Results 11 to 20 of about 11,091,462 (126)
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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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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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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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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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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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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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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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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