Results 61 to 70 of about 12,395 (174)
Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM
Shock and Vibration, 2007 Eigenfunction convergence characteristics of the finite element method and the Rayleigh-Ritz method with quasicomparison functions (RRMM) are compared. The RRMM has previously proved to be superior in comparing eigenvalue convergence characteristics. The
C.A. Morales, R. Goncalves
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Harmonic and Refined Harmonic Shift-Invert Residual Arnoldi and Jacobi--Davidson Methods for Interior Eigenvalue Problems [PDF]
, 2015 This paper concerns the harmonic shift-invert residual Arnoldi (HSIRA) and Jacobi--Davidson (HJD) methods as well as their refined variants RHSIRA and RHJD for the interior eigenvalue problem.
Jia, Zhongxiao, Li, Cen
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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
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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 +4 more
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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 +3 more
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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 +5 more
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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 +4 more
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On‐Orbit Global Mode Calculation and Characteristic Analysis of Four‐Wing Flexible Satellite
International Journal of Aerospace Engineering, Volume 2025, Issue 1, 2025.For a flexible satellite with four solar arrays symmetrically arranged on both sides (referred to as the four‐wing flexible satellite), a solar array dynamic equation is established by incorporating the stiffness matrix of the solar array drive assembly (SADA).
Guowei Jiang +5 more
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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.
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Accurate approximations to eigenpairs using the harmonic Rayleigh Ritz Method [PDF]
, 2001 The problem in this paper is to construct accurate approximations from a subspace to eigenpairs for symmetric matrices using the harmonic Rayleigh-Ritz method.
Eshof, J. van den, Sleijpen, G.L.G.
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