Results 61 to 70 of about 1,668 (228)
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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THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD
International Journal for Computational Civil and Structural Engineering, 2017 For thin elastic plates of arbitrary shape with a smooth pinched or hinged contour based on the modified Rayleigh-Ritz method, explicit expressions are obtained for the approximate values of the maximum deflection from a uniformly distributed load, the ...
Gaik A. Manuylov
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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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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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Rayleigh-Ritz variational approximation and symmetry nonrestoration [PDF]
Physics Letters B, 1996 The investigation of symmetry nonrestoration scenarios has led to a controversy, with certain nonperturbative approximation schemes giving indications in sharp disagreement with those found within conventional perturbation theory. A Rayleigh-Ritz variational approach to the problem, which might be useful in bridging the gap between perturbative and ...
openaire +2 more sources
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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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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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
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