Results 31 to 40 of about 79,973 (227)
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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The convergence of Rayleigh-Ritz approximations [PDF]
Journal of the Australian Mathematical Society, 1968 This paper is concerned with the convergence of Rayleigh-Ritz approximations to the solution of an elliptic boundary value problem. Although the work arose in connection with the aerofoil problem (and it is to this problem that the results obtained are immediately applied), the methods here employed are suitable for use on the wider class of problem ...
O'Carroll, M. J., Lush, P. E.
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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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Comments on the historical bases of the Rayleigh and Ritz methods [PDF]
, 2009 In a recent article entitled “The historical bases of the Rayleigh and Ritz methods”, Professor Leissa raised the issue of using two different names, “The Rayleigh-Ritz Method” and “The Ritz Method” for the same procedure.
Ilanko, Sinniah
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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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A Short Theory of the Rayleigh–Ritz Method [PDF]
Computational Methods in Applied Mathematics, 2013 Abstract. We present some new error estimates for the eigenvalues and eigenfunctions obtained by the Rayleigh–Ritz method, the common variational method to solve eigenproblems. The errors are bounded in terms of the error of the best approximation of the eigenfunction under consideration by functions in the ansatz space.
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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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