Results 21 to 30 of about 1,668 (228)
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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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 Methods of Rayleigh-Ritz-Weinstein [PDF]
Proceedings of the American Mathematical Society, 1952 The Rayleigh-Ritz-Weinstein methods are concerned with the connection between eigenvalues of a completely continuous symmetric operator in a Hilbert space and the eigenvalues of its projection into a subspace X of H such that the difference Hex-x is finitedimensional.
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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 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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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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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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Shock and Vibration, 2022 In this investigation, free vibration of stepped circular Mindlin plate with arbitrary boundary conditions is presented by an improved Fourier–Ritz method.
Qingjun Hao, Zhaobo Chen, Wenjie Zhai
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On Natural Oscillations of a Thin Elastic Wavy Shell of an Open Profile
Journal of Architectural and Engineering Research, 2021 The article touches upon the problem of natural oscillations of a thin elastic wavy shell of an open profile. The proposed method for determining the numerical values of the lowest frequencies and the corresponding forms of natural oscillations of shells
Victor Dmitriy Eryomin
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NTU Journal of Engineering and TechnologyThe energy form of the Rayleigh-Ritz Principle was used to investigate the effect of rotating a mass at the free end on the dynamic characteristics of the cantilever beam.
Tahseen Taha Othman
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