Results 21 to 30 of about 6,337 (213)
Free in-plane vibration of heterogeneous nanoplates using Ritz method [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2016 In this paper, the Ritz method has been employed to analyze the free in-plane vibration of heterogeneous (non-uniform) rectangular nanoplates corresponding to Eringen’s nonlocal elasticity theory.
Shirko Faroughi +1 more
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Наука и техника, 2022 The proposed paper is a continuation of the author's theoretical work presented earlier in the development of the theory and methodology for calculating flexible orthotropic reinforced concrete plates on an elastic foundation, taking into account the ...
O. V. Kozunova
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Generalized stress field in granular soils heap with Rayleigh–Ritz method
Journal of Rock Mechanics and Geotechnical Engineering, 2017 The stress field in granular soils heap (including piled coal) will have a non-negligible impact on the settlement of the underlying soils. It is usually obtained by measurements and numerical simulations.
Gang Bi
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Acoustic Response of an Isotropic Beam Under Axially Variable Loads Using Ritz and Rayleigh Integral Methods [PDF]
Archives of Acoustics, 2022 Vibro-acoustic response of an isotropic beam under the action of variable axial loads (VALs), is presented in the study. Effects of six different types of VALs and three types of end conditions on buckling, free vibration and sound radiation ...
Somi Naidu Balireddy +3 more
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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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Hemispherical Resonator of a Rate-integrating Gyroscope: A Novel Method for Determination of Eigenfrequencies and Eigenforms in Presence of Imperfections [PDF]
Journal of Applied and Computational Mechanics, 2023 This paper investigates the problem of free vibrations of a hemispherical shell resonator of a rate-integrating gyroscope. A new realization of the approximate Ritz method for determining the frequencies and forms of free vibrations of an elastic ...
Dmitry Indeitsev +3 more
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Scientific Reports, 2021 Ritz eigenvalues only provide upper bounds for the energy levels, while obtaining lower bounds requires at least the calculation of the variances associated with these eigenvalues. The well-known Weinstein and Temple lower bounds based on the eigenvalues
Miklos Ronto +2 more
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Large Amplitude Free Vibration Analysis of Thin Rectangular Plates: Simple Closed-form Solutions
Nonlinear Engineering, 2013 Large amplitude free vibration behavior of thin, isotropic rectangular plate configurations are expressed in the form of simple closed-form solutions by using an application of the Ritz method based on coupled displacement fields.
Gunda Jagadish Babu
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Buckling of Steel Conical Panels Reinforced with Stiffeners
Structural Mechanics of Engineering Constructions and Buildings, 2023 Conical shells and their panels are important elements of building structures, but have not been studied sufficiently. This paper explores buckling of truncated steel conical panels reinforced with an orthogonal grid of stiffener plates.
Alexey A. Semenov +2 more
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Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials
Mathematics, 2019 The aim of this paper is to solve a class of non-linear fractional variational problems (NLFVPs) using the Ritz method and to perform a comparative study on the choice of different polynomials in the method.
Harendra Singh +2 more
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