Search Results - "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.

DNA-微悬臂梁的 Rayleigh-Ritz 法求解.

Alternate Title: The Rayleigh-Ritz Solution for DNA-Microcantilevers.

Authors: 刘 承 何小兵 沈旭栋

Source: Applied Mathematics & Mechanics (1000-0887). May2026, Vol. 47 Issue 5, p577-588. 12p.

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

The Deep Ritz Method for parametric p-Dirichlet problems.

Authors: Kaltenbach, Alex Zeinhofer, Marius

Source: Advances in Continuous & Discrete Models. 12/16/2025, Vol. 2026 Issue 1, p1-40. 40p.

An analytical solution for comprehensive analysis of bio-inspired helicoidal laminated composite beams.

Authors: Nguyen, Ngoc-Duong Bui, Van-Tai Nguyen, Van-Hau et al.

Source: Journal of Reinforced Plastics & Composites. Jul2026, Vol. 45 Issue 13/14, p3228-3253. 26p.

Subjects: Laminated composite beams, Ritz method, Mechanical buckling, Shear (Mechanics), Bending strength, Free vibration, Laguerre polynomials, Laminated 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.

Innovative Application of the Ritz Method to Oil-Gas Seepage Problems: A Novel Variational Approach for Solving Underground Flow Equations.

Authors: Liu, Xiongzhi Yang, Hao Dong, Lifei et al.

Source: Energies (19961073). Jun2025, Vol. 18 Issue 12, p3207. 15p.

Subjects: Ritz method, Oil seepage, Finite differences, Gas reservoirs, Petroleum reservoirs

A coupled model to analyse dynamic behaviour of non-prismatic rotating anisotropic thin-walled beams.

Authors: Kumar, G. Deepak Panigrahi, B.

Source: Mechanics of Advanced Materials & Structures. 2025, Vol. 32 Issue 14, p3434-3447. 14p.

Subjects: Thin-walled structures, Ritz method, Anisotropic crystals, Mechanical vibration research, Transients (Dynamics), Curved beams, Dynamic stiffness, Coriolis force

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

LTBWTB: A Mathematica Software to Evaluate the Lateral-Torsional Buckling Load of Web-Tapered Mono-Symmetric I-Section Beams.

Authors: Yılmaz, Tolga¹

Source: Applied Sciences (2076-3417); Jul2025, Vol. 15 Issue 13, p7572, 18p

Higher-order shear deformation theory and Ritz method for analysis of functionally graded sandwich curved beams.

Authors: Nguyen, Ngoc-Duong Bui, Van-Tai Nguyen, Trung-Kien et al.

Source: Mechanics of Advanced Materials & Structures. Jun2025, p1-18. 18p. 11 Illustrations.

RITZ VARIATIONAL METHOD FOR THE FREE HARMONIC VIBRATION SOLUTIONS OF SLENDER BEAMS ON TWO-PARAMETER ELASTIC FOUNDATIONS.

Authors: Ike, C.¹, charles.ike@esut.edu.ng

Source: Nigerian Journal of Technology; Jun2025, Vol. 44 Issue 2, p193-201, 9p

Numerical Solution for 2D-VOFOCPs by Ritz Method and Gegenbauer Operational Matrix.

Authors: Soufivand, F.¹ soufivand2019@gmail.com

Source: Journal of Mathematical Extension. 2025, Vol. 19 Issue 6, p1-28. 28p.

Dynamics of Abundant Wave Solutions to the Fractional Chiral Nonlinear Schrodinger's Equation: Phase Portraits, Variational Principle and Hamiltonian, Chaotic Behavior, Bifurcation and Sensitivity Analysis.

Authors: Tian, Yu Yan, Kang-Hua Wang, Shao-Hui et al.

Source: Axioms (2075-1680). Jun2025, Vol. 14 Issue 6, p438. 18p.

双参数地基上功能梯度多孔双曲浅壳随机振动分析. (Chinese)

Authors: 王杰 钟锐 王青山

Source: Chinese Journal of Computational Mechanics / Jisuan Lixue Xuebao; Jun2026, Vol. 43 Issue 3, p404-412, 9p