Results 61 to 70 of about 12,444 (221)
Journal of Marine Science and Engineering, 2020 Analytical method using Rayleigh–Ritz method has not been widely used recently due to intensive use of finite element analysis (FEA). However as long as suitable mode functions together with component mode synthesis (CMS) can be provided, Rayleigh–Ritz ...
Jeong Hee Park, Duck Young Yoon
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High Voltage, Volume 10, Issue 3, Page 660-672, June 2025.Abstract Within 30 min after live operation of gas‐insulated switchgear (GIS), more than 60% of discharge failures are caused by metallic particles. To address this issue, this study explored the vibration propagation mechanisms in GIS cavities and established an equivalent vibration transmission model.
Jian Wang +7 more
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Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 9, Page 1129-1149, 4 April 2025.Abstract Pore structure characteristics of cementitious materials play a critical role in the transport properties of concrete structures. This paper develops a novel framework for modeling chloride penetration in concrete, considering the pore structure‐dependent model parameters.
Liang‐yu Tong +5 more
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 3, March 2025.Abstract This study investigates the doublet structural model for analyzing nonhomogeneous Euler mass sensor nanobeams, incorporating the concept of doublet mechanics alongside Bernstein polynomials (BPs). BPs serve as basic functions within the Rayleigh–Ritz method, facilitating conversional governing equations into a geikneralized Eigenvalue problem.
Rajendran Selvamani +4 more
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Application of the Classical Rayleigh-Ritz Method in Dynamics of Circular Archces
Engineering Transactions, 1993 The paper deals with Rayleigh-Timoshenko and Bernoulli-Euler models of circular arches with extensible or inextensible axes clamped with free radial sliding at both ends.
B. Olszowski
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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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Estimates for the errors in the Rayleigh-Ritz method [PDF]
Pacific Journal of Mathematics, 1953 with homogeneous linear boundary conditions, denoted by (C). It is assumed that the parameter λ does not appear in the boundary conditions. The region R of the problem may be of any number of dimensions; the symbol ff(P)dP will mean an integral over /?, dP standing for the Euclidean volume element; (/, g) will stand for ff(P)g{P)dP; and ||/||, for (f ...
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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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