Results 11 to 20 of about 1,668 (228)
ORDERS OF CONVERGENCE OF THE RAYLEIGH-RITZ AND WEINSTEIN-BAZLEY METHODS [PDF]
Proceedings of the National Academy of Sciences, 1968 George J. Fix
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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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Inverse-designed gyrotropic scatterers for non-reciprocal analog computing. [PDF]
NanophotonicsAbstract While conventional von Neumann based machines are increasingly challenged by modern day requirements, electromagnetic analog computing devices promise to provide a platform that is highly parallel, efficient and fast. Along this paradigm, it has been shown that arrays of subwavelength electromagnetic scatterers can be used as solvers of ...
Hadjiantoni N +4 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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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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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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