Results 31 to 40 of about 742 (186)
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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Estimates for the errors in the Rayleigh-Ritz method [PDF]
Pacific Journal of Mathematics, 1953 with homogeneous linear boundary conditions, denoted by (C). It is assumed that the parameter λ does not appear in the boundary conditions. The region R of the problem may be of any number of dimensions; the symbol ff(P)dP will mean an integral over /?, dP standing for the Euclidean volume element; (/, g) will stand for ff(P)g{P)dP; and ||/||, for (f ...
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THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD
International Journal for Computational Civil and Structural Engineering, 2017 For thin elastic plates of arbitrary shape with a smooth pinched or hinged contour based on the modified Rayleigh-Ritz method, explicit expressions are obtained for the approximate values of the maximum deflection from a uniformly distributed load, the ...
Gaik A. Manuylov
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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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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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Free vibration of arbitrary-shaped laminated triangular thin plates with elastic boundary conditions
Results in Physics, 2018 This paper studies the free vibration of arbitrary shaped laminated triangular thin plates based on a modified Fourier series method. An arbitrary shaped triangular plate is mapped into a right-angled isosceles triangular plate with unit length by the ...
Xiuhai Lv, Dongyan Shi
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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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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
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Results in Physics, 2018 This paper studies the free vibration characteristics of arbitrary straight-sided quadrilateral plates using a simple first-order shear deformation theory (SFSDT), which contains only four unknown displacement components.
Dongyan Shi +3 more
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