Results 1 to 10 of about 730 (166)
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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Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM [PDF]
Shock and Vibration, 2007 Eigenfunction convergence characteristics of the finite element method and the Rayleigh-Ritz method with quasicomparison functions (RRMM) are compared. The RRMM has previously proved to be superior in comparing eigenvalue convergence characteristics. The
C.A. Morales, R. Goncalves
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Buckling Behavior of Nanobeams Placed in Electromagnetic Field Using Shifted Chebyshev Polynomials-Based Rayleigh-Ritz Method. [PDF]
Nanomaterials (Basel), 2019 Jena SK, Chakraverty S, Tornabene F.
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The Rayleigh-Ritz method still competitive
Journal of Computational and Applied Mathematics, 1994 Following his earlier work [Numer. Math. 54, 639-654 (1989; Zbl 0645.65027)], the author considers the computation of two-sided bounds for the eigenvalues of the one-dimensional Schrödinger operator with various potentials, using a finite element method with high-order B- splines.
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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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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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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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