Results 11 to 20 of about 307 (89)
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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Energy methods for curved composite beams with partial shear interaction
Curved and Layered Structures, 2015 This paper presents a derivation of the Rayleigh- Betti reciprocity relation for layered curved composite beams with interlayer slip. The principle of minimum of potential energy is also formulated for two-layer curved composite beams and its ...
Ecsedi István, Lengyel Ákos József
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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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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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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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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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