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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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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
wiley +1 more source
Shock and Vibration, 2016 This paper presents free vibration analysis of open and closed shells with arbitrary boundary conditions using a spectro-geometric-Ritz method. In this method, regardless of the boundary conditions, each of the displacement components of open and closed ...
Dongyan Shi +4 more
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Vibration Analysis of a Pipeline System Based on Model Truncation
Shock and Vibration, Volume 2025, Issue 1, 2025.Designing a complex pipeline for a floating production storage and offloading (FPSO), particularly over long distances, presents significant challenges in vibration analysis. Traditional modeling methods, which often assume finite lengths and simple configurations, fall short as they do not account for the integrality and locality of long spans and the
Huawei Han +5 more
wiley +1 more source
Recurrence Relations in the Rayleigh-Ritz Method [PDF]
Progress of Theoretical Physics Supplement, 2000 We report a novel approach for finding upper-bounds for energy levels in quantum systems. This method uses the Rayleigh-Ritz method in conjunction with an expansion series solution of the Schrodinger equation. In the traditional Rayleigh-Ritz method, a N × N matrix is diagonalized to find the N coefficients of a N -term series expansion solution.
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Quasicomparison Functions and Substructure Synthesis for Framed Structures Stability Analysis
Latin American Journal of Solids and StructuresThe Rayleigh-Ritz-Meirovitch substructure synthesis method (RRMSSM) is extended to buckling analysis in framed structures. The objective is a computational procedure capable of yielding very accurate critical loads through solution of very-low-order ...
J. I. Colombo, C. A. Morales
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The Effect of the Cusp on the Rate of Convergence of the Rayleigh-Ritz Method [PDF]
, 2001 This paper investigates how smoothing the Hamiltonian and the cusp of the corresponding eigenfunction affects the rate of convergence of the Rayleigh-Ritz method. A simple example from quantum mechanics is used, with a basis of harmonic oscillator functions.
Ioana Sîrbu, Harry F. King
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Bending and Deformation of Sandwich Panels Due to Localized Pressure
ITB Journal of Engineering Science, 2005 Bending and deformation of sandwich panels due to localized pressure were analyzed using both Rayleigh-Ritz and finite element methods. The faces were made of laminated composite plates, while the core was a honeycomb material.
Bambang K. Hadi, A. Fajar
doaj
Shock and Vibration, 2017 This paper presents free and forced vibration analysis of airtight cylindrical vessels consisting of elliptical, paraboloidal, and cylindrical shells by using Jacobi-Ritz Method.
Fuzhen Pang +4 more
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On the application of the Rayleigh–Ritz method to a projected Hamiltonian
Journal of Mathematical ChemistryWe apply the well known Rayleigh-Ritz method (RRM) to the projection of a Hamiltonian operator chosen recently for the extension of the variational principle to ensemble states. By means of a toy model we show that the RRM eigenvalues approach to those of the projected Hamiltonian from below.
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