Search Results - "Rayleigh-Ritz method"

Vibration Control and Optimization Using Circular Non-Homogeneity Parameters.

Authors: Sapna Sharma, Amit Mani, Naveen et al.

Source: AppliedMath. Jun2026, Vol. 6 Issue 6, p83. 16p.

ДОСЛІДЖЕННЯ БІКВАДРАТИЧНОГО АНГАРМОНІЧНОГО ОСЦИЛЯТОРА НА ОСНОВІ НЕЛІНІЙНОГО ВАРІАЦІЙНОГО МЕТОДУ РЕЛЕЯ–РІТЦА. I. РОЗРАХУНОК ТА АНАЛІЗ РІВНІВ ЕНЕРГІЇ ТА ХВИЛЬОВИХ ФУНКЦІЙ.

Alternate Title: STUDY OF THE QUARTIC ANHARMONIC OSCILLATOR USING THE NONLINEAR RAYLEIGH–RITZ VARIATIONAL METHOD. I. CALCULATION AND ANALYSIS OF ENERGY LEVELS AND WAVE FUNCTIONS.

Authors: Бабенко, В. А.¹ pet2@ukr.net

Source: Nuclear Physics & Atomic Energy. 2026, Vol. 27 Issue 2, p125-141. 17p.

Rayleigh–Ritz Approximation of the Acoustic Vibrations of Clamped Superquadrics—Application to Free Core–Shell Objects.

Authors: S, Sajana Marco de Lucas, María del Carmen Saviot, Lucien

Source: Nanomaterials (2079-4991). Dec2025, Vol. 15 Issue 24, p1865. 10p.

Subjects: Acoustic vibrations, Rayleigh-Ritz method, Isotropic properties, Numerical analysis, Symmetry, Solid geometry, Composite materials

Vibration characteristics analysis of stepped thickness sectorial/annular plates using Chebyshev–Ritz method based on FSDT.

Authors: Zhao, Zhe Liang, Ran Gao, Cong et al.

Source: Acta Mechanica. May2026, Vol. 237 Issue 5, p2195-2217. 23p.

Subjects: Rayleigh-Ritz method, Structural plates, Shear (Mechanics), Iterative methods (Mathematics), Mechanical vibration research, Finite element method

Flexural Wave Bandgap Characteristics Analysis of Periodic Double-Span Beam Based on Spectral Geometry Method: A Unified Formulation.

Authors: Tang, Yang Du, Yuan Li, Haichao et al.

Source: International Journal of Structural Stability & Dynamics. 6/10/2026, Vol. 26 Issue 12, p1-22. 22p.

Subjects: Rayleigh-Ritz method, Bloch's theorem, Flexural vibrations (Mechanics), Theory of wave motion, Numerical analysis, Finite element method, Vibration isolation

Free vibration of functionally graded composite doubly‐curved shells with embedded polymeric viscoelastic core.

Authors: Wang, Shaoqing Yang, Guangbao Song, Yaqin et al.

Source: Polymer Composites. 8/10/2025, Vol. 46 Issue 11, p9728-9741. 14p.

A consistent rayleigh method-based formulation for analytically determining the dynamically equivalent mass and stiffness parameters of Euler-Bernoulli beams.

Authors: Pappalardo, Carmine Maria¹ (AUTHOR) cpappalardo@unisa.it

Source: Meccanica. Aug2026, Vol. 61 Issue 4, p1-28. 28p.

Subjects: Rayleigh-Ritz method, Euler-Bernoulli beam theory, Elastic structures (Mechanics), Computational mechanics, Stiffness (Engineering), Inertial mass, Structural analysis (Engineering)

Numerical approximation of constrained optimal control problems in delayed systems using an enhanced Rayleigh-Ritz algorithm.

Authors: Kafash, Behzad¹ (AUTHOR) bkafash@ardakan.ac.ir

Source: Applied Numerical Mathematics. Feb2026, Vol. 220, p104-122. 19p.

Subjects: Rayleigh-Ritz method, Constrained optimization, Empirical research, Optimal control theory, Time delay systems, Approximation algorithms, Chebyshev polynomials, Mathematical optimization

Recasting magnetic hysteresis problem in terms of Rayleigh's variational principle.

Authors: Skarlatos, Anastassios Mavrantzas, Vlasis G. Vafeas, Panayiotis

Source: Journal of Non-Equilibrium Thermodynamics. Apr2026, Vol. 51 Issue 2, p185-194. 10p.

Subjects: Magnetic hysteresis, Rayleigh-Ritz method, Magnetic susceptibility, Magnetization

Free Vibration of Functionally Graded Triply Periodic Minimal Surface Cylindrical Shells with Elastic Boundary Constraints.

Authors: Nguyen, Van-Loi¹, loinv@huce.edu.vn

Source: Iranian Journal of Science & Technology: Transactions of Mechanical Engineering; Jun2026, Vol. 50 Issue 3, p755-776, 22p

Vibration Characteristics and Reduction Analysis of Acoustic Black Hole Beams Using an Improved Rayleigh–Ritz Method.

Authors: Jiang, Xing Luo, Kun Liu, Wenxing et al.

Source: International Journal of Structural Stability & Dynamics. Jun2026, p1. 26p.

Mixed-Precision Orthogonalization-Free Projection Methods for Eigenvalue and Singular Value Problems.

Authors: Xu, Tianshi Zhang, Zechen Chen, Jie et al.

Source: SIAM Journal on Scientific Computing; 2026, Vol. 48 Issue 3, pB544-B568, 25p

On the Rayleigh-Ritz method.

Authors: Fernández, Francisco M.¹ (AUTHOR) fernande@quimica.unlp.edu.ar

Source: Journal of Mathematical Chemistry. Mar2025, Vol. 63 Issue 3, p911-918. 8p.

A study on static bending behavior of partially elastically supported functionally graded plate with porous voids and prediction of deformation through deep learning.

Authors: Jain, Rajat Azam, Mohammad Sikandar

Source: Mechanics Based Design of Structures & Machines. 2025, Vol. 53 Issue 1, p245-275. 31p.

Subjects: Artificial neural networks, Rayleigh-Ritz method, Elastic foundations, Deep learning, Porosity

Dynamic Response Analysis of Laminated Composite Sandwich Plate with Different Lattices Truss Cores Using a Semi-Analytical Method.

Authors: Huang, Zhou Lei, Yaxi Liu, Yong et al.

Source: International Journal of Structural Stability & Dynamics. 1/15/2026, Vol. 26 Issue 1, p1-46. 46p.

Subjects: Rayleigh-Ritz method, Composite structures, Boundary value problems, Mechanical vibration research, Sandwich construction (Materials), Laminated materials, Scientific method, Shear (Mechanics)

A Novel Model for Train–Track-Bridge Dynamic Interaction Considering Non-Uniform Structural Parameters and Nonlinear Interlayer Contact.

Authors: Chen, Yao Feng, Qingsong Yang, Zhou et al.

Source: International Journal of Structural Stability & Dynamics. 12/15/2025, Vol. 25 Issue 23, p1-30. 30p.

Subjects: Rayleigh-Ritz method, Reduced-order models, Mechanical efficiency, Substructuring techniques, Mathematical optimization

Sharp Error Bounds for Approximate Eigenvalues and Singular Values from Subspace Methods.

Authors: Haas, Irina-Beatrice Nakatsukasa, Yuji

Source: SIAM Journal on Matrix Analysis & Applications. 2026, Vol. 47 Issue 1, p308-329. 22p.

Subjects: Rayleigh-Ritz method, Approximation error, Eigenvalues, Krylov subspace, Symmetric matrices, Algorithms

Vibration analysis of bolted cantilever plates using an artificial spring model with contact pressure distribution.

Authors: Zhang, Xiang Liu, Wenguang Cheng, Long et al.

Source: Journal of Mechanical Science & Technology. Jan2026, Vol. 40 Issue 1, p133-145. 13p.

Subjects: Mechanical vibration research, Rayleigh-Ritz method, Stiffness (Engineering), Equations of motion, Mode shapes, Stress concentration, Parametric modeling

On the Λ-Fractional Rayleigh-Ritz Approximation Method.

Authors: Lazopoulos, Konstantinos A. Pirentis, Athanassios Lazopoulos, Anastassios K.

Source: Progress in Fractional Differentiation & Applications. 2025, Vol. 11 Issue 1, p19-28. 10p.

Determination of bounding frequencies of cylindrical shells using a periodic structure wave approach with Rayleigh-Ritz method.

Alternate Title: Rayleigh-Ritz metodu ile periyodik yapı dalga yaklaşımı kullanılarak silindirik kabukların sınır frekanslarının belirlenmesi.

Authors: PANY, Chitaranjan¹ c_pany@yahoo.com

Source: Pamukkale University Journal of Engineering Sciences. 2024, Vol. 30 Issue 5, p679-685. 7p.

Subjects: Cylindrical shells, Rayleigh-Ritz method, Approximation theory, Periodic motion, Eigenvalue equations