Results 21 to 30 of about 79,973 (227)
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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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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On the stability of the Rayleigh–Ritz method for eigenvalues [PDF]
Numerische Mathematik, 2017 This article deals with the ratio \(\hat{\lambda}_k/\lambda_k\), where \(\hat{\lambda}_k\) (resp. \(\lambda_k\)) is the \(k\)th numerical eigenvalue using the Rayleigh-Ritz methods (resp. the \(k\)th exact eigenvalue of Laplace operator). It is shown that in the context of classical finite elements, the maximal ratio blows up with the polynomial degree.
Dietmar Gallistl +2 more
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Buildings, 2023 The fundamental frequency plays a primary role in the dynamic assessment of Cultural Heritage towers. Local and global features may impact its value: geometric, material features, interaction with the soil and adjacent buildings, aging, the construction ...
Arnaud Montabert +6 more
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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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Rayleigh-Ritz analysis for localized buckling of a strut on a softening foundation by Hermite functions [PDF]
, 2003 This paper proposes a Rayleigh–Ritz procedure for localized buckling of a strut on a non-linear elastic foundation. Firstly, the deflected shape of a strut is expanded into a series of Hermite orthogonal functions, which are proved energy-integrable in ...
Baker, Graham, Chen, Gongfa, Chen, G.
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On the Methods of Rayleigh-Ritz-Weinstein [PDF]
Proceedings of the American Mathematical Society, 1952 The Rayleigh-Ritz-Weinstein methods are concerned with the connection between eigenvalues of a completely continuous symmetric operator in a Hilbert space and the eigenvalues of its projection into a subspace X of H such that the difference Hex-x is finitedimensional.
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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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An analysis of the Rayleigh–Ritz method for approximating eigenspaces [PDF]
Mathematics of Computation, 2000 This paper concerns the Rayleigh–Ritz method for computing an approximation to an eigenspace X \mathcal {X}
Zhongxiao Jia, G. W. Stewart
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