Results 51 to 60 of about 79,973 (227)
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
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Vibration analysis of nanorods by the Rayleigh-Ritz method and truncated Fourier series
Results in Physics, 2019 A solution procedure applicable for analyzing the free longitudinal vibration of nanorods is presented in this study. The longitudinal displacement of the nanorod is sought as a linear combination of a Fourier series and auxiliary trigonometric functions.
Siyuan Bao, Jinrui Cao, Shuodao Wang
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Buckling Analysis of Functionally Graded Tapered Microbeams via Rayleigh–Ritz Method
Mathematics, 2022 In the present study, the buckling problem of nonhomogeneous microbeams with a variable cross-section is analyzed. The microcolumn considered in this study is made of functionally graded materials in the longitudinal direction and the cross-section of ...
Bekir Akgöz, Ömer Civalek
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Deep Learning‐Based Phase‐Field Modelling of Brittle Fracture in Anisotropic Media
International Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.ABSTRACT This work presents a variational physics‐informed deep learning framework for phase‐field modelling of brittle crack propagation in anisotropic media. Previous variational energy‐based neural network (NN) approaches have focused on second‐order, isotropic phase‐field fracture formulations and have relied on fully connected NNs.
Nojus Plungė +3 more
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The use of positive and negative penalty functions in solving constrained optimization problems and partial differential equations [PDF]
, 2009 The Rayleigh-Ritz Method together with the Penalty Function Method is used to investigate the use of different types of penalty parameters. The use of artificial springs as penalty parameters is a very well established procedure to model constraints in ...
Monterrubio Salazar, Luis Emilio
core
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
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International Journal of Mechanical System Dynamics, Volume 6, Issue 2, Page 327-343, June 2026.ABSTRACT Understanding the dynamic behavior of structural components is crucial for optimizing performance and ensuring structural integrity. This study presents a new method that combines a systematic experimental investigation of four distinct hole geometries (circular, square, compact rectangular, and long rectangular) with varying hole counts, all ...
Amir Hossein Rabiee +3 more
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Results in Physics, 2018 This paper establishes a thin orthotropic rectangular fluid–structure coupled system which effectively studies the sound-vibration behaviors. The established coupled system is made up of an acoustic enclosure filled with air or water and a single ...
Hong Zhang +3 more
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Subspace Gap Residuals for Rayleigh–Ritz Approximations
SIAM Journal on Matrix Analysis and Applications, 2009 Large scale eigenvalue and singular value computations are usually based on extracting information from a compression of the matrix to suitably chosen low dimensional subspaces. This paper introduces new a posteriori relative error bounds based on a residual expressed using the largest principal angle (gap) between relevant subspaces.
Nela Bosner, Zlatko Drmac
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Journal of Geophysical Research: Solid Earth, Volume 131, Issue 6, June 2026.Abstract Interactions between the Antarctic Ice Sheet and the underlying solid Earth occur within the ice‐bedrock interface zone (IBIZ), containing structures of sediments and rocks that strongly influence ice sheet dynamics. Existing insights into the Antarctic IBIZ come primarily from interpretations of airborne geophysical data and active seismic ...
I. D. Kelly +10 more
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