Journal ArticleDOI
New rational interpolation functions for finite element analysis of rotating beams
TLDR
In this article, a rotating beam finite element in which the interpolating shape functions are obtained by satisfying the governing static homogenous differential equation of Euler-Bernoulli rotating beams is developed.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 2008-03-01. It has received 84 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.read more
Citations
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Journal ArticleDOI
Dynamic stiffness method for inplane free vibration of rotating beams including Coriolis effects
J.R. Banerjee,David Kennedy +1 more
TL;DR: In this paper, the in-plane free vibration analysis of rotating beams using an exact dynamic stiffness method is addressed. But the analysis includes the Coriolis effects in the free vibratory motion as well as the effects of an arbitrary hub radius and an outboard force.
Journal ArticleDOI
Differential transformation and differential quadrature methods for centrifugally stiffened axially functionally graded tapered beams
TL;DR: In this article, the free bending vibration of rotating axially functionally graded (FG) Euler-Bernoulli tapered beams (ETB) with different boundary conditions are studied using Differential Transformation method (DTM) and differential quadrature element method of lowest order (DQEL).
Journal ArticleDOI
Free vibration of a rotating tapered Rayleigh beam: A dynamic stiffness method of solution
J.R. Banerjee,Dominic R. Jackson +1 more
TL;DR: In this article, a dynamic stiffness method for free vibration analysis of a rotating tapered Rayleigh beam is developed to investigate its free vibration characteristics, including the effects of centrifugal stiffening, an outboard force, an arbitrary hub radius and importantly the rotatory inertia (Rayleigh beam) are included in the analysis.
Journal ArticleDOI
Free vibration analysis using the transfer-matrix method on a tapered beam
Jung Woo Lee,Jung Youn Lee +1 more
TL;DR: In this article, a transfer-matrix method is developed to determine more accurate solutions to the free vibration characteristics of a tapered Bernoulli-Euler beam, in which the height of the cross-section along the length is linearly reduced.
Journal ArticleDOI
Free vibration analysis of bidirectional-functionally graded and double-tapered rotating micro-beam in thermal environment using modified couple stress theory
TL;DR: An improved mathematical model based on Timoshenko beam theory and modified couple stress theory is developed that includes the effects of geometric nonlinearity, spin-softening, Coriolis acceleration and high operating temperature as mentioned in this paper.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
An Introduction to the Finite Element Method
TL;DR: Second-order Differential Equations in One Dimension: Finite Element Models (FEM) as discussed by the authors is a generalization of the second-order differential equation in two dimensions.
Journal ArticleDOI
The special functions and their approximations
C. W. Clenshaw,Yudell L. Luke +1 more
Journal ArticleDOI
A new beam finite element for the analysis of functionally graded materials
TL;DR: In this article, a beam element based on first-order shear deformation theory is developed to study the thermoelastic behavior of functionally graded beam structures, and the stiffness matrix has super-convergent property and the element is free of shear locking.
Book
Introduction to Maple
TL;DR: The book begins with an introduction to computer algebra, the first steps to calculus on numbers, and variables and names and continues with such subjects as polynomials and rational functions, differentiation, integration and summation, simplification, and graphics.