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Engineering Reports, Volume 8, Issue 2, February 2026.This comprehensive study advances delamination analysis in composites through innovative computational methods, experimental validation techniques, and predictive algorithms, collectively enhancing damage progression prediction and structural health monitoring for improved integrity in high‐performance applications.
Dhivya Elumalai +4 more
wiley +1 more source
Free Vibration Analysis of Size-Dependent, Functionally Graded, Rectangular Nano/Micro-plates based on Modified Nonlinear Couple Stress Shear Deformation Plate Theories [PDF]
Mechanics of Advanced Composite Structures, 2017 In the present study, a vibration analysis of functionally graded rectangular nano-/microplates was considered based on modified nonlinear coupled stress exponential and trigonometric shear deformation plate theories.
Korosh Khorshidi, Abolfazl Fallah
doaj +1 more source
Advanced Theory and Simulations, Volume 9, Issue 1, January 2026.This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil +2 more
wiley +1 more source
On the Rayleigh-Ritz variational method
, 2022 We give a simple proof of the well known fact that the approximate eigenvalues provided by the Rayleigh-Ritz variational method are increasingly accurate upper bounds to the exact ones. To this end, we resort to the variational principle, mentioned in most textbooks on quantum chemistry, and to a well known set of projection operators.
openaire +2 more sources
Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control
Advanced Intelligent Systems, Volume 8, Issue 1, January 2026.This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao +5 more
wiley +1 more source
Hamiltonian truncation study of supersymmetric quantum mechanics: S-matrix and metastable states
Journal of High Energy Physics, 2019 We implement the Rayleigh-Ritz method in supersymmetric quantum mechanics with flat directions, and extract the S-matrix and metastable resonances.
Bruno Balthazar +2 more
doaj +1 more source
Recurrence Relations in the Rayleigh-Ritz Method [PDF]
Progress of Theoretical Physics Supplement, 2000 We report a novel approach for finding upper-bounds for energy levels in quantum systems. This method uses the Rayleigh-Ritz method in conjunction with an expansion series solution of the Schrodinger equation. In the traditional Rayleigh-Ritz method, a N × N matrix is diagonalized to find the N coefficients of a N -term series expansion solution.
openaire +1 more source
Journal of Engineering, 2019 Buckling analysis of a laminated composite thin plate with different boundary conditions subjected to in-plane uniform load are studied depending on classical laminated plate theory; analytically using (Rayleigh-Ritz method).
Widad I. Majeed +1 more
doaj +1 more source
Free Vibrations of Anisotropic Nano-Objects with Rounded or Sharp Corners
Nanomaterials, 2021 An extension of the Rayleigh–Ritz variational method to objects with superquadric and superellipsoid shapes and cylinders with cross-sections delimited by a superellipse is presented.
Lucien Saviot
doaj +1 more source
Analytic Variational Investigation of Euclidean SU(3) Gauge Theory
, 1993 Analytic variational techniques for lattice gauge theories based on the Rayleigh-Ritz(RR) method were previously developed for euclidean SU(2) gauge theories in 3 and 4 dimensions.
Anishetty +3 more
core +2 more sources