Results 91 to 100 of about 12,056 (269)
FREE VIBRATION OF BEAM ELASTICALLY RESTRAINED AGAINST TRANSLATION AND ROTATION AT ENDS
An approximate solution of the vibration of an elastically restrained, uniform and non-uniform beams with translational and rotational springs is obtained using Rayleigh-Ritz approach.
Nabil H. H.
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The Rayleigh-Ritz method still competitive
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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Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in hypre and PETSc
We describe our software package Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) publicly released recently. BLOPEX is available as a stand-alone serial library, as an external package to PETSc (``Portable, Extensible Toolkit for ...
Argentati, M.E. +7 more
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On the problem of modeling for parameter identification in distributed structures [PDF]
Structures are often characterized by parameters, such as mass and stiffness, that are spatially distributed. Parameter identification of distributed structures is subject to many of the difficulties involved in the modeling problem, and the choice of ...
Meirovitch, Leonard, Norris, Mark A.
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Quasicomparison Functions and Substructure Synthesis for Framed Structures Stability Analysis
The Rayleigh-Ritz-Meirovitch substructure synthesis method (RRMSSM) is extended to buckling analysis in framed structures. The objective is a computational procedure capable of yielding very accurate critical loads through solution of very-low-order ...
J. I. Colombo, C. A. Morales
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This paper presents free vibration analysis of open and closed shells with arbitrary boundary conditions using a spectro-geometric-Ritz method. In this method, regardless of the boundary conditions, each of the displacement components of open and closed ...
Dongyan Shi +4 more
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Recurrence Relations in the Rayleigh-Ritz Method [PDF]
We report a novel approach for finding upper-bounds for energy levels in quantum systems. This method uses the Rayleigh-Ritz method in conjunction with an expansion series solution of the Schrodinger equation. In the traditional Rayleigh-Ritz method, a N × N matrix is diagonalized to find the N coefficients of a N -term series expansion solution.
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Exploiting symmetries in the modeling and analysis of tires [PDF]
A computational procedure is presented for reducing the size of the analysis models of tires having unsymmetric material, geometry and/or loading. The two key elements of the procedure when applied to anisotropic tires are: (1) decomposition of the ...
Andersen, C. M. +2 more
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Bounds on changes in Ritz values for a perturbed invariant subspace of a Hermitian matrix
The Rayleigh-Ritz method is widely used for eigenvalue approximation. Given a matrix $X$ with columns that form an orthonormal basis for a subspace $\X$, and a Hermitian matrix $A$, the eigenvalues of $X^HAX$ are called Ritz values of $A$ with respect to
A. V. Knyazev +4 more
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This paper presents free and forced vibration analysis of airtight cylindrical vessels consisting of elliptical, paraboloidal, and cylindrical shells by using Jacobi-Ritz Method.
Fuzhen Pang +4 more
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