article, the vibration response of non-homogenous and non-uniform microbeams is investigated in conjunction with Bernoulli-Euler beam and modified couple stress theory, where boundary conditions of the microbeam are considered as fixed at one end and free at the other end.
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A new approach for free vibration of axially functionally graded beams with non-uniform cross-section
Yong Huang,Xian-Fang Li +1 more
TL;DR: In this article, a simple approach is presented to solve natural frequencies of free vibration of axially functionally graded beams with non-uniform cross-section for various end supports including simply supported, clamped, and free ends.
Journal ArticleDOI
Free vibration and stability of tapered Euler–Bernoulli beams made of axially functionally graded materials
TL;DR: In this paper, the free vibration and stability of axially functionally graded tapered Euler-Bernoulli beams were studied through solving the governing differential equations of motion. But, the convergence rate of the conventional differential transform method (DTM) does not necessarily converge to satisfactory results, and a new approach based on DTM called differential transform element method (DTEM) is introduced which considerably improves the convergence of the method.
Journal ArticleDOI
Characterization of acoustic black hole effect using a one-dimensional fully-coupled and wavelet-decomposed semi-analytical model
TL;DR: In this article, the authors presented a semi-analytical model to analyze an Euler-Bernoulli beam with embedded ABH feature and its full coupling with the damping layers coated over its surface.
Journal ArticleDOI
Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method
TL;DR: In this paper, the free vibration problems of non-uniform Euler-Bernoulli beam under various supporting conditions were dealt with using the Adomian modified decomposition method (AMDM).