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1

Numerical approximation of constrained optimal control problems in delayed systems using an enhanced Rayleigh-Ritz algorithm.
Kafash, Behzad
Applied Numerical Mathematics. Feb2026, Vol. 220, p104-122. 19p.

RAYLEIGH-Ritz method CONSTRAINED optimization EMPIRICAL research OPTIMAL control theory TIME delay systems APPROXIMATION algorithms …
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2

Dynamic Response Analysis of Laminated Composite Sandwich Plate with Different Lattices Truss Cores Using a Semi-Analytical Method.
Huang, Zhou ; Lei, Yaxi ; Liu, Yong ; et al.
International Journal of Structural Stability & Dynamics. 1/15/2026, Vol. 26 Issue 1, p1-46. 46p.

RAYLEIGH-Ritz method COMPOSITE structures BOUNDARY value problems MECHANICAL vibration res... SANDWICH construction (M... LAMINATED materials …
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3

Vibration analysis of bolted cantilever plates using an artificial spring model with contact pressure distribution.
Zhang, Xiang ; Liu, Wenguang ; Cheng, Long ; et al.
Journal of Mechanical Science & Technology. Jan2026, Vol. 40 Issue 1, p133-145. 13p.

MECHANICAL vibration res... RAYLEIGH-Ritz method STIFFNESS (Engineering) EQUATIONS of motion MODE shapes STRESS concentration …
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4

A Novel Model for Train–Track-Bridge Dynamic Interaction Considering Non-Uniform Structural Parameters and Nonlinear Interlayer Contact.
Chen, Yao ; Feng, Qingsong ; Yang, Zhou ; et al.
International Journal of Structural Stability & Dynamics. 12/15/2025, Vol. 25 Issue 23, p1-30. 30p.

RAYLEIGH-Ritz method REDUCED-order models MECHANICAL efficiency SUBSTRUCTURING technique... MATHEMATICAL optimizatio...
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5

Rayleigh–Ritz Approximation of the Acoustic Vibrations of Clamped Superquadrics—Application to Free Core–Shell Objects.
S, Sajana ; Marco de Lucas, María del Carmen ; Saviot, Lucien
Nanomaterials (2079-4991). Dec2025, Vol. 15 Issue 24, p1865. 10p.

ACOUSTIC vibrations RAYLEIGH-Ritz method ISOTROPIC properties NUMERICAL analysis SYMMETRY SOLID geometry …
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6

Vibro-acoustic characteristics of rectangular plates with any number of point masses and translational springs.
Liu, Weilong ; He, Yijie ; Zhu, Ziyuan ; et al.
Journal of Vibration & Control. Sep2025, Vol. 31 Issue 17/18, p3931-3943. 13p.

RECTANGULAR plates (Engi... RAYLEIGH-Ritz method MECHANICAL vibration res... ACOUSTIC resonance MASS (Physics) ACOUSTIC radiation
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7

Free vibration of functionally graded composite doubly‐curved shells with embedded polymeric viscoelastic core.
Wang, Shaoqing ; Yang, Guangbao ; Song, Yaqin ; et al.
Polymer Composites. 8/10/2025, Vol. 46 Issue 11, p9728-9741. 14p.

FUNCTIONALLY gradient ma... RAYLEIGH-Ritz method VISCOELASTIC materials SPHERICAL shells (Engine... SIMULATION methods & mod... MECHANICAL behavior of m... …
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8

A Variational Rayleigh–Ritz Method for Modeling H -Plane Bend Rectangular Waveguides
Rosa, G.S. ; Ribeiro, R.O. ; Simionato, E. ; et al.
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

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9

Analytical Modeling and Implementation of an Imaging Cantilever With a Thermoplastic Stiffener
Im, J. ; Jang, E. ; Song, C.
IEEE/ASME Transactions on Mechatronics IEEE/ASME Trans. Mechatron. Mechatronics, IEEE/ASME Transactions on. 29(6):4320-4329 Dec, 2024

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10

Analytical approach for evaluation of impact damage in nonlinear quasi-isotropic plates of arbitrary boundary conditions.
Suemasu, Hiroshi ; Ichiki, Makoto ; Aoki, Yuichiro
Advanced Composite Materials. Jun2023, Vol. 32 Issue 3, p324-349. 26p.

LAMINATED materials RAYLEIGH-Ritz method SIMULTANEOUS equations FRACTURE toughness ARBITRARY constants NONLINEAR equations
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11

Effect of Variable Size-Dependent Parameters on the Vibration Characteristics of Axially Functionally Graded Electromagnetic Nanobeams.
Gartia, Akash Kumar ; Chakraverty, S.
Journal of Vibration Engineering & Technologies; Mar2026, Vol. 14 Issue 3, p1-20, 20p

ELECTROMAGNETIC fields FUNCTIONALLY gradient ma... MECHANICAL vibration res... STRAINS & stresses (Mech... RAYLEIGH-Ritz method NANOELECTROMECHANICAL sy...
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12

Natural frequencies of composite cylindrical shells under uncertainty: a nonparametric approach.
Brazalez, Juan ; Nabarrete, Airton
Journal of the Brazilian Society of Mechanical Sciences & Engineering; Feb2026, Vol. 48 Issue 2, p1-12, 12p

CYLINDRICAL shells RAYLEIGH-Ritz method RESAMPLING (Statistics) STRUCTURAL dynamics UNCERTAINTY (Information... STOCHASTIC models …
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13

Vibration Analysis of Partially Supported Porous Functionally Graded Cylindrical Shells on the Winkler Elastic Foundation with General Boundary Conditions.
Araei, Bahram Aghaei ; Abedi, Maryam ; Valvo, Paolo S.
International Journal of Computational Methods; Feb2026, Vol. 23 Issue 1, p1-40, 40p

CYLINDRICAL shells FUNCTIONALLY gradient ma... ELASTIC foundations SHEAR (Mechanics) MECHANICAL vibration res... BOUNDARY value problems …
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14

Vibration and Sound Insulation Characteristics of Functionally Graded Sandwich Plates of Variable Thickness Type Under Elastic Boundary Constraints
Wang, Chaoneng ; Li, Fenglian
2023 17th Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA) Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA), 2023 17th Symposium on. :1-5 Nov, 2023

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15

Dynamic analysis of railway bridges by means of the spectral method
CATANIA, GIUSEPPE ; SORRENTINO, SILVIO
Civil Engineering Topics, Volume 4 ISBN: 9788743802181

0301 basic medicine Railway bridges, Moving... 0303 health sciences 03 medical and health sc... RAILWAY BRIDGES MOVING LOADS …
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16

On the Rayleigh-Ritz method.
Fernández, Francisco M.
Journal of Mathematical Chemistry. Mar2025, Vol. 63 Issue 3, p911-918. 8p.

RAYLEIGH-Ritz method VARIATIONAL principles EIGENVALUES
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17

A study on static bending behavior of partially elastically supported functionally graded plate with porous voids and prediction of deformation through deep learning.
Jain, Rajat ; Azam, Mohammad Sikandar
Mechanics Based Design of Structures & Machines. 2025, Vol. 53 Issue 1, p245-275. 31p.

ARTIFICIAL neural networ... RAYLEIGH-Ritz method ELASTIC foundations DEEP learning POROSITY
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18

RANDOMIZED BLOCK GRAM-SCHMIDT PROCESS FOR THE SOLUTION OF LINEAR SYSTEMS AND EIGENVALUE PROBLEMS.
BALABANOV, OLEG ; GRIGORI, LAURA
SIAM Journal on Scientific Computing. 2025, Vol. 47 Issue 1, pA553-A585. 33p.

GRAM-Schmidt process RAYLEIGH-Ritz method KRYLOV subspace LINEAR systems ARITHMETIC ORTHOGONALIZATION
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19

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20

Influence of adjacent undercutting line positions on surrounding rock stability in block caving
Yong Cao ; Xinzhu Hua ; Heng Zhang
Scientific Reports, Vol 15, Iss 1, Pp 1-14 (2025)

Block caving Vertically concentrated... Undercutting line Elastic plate Rayleigh–Ritz method Surrounding rock stabili... …
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