Results 11 to 20 of about 108,403 (183)
Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads [PDF]
Mechanical Sciences, 2019 Buckling of elastically restrained carbon nanotubes is studied subject to a combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes.
M. T. A. Robinson, S. Adali
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Rayleigh-Ritz and Lanczos methods for symmetric matrix pencils [PDF]
, 1993 We are concerned with eigenvalue problems for definite and indefinite symmetric matrix pencils. First, Rayleigh-Ritz methods are formulated and, using Krylov subspaces, a convergence analysis is presented for definite pencils.
Lancaster, Peter, Ye, Qiang
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On the plastic buckling of curved carbon nanotubes
Theoretical and Applied Mechanics Letters, 2020 This research, for the first time, predicts theoretically static stability response of a curved carbon nanotube (CCNT) under an elastoplastic behavior with several boundary conditions. The CCNT is exposed to axial compressive loads.
Mohammad Malikan
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On the Rayleigh-Ritz variational method [PDF]
, 2023 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.
Fernández, Francisco M.
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Simplest-expression integrals involving beam-column eigenmodes
Archives of Mechanics, 2012 Novel integrals, in their simplest form, involving beam-column eigenfunctions and derivatives are presented. All the integrals arise in computational stability analysis of frames.
J.I. Colombo, C.A. Morales
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The Rayleigh–Ritz method, refinement and Arnoldi process for periodic matrix pairs [PDF]
, 2011 We extend the Rayleigh–Ritz method to the eigen-problem of periodic matrix pairs. Assuming that the deviations of the desired periodic eigenvectors from the corresponding periodic subspaces tend to zero, we show that there exist periodic Ritz values that
Zhongxiao Jia +9 more
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Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method
Advances in Civil Engineering, 2019 In this investigation, an improved Rayleigh–Ritz method is put forward to analyze the free vibration characteristics of arbitrary-shaped plates for the traditional Rayleigh–Ritz method which is difficult to solve.
Wenjie Guo, Qingsong Feng
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Harmonic and refined Rayleigh-Ritz for the polynomial eigenvalue problem [PDF]
, 2007 After reviewing the harmonic Rayleigh-Ritz approach for the standard and generalized eigenvalue problem, we discuss several extraction processes for subspace methods for the polynomial eigenvalue problem.
Hochstenbach, ME Michiel +5 more
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Results in Physics, 2019 This paper studies traveling wave motions of rotating multi-layered functionally graded graphene platelet reinforced composite (FG-GPLRC) cylindrical shell under general boundary conditions.
Zhaoye Qin +3 more
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Cluster robust error estimates for the Rayleigh–Ritz approximation I: Estimates for invariant subspaces [PDF]
, 2006 This is the first part of a paper that deals with error estimates for the Rayleigh–Ritz approximations to the spectrum and invariant subspaces of a bounded Hermitian operator in a Hilbert or Euclidean space.
Ovtchinnikov, E.
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