Results 21 to 30 of about 4,672 (202)

An Approximate Solution of the Bending of Beams on a Nonlinear Elastic Foundation with the Galerkin Method [PDF]

Journal of Applied and Computational Mechanics
The analysis of beam deformation on elastic foundation is very important in engineering applications, and studies of beams on linear elastic foundations are abundant and accurate.
Junlong Jiang, Chencheng Lian, Baochen Meng, Huimin Jing, Xiang Fang, Ji Wang   +5 more
doaj   +1 more source

Convergence of the Galerkin method in the problem of electromagnetic wave diffraction on a system of solids and curvilinear screens

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The purpose of this study is to prove the convergence of the projection method in the problem of diffraction of electromagnetic waves by scatterers of a complex shape. Material and methods.
Aleksey A. Tsupak
doaj   +1 more source

Rib‐Reinforced Ultralight and Ultra‐Strong Shell Lattices

Advanced Science, EarlyView.
This study thoroughly reveals the relation between the curvature and stress direction of triply periodic minimal surface (TPMS) thin shell lattices and proposes a novel rib reinforcement design strategy to incorporate ribs along the line of asymptotes (LOA) and the line of principal curvatures (LOC) to enhance the strength of ultralight TPMS shell ...
Winston Wai Shing Ma, Lei Zhang, Junhao Ding, Shuo Qu, Michael Yu Wang, Xu Song, Ming Wang Fu   +6 more
wiley   +1 more source

A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations

Abstract and Applied Analysis, 2014
A new approach, Coiflet-type wavelet Galerkin method, is proposed for numerically solving the Volterra-Fredholm integral equations. Based on the Coiflet-type wavelet approximation scheme, arbitrary nonlinear term of the unknown function in an equation ...
Xiaomin Wang
doaj   +1 more source

Failure characteristics analysis of the inclined interlayer during water‐soluble cavity construction of underground salt caverns for large‐scale energy storage

Deep Underground Science and Engineering, EarlyView.
In the process of water‐soluble cavern construction of salt cavern energy storage, since the interlayer does not dissolve in water easily, sudden collapse will cause engineering accidents such as bending and damage of the inner tube of the cavern.
Zenghui Zhao, Tianyu Li, Qing Ma, Junlong Shang, Jiaze Du, Ruizhe He   +5 more
wiley   +1 more source

Evaluation of coupled finite element/meshfree method for a robust full-scale crashworthiness simulation of railway vehicles

Advances in Mechanical Engineering, 2016
The crashworthiness of a railway vehicle relates to its passive safety performance. Due to mesh distortion and difficulty in controlling the hourglass energy, conventional finite element methods face great challenges in crashworthiness simulation of ...
Zhao Tang, Feng Jia Liu, Shi Hui Guo, Jian Chang, Jian Jun Zhang   +4 more
doaj   +1 more source

Numerical solution for one-dimensional pure-convection problems using the high-order Taylor-Galerkin element-free method [PDF]

مهندسی عمران شریف
The present study proposes a novel approach for solving one-dimensional pure convection problems, utilizing a high-order Taylor Galerkin element-free method. The standard Galerkin method has limitations in solving such problems due to the predominance of
S. Espahbodi Nia, Ali Rahmani Firoozjaee
doaj   +1 more source

Perturbed Galerkin Method for Solving Integro-Differential Equations

Journal of Applied Mathematics, 2022
In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of ...
K. Issa, J. Biazar, T. O. Agboola, T. Aliu   +3 more
doaj   +1 more source

Numerical and experimental study on P‐wave propagation across a rock joint with different orientations

Deep Underground Science and Engineering, EarlyView.
Joint orientation significantly affects P‐wave velocity, with the highest velocity at zero‐degree angles, decreasing to 30° as the angle increases. The velocity increases slightly from 30 to 45 degrees but sharply decreases from 45 to 90 degrees. Abstract Determination of the required parameters in different science contexts using the ultrasonic wave ...
Yaghoob Zarei, Mojtaba D. fallahi, Ali Uromeihy, Mohammad R. Nikoodel, Mohammad Fathollahy   +4 more
wiley   +1 more source

L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Journal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Hyun Young Lee, Mi Ray Ohm, Jun Yong Shin   +2 more
doaj   +1 more source