Development and Dynamic Modeling of Shear-Thickening Foam Composites: A Combined Theoretical and Experimental Study.

Συγγραφείς: Xu, Zhuo¹ (AUTHOR), Sun, Jiajun¹ (AUTHOR), Han, Songjiu¹ (AUTHOR), Jiang, Dongdong² (AUTHOR), Sun, Kai¹ (AUTHOR) sunkai@neepu.edu.cn, Xu, Peiyao³ (AUTHOR), Jia, Chenxi¹ (AUTHOR), Hu, Changcheng² (AUTHOR), Ma, Mingyang² (AUTHOR), Chen, Lian² (AUTHOR)

Πηγή: International Journal of Structural Stability & Dynamics. Jul2026, p1. 26p.

Θεματικοί όροι: *Dynamic models, *Rayleigh-Ritz method, *Mechanical vibration research, *Smart materials, *Foam, *Urethane foam, *Shear (Mechanics), *Sandwich construction (Materials)

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

Συγγραφείς: Tang, Yang¹ (AUTHOR) tangy_97@hrbeu.edu.cn, Du, Yuan² (AUTHOR) duyuan@mail.sysu.edu.cn, Li, Haichao¹ (AUTHOR) lihaichao@hrbeu.edu.cn, Gao, Cong¹ (AUTHOR) conggao@hrbeu.edu.cn, Pang, Fuzhen¹ (AUTHOR) pangfuzhen@hrbeu.edu.cn

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

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

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

Συγγραφείς: Jiang, Xing¹ (AUTHOR), Luo, Kun¹ (AUTHOR) lk360111@163.com, Liu, Wenxing¹ (AUTHOR), Zhang, Xujing² (AUTHOR), Sun, Zhaofeng¹ (AUTHOR)

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

Θεματικοί όροι: *Rayleigh-Ritz method, *Galerkin methods, *Finite element method, *Mechanical vibration research, *Viscoelastic materials, *Eigenfrequencies, *Vibration isolation

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

Συγγραφείς: Haas, Irina-Beatrice¹ (AUTHOR) haas@maths.ox.ac.uk, Nakatsukasa, Yuji¹ (AUTHOR) nakatsukasa@maths.ox.ac.uk

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

Θεματικοί όροι: *Algorithms, Rayleigh-Ritz method, Approximation error, Eigenvalues, Krylov subspace, Symmetric matrices

DNA-微悬臂梁的 Rayleigh-Ritz 法求解.

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

Συγγραφείς: 刘 承^1,2 liucheng777888@sina.com, 何小兵¹ david.hxb@gmail.com, 沈旭栋³ vibration@zju.edu.cn

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

Θεματικοί όροι: *Rayleigh-Ritz method, *Microcantilevers, *Nonlinear equations, *Biosensors, *Nanomechanics, *Deformations (Mechanics)

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

Συγγραφείς: Zhao, Zhe¹ (AUTHOR), Liang, Ran¹ (AUTHOR), Gao, Cong^1,2 (AUTHOR), Zou, Yucheng¹ (AUTHOR) conggao@hrbeu.edu.cn, Pang, Fuzhen¹ (AUTHOR), Li, Haichao¹ (AUTHOR)

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

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

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.

Συγγραφείς: Бабенко, В. А.¹ pet2@ukr.net

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

Θεματικοί όροι: *Anharmonic oscillator, *Rayleigh-Ritz method, *Energy levels (Quantum mechanics), *Quantum mechanics, *Numerical analysis, *Wave functions, *Variational approach (Mathematics)

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

Συγγραφείς: Skarlatos, Anastassios¹ (AUTHOR) anastasios.skarlatos@cea.fr, Mavrantzas, Vlasis G.^2,3 (AUTHOR), Vafeas, Panayiotis⁴ (AUTHOR)

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

Θεματικοί όροι: *Magnetic hysteresis, *Rayleigh-Ritz method, *Magnetic susceptibility, *Magnetization

Fairing B-Spline Curves Via Smoothing Curvature

Συγγραφείς: Wu, Zhenglong^Aff1, Wang, Xuhui^{Aff1, IDs4030402500476z_cor1}, Ni, Qian^Aff2, Zhang, Xiaoyan^Aff1, Han, Yuhao^Aff1

Πηγή: Communications in Mathematics and Statistics. :1-20

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

Συγγραφείς: Nguyen, Van-Loi^{Aff1, IDs40997025009552_cor1}

Πηγή: Iranian Journal of Science and Technology, Transactions of Mechanical Engineering. 50(3):755-776

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

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

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

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

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

Συγγραφείς: Huang, Zhou¹ (AUTHOR), Lei, Yaxi¹ (AUTHOR), Liu, Yong¹ (AUTHOR), Shi, Xianjie¹ (AUTHOR) 411shixj@caep.cn

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

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

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

Συγγραφείς: Zhang, Xiang¹ (AUTHOR), Liu, Wenguang¹ (AUTHOR) liuwg14@nchu.edu.cn, Cheng, Long¹ (AUTHOR), Lin, Zhigen¹ (AUTHOR), Wang, Hong¹ (AUTHOR)

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

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

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

Συγγραφείς: Chen, Yao¹ (AUTHOR), Feng, Qingsong¹ (AUTHOR) fqshdjtdx@aliyun.com, Yang, Zhou¹ (AUTHOR), Lei, Xiaoyan¹ (AUTHOR), Sheng, Xiaozhen² (AUTHOR)

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

Θεματικοί όροι: *Rayleigh-Ritz method, *Reduced-order models, *Mechanical efficiency, *Substructuring techniques, *Mathematical optimization

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

Συγγραφείς: S, Sajana¹ (AUTHOR), Marco de Lucas, María del Carmen¹ (AUTHOR), Saviot, Lucien¹ (AUTHOR) lucien.saviot@cnrs.fr

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

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

Vibro-acoustic characteristics of rectangular plates with any number of point masses and translational springs.

Συγγραφείς: Liu, Weilong¹ (AUTHOR), He, Yijie¹ (AUTHOR), Zhu, Ziyuan¹ (AUTHOR), Chen, Feng¹ (AUTHOR) chenfeng508@suda.edu.cn, Wang, Gang¹ (AUTHOR) chenfeng508@suda.edu.cn

Πηγή: Journal of Vibration & Control. Sep2025, Vol. 31 Issue 17/18, p3931-3943. 13p.

Θεματικοί όροι: *Rectangular plates (Engineering), *Rayleigh-Ritz method, *Mechanical vibration research, *Acoustic resonance, *Mass (Physics), *Acoustic radiation

Effect of Lever Flexibility on Dynamic Anti-Resonant Vibration Isolators with and without Negative Stiffness

Συγγραφείς: Liu, Niuniu^{Aff1, IDs42417026026083_cor1}, Lin, Fuming^Aff1, Lei, Zhiyang^{Aff2, Aff3}, Zhou, Jialiang^{Aff2, Aff3}

Πηγή: Journal of Vibration Engineering & Technologies. 14(6)

Dynamic Response of Laminated Composite Sandwich Beams with Different Lattices Truss Cores

Συγγραφείς: Huang, Zhou^Aff1, Wang, Zhiyang^Aff1, Shi, Xianjie^{Aff1, IDs4241702602491y_cor1}

Πηγή: Journal of Vibration Engineering & Technologies. 14(5)

Interfacial structure-governed free vibration response of laser cladded cylindrical shells

Συγγραφείς: Ji, Guosheng^{Aff1, Aff2}, Zhang, Peirong^{Aff1, Aff2, IDs10999026099019_cor1}, Su, Guosheng^{Aff1, Aff2}, Du, Jin^{Aff1, Aff2}, Xu, Chonghai^{Aff1, Aff2}, Liu, Zhanqiang^Aff3, Li, Yinling^Aff4, Du, Bingzhi^Aff4

Πηγή: International Journal of Mechanics and Materials in Design. 22(2)

A Variational Rayleigh–Ritz Method for Modeling H -Plane Bend Rectangular Waveguides

Συγγραφείς: Rosa, G.S., Ribeiro, R.O., Simionato, E., Penchel, R.A.

Πηγή: IEEE Transactions on Microwave Theory and Techniques IEEE Trans. Microwave Theory Techn. Microwave Theory and Techniques, IEEE Transactions on. 73(1):482-493 Jan, 2025