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Rayleigh-Ritz variational method with suitable asymptotic behaviour [PDF]
Open Physics, 2014 We discuss Rayleigh-Ritz variational calculations with nonorthogonal basis sets that exhibit the correct asymptotic behaviour. We construct the suitable basis sets for general one-dimensional models and illustrate the application of the approach on two ...
Fernández Francisco, Garcia Javier
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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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Damage Detection of Bridge by Rayleigh-Ritz Method [PDF]
Journal of Rehabilitation in Civil Engineering, 2020 As a result of environmental and accidental actions, damage occurs in structures. The early detection of any defect can be achieved by regular inspection and condition assessment.
Mohammad Hasan Daneshvar +3 more
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About natural oscillations thin elastic wavy non-circular shell [PDF]
E3S Web of Conferences, 2021 The open profile thin elastic wavy shell natural oscillations problem is considered. The proposed method for determining the numerical values of the lowest frequencies and the corresponding forms of natural vibrations of shells with a complicated shape ...
Eryomin Victor
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Computation, 2023 An energy-based solution for calculating the buckling loads of partially anisotropic stiffened plates is presented, such as antisymmetric cross-ply and angle-ply laminations.
Dimitrios G. Stamatelos +1 more
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Effect of Elastically Restrained Edges on Free Transverse Vibration of Functionally Graded Porous Rectangular Plate [PDF]
Mechanics of Advanced Composite Structures, 2022 In this paper, the author studied free transverse vibration of a thin isotropic simply-supported functionally graded (FG) rectangular plate with porosity effect based on classical plate theory. The plate is considered to be elastically restrained against
Yajuvindra Kumar
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Journal of Mechanical Engineering, 2023 Deflection of simply supported laminated composite plate under transverse load is found out by semi-analytical method (Classical Lamination Theory) and the results are compared with Finite element method using FEA software ANSYS.
Arnab Choudhury +3 more
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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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Thermal Buckling Analysis of Laminated Composite plates with General Elastic Boundary Supports
Journal of Engineering, 2020 In this study, the modified Rayleigh-Ritz method and Fourier series are used to determine the thermal buckling behavior of laminated composite thin plates with a general elastic boundary condition applied to in-plane uniform temperature distribution ...
Mohammed Basheer Alabas +1 more
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Buckling Analysis of Functionally Graded Tapered Microbeams via Rayleigh–Ritz Method
Mathematics, 2022 In the present study, the buckling problem of nonhomogeneous microbeams with a variable cross-section is analyzed. The microcolumn considered in this study is made of functionally graded materials in the longitudinal direction and the cross-section of ...
Bekir Akgöz, Ömer Civalek
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