Free vibration of centrifugally stiffened axially functionally graded tapered Timoshenko beams using differential transformation and quadrature methods
TLDR
In this article, the free bending vibration of rotating axially functionally graded (FG) Timoshenko tapered beams (TTB) with different boundary conditions are studied using Differential Transformation method (DTM) and differential quadrature element method of lowest order (DQEL).About:
This article is published in Applied Mathematical Modelling.The article was published on 2013-03-15 and is currently open access. It has received 89 citations till now. The article focuses on the topics: Timoshenko beam theory & Functionally graded material.read more
Citations
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Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beams
TL;DR: In this paper, a coupled nonlinear longitudinal-transverse-rotational set of equations governing the motion of axially functionally graded (AFG) shear deformable tapered beams subjected to external harmonic excitations is derived.
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Nonlinear vibration of axially functionally graded tapered microbeams
TL;DR: In this article, the size-dependent vibration of a non-uniform axially functionally graded (AFG) microbeam is studied and the results can be used in designation of many microstructures such as micro electro mechanical systems (MEMS), micro-actuators, etc.
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Free vibration analysis of a rotating hub-functionally graded material beam system with the dynamic stiffening effect
TL;DR: In this paper, a dynamic model of a rotating hub-functionally graded material (FGM) beam system is developed based on a rigid-flexible coupled dynamics theory to study its free vibration characteristics.
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Nonlinear vibration of axially functionally graded non-uniform nanobeams
TL;DR: In this paper, the nonlinear vibration analysis of axially functionally graded (AFG) non-uniform nanobeams is performed based on Eringen's nonlocal theory and Euler-Bernoulli beam model.
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Comparison of modeling of the rotating tapered axially functionally graded Timoshenko and Euler–Bernoulli microbeams
TL;DR: In this paper, the authors present an exhaustive study on the small scale effect on vibrational behavior of a rotary tapered axially functionally graded (AFG) microbeam on the basis of Timoshenko and Euler-Bernoulli beam and modified couple stress theories.
References
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Book
Differential Quadrature and Its Application in Engineering
TL;DR: A Differential Quadrature Hierarchical Finite Element Method (DQEEM) based on Bernstein Polynomials is proposed in this paper for the analysis of doubly-curvel shell structures.
Journal ArticleDOI
FGM activities in Japan
TL;DR: The concept of functionally graded materials (FGMs) was proposed in 1984 by materials scientists in the Sendai area as a means of preparing thermal barrier materials as discussed by the authors, which results in gradients in such properties as mechanical strength and thermal conductivity.
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Differential quadrature and long-term integration
Richard Bellman,John Casti +1 more
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Vibration Modes of Centrifugally Stiffened Beams
TL;DR: In this paper, the exact frequencies and mode shapes for rotating beams in which both the flexural rigidity and the mass distribution vary linearly were solved using the Frobenius method.
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Solution of boundary value problems for integro-differential equations by using differential transform method
Aytac Arikoglu,Ibrahim Ozkol +1 more
TL;DR: The commonly encountered linear and nonlinear integro-differential equations that appear in literature are solved as an illustration for the efficiency of the differential transform method.
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