Results 1 to 10 of about 223 (72)

Buckling Behavior of Nanobeams Placed in Electromagnetic Field Using Shifted Chebyshev Polynomials-Based Rayleigh-Ritz Method [PDF]

open access: yesNanomaterials, 2019
In the present investigation, the buckling behavior of Euler−Bernoulli nanobeam, which is placed in an electro-magnetic field, is investigated in the framework of Eringen’s nonlocal theory.
Subrat Kumar Jena   +2 more
doaj   +2 more sources

A computational approach based on the fractional Euler functions and Chebyshev cardinal functions for distributed-order time fractional 2D diffusion equation

open access: yesAlexandria Engineering Journal, 2023
In this paper, the distributed-order time fractional diffusion equation is introduced and studied. The Caputo fractional derivative is utilized to define this distributed-order fractional derivative.
M.H. Heydari, M. Hosseininia, D. Baleanu
doaj   +1 more source

Euler-Chebyshev methods for integro-differential equations [PDF]

open access: yesApplied Numerical Mathematics, 1997
Some explicit methods are constructed and analysed for solving initial value problems for systems of integro-differential equations with expensive right hand side functions whose Jacobian has its stiff eigenvalues along the negative axis.
van der Houwen, P.J., Sommeijer, B.P.
openaire   +4 more sources

A Unified Numerical Approach to the Dynamics of Beams with Longitudinally Varying Cross-Sections, Materials, Foundations, and Loads Using Chebyshev Spectral Approximation

open access: yesAerospace, 2023
Structures with inhomogeneous materials, non-uniform cross-sections, non-uniform supports, and subject to non-uniform loads are increasingly common in aerospace applications. This paper presents a simple and unified numerical dynamics model for all beams
Haizhou Liu, Yixin Huang, Yang Zhao
doaj   +1 more source

On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials [PDF]

open access: yesJapan Journal of Industrial and Applied Mathematics, 2006
The authors generalize the Euler-Chebyshev method for the case when only a part of the roots of a polynomial is sought for. Local cubic convergence is proved for the case of sufficiently separated roots. Numerical experiments are given.
Iliev, Anton   +2 more
openaire   +2 more sources

Explicit Chebyshev Petrov–Galerkin scheme for time-fractional fourth-order uniform Euler–Bernoulli pinned–pinned beam equation

open access: yesNonlinear Engineering, 2023
In this research, a compact combination of Chebyshev polynomials is created and used as a spatial basis for the time fractional fourth-order Euler–Bernoulli pinned–pinned beam.
Moustafa Mohamed   +2 more
doaj   +1 more source

Vibration response of viscoelastic nanobeams including cutouts under moving load

open access: yesResults in Engineering, 2023
This manuscript presents a mathematical model and numerical solution to predict vibration responses of nonlocal strain gradient (NLS) perforated viscoelastic nanobeam under dynamic moving loads. The microstructure and size length scales are considered in
Norhan A. Mohamed   +3 more
doaj   +1 more source

Transverse Vibration of Functionally Graded Tapered Double Nanobeams Resting on Elastic Foundation

open access: yesApplied Sciences, 2020
The natural vibration behavior of axially functionally graded (AFG) double nanobeams is studied based on the Euler−Bernoulli beam and Eringen’s non-local elasticity theory.
Ma’en S. Sari   +2 more
doaj   +1 more source

Natural vibrations of double bi-directional functionally graded Euler–Bernoulli beams connected by a variable Winkler elastic layer

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2022
The free transverse vibrations of two-dimensional functionally graded double Euler–Bernoulli beam system connected through a variable Winkler elastic layer are presented.
Ma’en S Sari
doaj   +1 more source

3D Airborne EM Forward Modeling Based on Time-Domain Spectral Element Method

open access: yesRemote Sensing, 2021
Airborne electromagnetic (AEM) method uses aircraft as a carrier to tow EM instruments for geophysical survey. Because of its huge amount of data, the traditional AEM data inversions take one-dimensional (1D) models.
Changchun Yin   +6 more
doaj   +1 more source

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