Results 1 to 10 of about 278 (106)

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

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

Nonlinear 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, Youssri Youssri Hassan, Atta Ahmed Gamal   +2 more
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An Efficient Petrov–Galerkin Scheme for the Euler–Bernoulli Beam Equation via Second-Kind Chebyshev Polynomials

Fractal and Fractional
The current article introduces a Petrov–Galerkin method (PGM) to address the fourth-order uniform Euler–Bernoulli pinned–pinned beam equation. Utilizing a suitable combination of second-kind Chebyshev polynomials as a basis in spatial variables, the ...
Youssri Hassan Youssri, Waleed Mohamed Abd-Elhameed, Amr Ahmed Elmasry, Ahmed Gamal Atta   +3 more
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A Unified Numerical Approach to the Dynamics of Beams with Longitudinally Varying Cross-Sections, Materials, Foundations, and Loads Using Chebyshev Spectral Approximation

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

Applied 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, Wael G. Al-Kouz, Anas M. Atieh   +2 more
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Natural vibrations of double bi-directional functionally graded Euler–Bernoulli beams connected by a variable Winkler elastic layer

Journal 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
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Vibration response of viscoelastic nanobeams including cutouts under moving load

Results 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, Rabab A. Shanab, Mohamed A. Eltaher, Alaa A. Abdelrahman   +3 more
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3D Airborne EM Forward Modeling Based on Time-Domain Spectral Element Method

Remote 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, Zonghui Gao, Yang Su, Yunhe Liu, Xin Huang, Xiuyan Ren, Bin Xiong   +6 more
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Wilkinson Polynomials: Accuracy Analysis Based on Numerical Methods of the Taylor Series Derivative

Desimal, 2020
Some of the numeric methods for solutions of non-linear equations are taken from a derivative of the Taylor series, one of which is the Newton-Raphson method. However, this is not the only method for solving cases of non-linear equations.
Vera Mandailina, Syaharuddin Syaharuddin, Dewi Pramita, Malik Ibrahim, Habib Ratu Perwira Negara   +4 more
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TO THE POSSIBILITY OF TRANSITION FROM THE PRACTICE APPROACHED TO THE EXACTLY DETERMINATION OF TISSUE DEFORMATIONS, CLOTHING

Алматы технологиялық университетінің хабаршысы, 2021
The possibilities of transition from the practice of approximate determination of deformations of fabrics, clothes by the “Chebyshev networks” method to their accurate assessment are described.

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