Results 71 to 80 of about 12,056 (269)

Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers

Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.
ABSTRACT Convergence rates of block iterations for solving Hermitian eigenvalue problems typically measure the errors of Ritz values approximating eigenvalues. These errors are usually bounded in terms of principal angles between the initial or iterative subspace and the invariant subspace associated with the target eigenvalues.
Ming Zhou, Andrew Knyazev, Klaus Neymeyr
wiley   +1 more source

Analytic Buckling Solution of Composite Classical Rectangular Thin Plates Using Galerkin Variational Approach

Advances in Civil Engineering, Volume 2025, Issue 1, 2025.
This paper focuses on investigating the mechanical buckling behavior of composite and orthotropic classical rectangular plates using the Galerkin theory. By utilizing the classical plate theory of elasticity, the governing equations for the functionally graded plate material subjected to a uniaxially distributed load along the x and y axes are derived ...
Thompson Edozie Okeke, Festus Chukwudi Onyeka, Uzor Onyia, Benjamin Nnamdi Ekwueme, Meng Gao   +4 more
wiley   +1 more source

A semi-analytical method for dynamic analysis of a rectangular plate with general boundary conditions based on FSDT

Reviews on Advanced Materials Science, 2022
In this paper, the unified Jacobi–Ritz method (JRM) is utilized to analyze the dynamic response of rectangular plates with general boundary conditions.
Jia Di, Gao Cong, Yang Yuliang, Pang Fuzhen, Li Haichao, Du Yuan   +5 more
doaj   +1 more source

Approximation of the critical buckling factor for composite panels [PDF]

, 2012
This article is concerned with the approximation of the critical buckling factor for thin composite plates. A new method to improve the approximation of this critical factor is applied based on its behavior with respect to lamination parameters and ...
A Henrot, A Lewis, A Todoroki, A Todoroki, AY Abu-Odeh, B Rousselet, B Szabó, CG Diaconu, CP Simon, D Bettebghor, Dimitri Bettebghor, F Bloom, H Fukunaga, I Stakgold, JE Herencia, JE Herencia, JL Grenestedt, JL Grenestedt, JL Grenestedt, JM Whitney, JN Reddy, KC Kiwiel, LD Akulenko, M Autio, M Dauge, M Miki, M Walker, MS Ashbaugh, MW Bloomfield, Nathalie Bartoli, Y Terada   +30 more
core   +1 more source

Influence of Slenderness Ratio on Buckling Behavior of Reinforced Concrete Columns: A Finite Element Analysis

Advances in Materials Science and Engineering, Volume 2025, Issue 1, 2025.
Reinforced concrete columns (RCCs) are critical load‐bearing elements in structural systems, where stability is often governed by buckling, particularly in slender members subjected to axial compression. While extensive studies exist on column buckling, there remains a need for integrated approaches that couple analytical formulations with advanced ...
Rajib Karmaker, Mohammad Redwneul Hoque, Ujjwal Kumar Deb, Andrea Grilli   +3 more
wiley   +1 more source

Analytical method comparison on critical force of the stepped column model of telescopic crane

Advances in Mechanical Engineering, 2018
The calculation of the critical force of the stepped column model of telescopic boom crane is the key to stability calculation of all-terrain crane. In slightly bending theory, differential equation can be built up, and then the deflection curve of ideal
Fenglin Yao, Wenjun Meng, Jie Zhao, Zhanjiao She, Guoshan Shi   +4 more
doaj   +1 more source

Variational calculations for resonance oscillations of inhomogeneous plasmas [PDF]

The electrostatic resonance properties of an inhomogeneous plasma column are reported by application of the Rayleigh-Ritz method. A description of the rf equation of motion and pressure term that expresses the system of equations in Euler-Lagrange form ...
Crawford, F. W., Peng, Y. K. M.
core   +1 more source

Investigation on Principal Stress Rotation and Instability Mechanism of Coal Pillar Induced by Key Strata Bending Deformation Near Goaf

International Journal of Energy Research, Volume 2025, Issue 1, 2025.
Coal mining will lead to rock strata bending deformation and the redistribution of stress field. The change of principal stress magnitude and direction will influence the failure zone distribution of the coal pillar, which determines the stability and safety of roadway near goaf. In this paper, a theoretical model is established to analyze the rotation
Yunjiang Sun, Daohan Li, Yuhao Feng, Jianan Wang, Shuai Guo, Luyu Wang   +5 more
wiley   +1 more source

High--order connected moments expansion for the Rabi Hamiltonian [PDF]

, 2010
We analyze the convergence properties of the connected moments expansion (CMX) for the Rabi Hamiltonian. To this end we calculate the moments and connected moments of the Hamiltonian operator to a sufficiently large order.
C. Stubbins, D. Horn, F. M. Fernandez, F. Pan, H. Cramer, I. Bartashevich, J. Cioslowski, J. Cioslowski, J. Cioslowski, J. Cioslowski, J. Cioslowski, J. D. Mancini, J. D. Mancini, J. D. Mancini, J. D. Mancini, J. K. L. MacDonald, K. C. Lee, L. Samaj, M. G. Marmorino, N. S. Witte, P. A. F. M. Fernandez, P. Knowles, R. F. Bishop, R. Kubo, V. Fessatidis, V. Fessatidis, V. Fessatidis, V. Fessatidis, W. J. Massano   +28 more
core   +3 more sources

On the Rayleigh-Ritz variational method

, 2022
We give a simple proof of the well known fact that the approximate eigenvalues provided by the Rayleigh-Ritz variational method are increasingly accurate upper bounds to the exact ones. To this end, we resort to the variational principle, mentioned in most textbooks on quantum chemistry, and to a well known set of projection operators.
openaire   +2 more sources