Results 21 to 30 of about 81,251 (238)

Generalized stress field in granular soils heap with Rayleigh–Ritz method

open access: yesJournal of Rock Mechanics and Geotechnical Engineering, 2017
The stress field in granular soils heap (including piled coal) will have a non-negligible impact on the settlement of the underlying soils. It is usually obtained by measurements and numerical simulations.
Gang Bi
doaj   +1 more source

Modeling and neural network control of a soft manipulator

open access: yes工程科学学报, 2023
With the vigorous development of material synthesis, mechanical manufacturing, and computer technology, as well as the in-depth study of control theory and bionics, robotics has undergone tremendous changes in recent decades.
Yan YANG   +4 more
doaj   +1 more source

Vibration analysis of nanorods by the Rayleigh-Ritz method and truncated Fourier series

open access: yesResults in Physics, 2019
A solution procedure applicable for analyzing the free longitudinal vibration of nanorods is presented in this study. The longitudinal displacement of the nanorod is sought as a linear combination of a Fourier series and auxiliary trigonometric functions.
Siyuan Bao, Jinrui Cao, Shuodao Wang
doaj   +1 more source

Large Amplitude Free Vibration Analysis of Thin Rectangular Plates: Simple Closed-form Solutions

open access: yesNonlinear Engineering, 2013
Large amplitude free vibration behavior of thin, isotropic rectangular plate configurations are expressed in the form of simple closed-form solutions by using an application of the Ritz method based on coupled displacement fields.
Gunda Jagadish Babu
doaj   +1 more source

Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials

open access: yesMathematics, 2019
The aim of this paper is to solve a class of non-linear fractional variational problems (NLFVPs) using the Ritz method and to perform a comparative study on the choice of different polynomials in the method.
Harendra Singh   +2 more
doaj   +1 more source

A nested Krylov subspace method to compute the sign function of large complex matrices [PDF]

open access: yes, 2011
We present an acceleration of the well-established Krylov-Ritz methods to compute the sign function of large complex matrices, as needed in lattice QCD simulations involving the overlap Dirac operator at both zero and nonzero baryon density.
Bloch   +22 more
core   +1 more source

Comparison of an improved self-consistent lower bound theory with Lehmann’s method for low-lying eigenvalues

open access: yesScientific Reports, 2021
Ritz eigenvalues only provide upper bounds for the energy levels, while obtaining lower bounds requires at least the calculation of the variances associated with these eigenvalues. The well-known Weinstein and Temple lower bounds based on the eigenvalues
Miklos Ronto   +2 more
doaj   +1 more source

Analysis of concrete shallow funicular shells of rectangular plan

open access: yesCurved and Layered Structures, 2019
Analysis of concrete shallow funicular shells of rectangular plan with simply supported boundary conditions under static loads is performed using the Ritz method.
Sabermahany Hadi   +2 more
doaj   +1 more source

Numerical Solution of Fractional Diffusion Wave Equation and Fractional Klein–Gordon Equation via Two-Dimensional Genocchi Polynomials with a Ritz–Galerkin Method

open access: yesComputation, 2018
In this paper, two-dimensional Genocchi polynomials and the Ritz–Galerkin method were developed to investigate the Fractional Diffusion Wave Equation (FDWE) and the Fractional Klein–Gordon Equation (FKGE).
Afshan Kanwal, Chang Phang, Umer Iqbal
doaj   +1 more source

On the Convergence of Ritz Pairs and Refined Ritz Vectors for Quadratic Eigenvalue Problems

open access: yes, 2015
For a given subspace, the Rayleigh-Ritz method projects the large quadratic eigenvalue problem (QEP) onto it and produces a small sized dense QEP. Similar to the Rayleigh-Ritz method for the linear eigenvalue problem, the Rayleigh-Ritz method defines the
A. Neumaier   +30 more
core   +1 more source

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