Results 31 to 40 of about 1,668 (228)
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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Approximation of eigenvalues of some unbounded self-adjoint discrete Jacobi matrices by eigenvalues of finite submatrices [PDF]
Opuscula Mathematica, 2007 We investigate the problem of approximation of eigenvalues of some self-adjoint operator in the Hilbert space \(l^2(\mathbb{N})\) by eigenvalues of suitably chosen principal finite submatrices of an infinite Jacobi matrix that defines the operator ...
Maria Malejki
doaj
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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Advances in Mechanical Engineering, 2019 In this article, the free vibration of a functionally graded carbon nanotube–reinforced plate with central hole is investigated by means of the independent coordinates-based Rayleigh–Ritz method.
Yan Guo, Yanan Jiang, Bin Huang
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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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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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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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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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Toward Genuine Efficiency and Cluster Robustness of Preconditioned CG‐Like Eigensolvers
Numerical Linear Algebra with Applications, Volume 33, Issue 2, April 2026.ABSTRACT The locally optimal block preconditioned conjugate gradient (LOBPCG) method is a popular solver for large and sparse Hermitian eigenvalue problems. However, recently proposed alternatives for its single‐vector version LOPCG indicate certain problematic cases with less accurate preconditioners and clustered target eigenvalues.
Ming Zhou, Klaus Neymeyr
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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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