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ERROR ESTIMATION OF EIGENFREQUENCIES FOR ELASTICITY AND SHELL PROBLEMS

Mathematical Models and Methods in Applied Sciences, 2003
In this paper, a method for deriving computable estimates of the approximation error in eigenvalues or eigenfrequencies of three-dimensional linear elasticity or shell problems is presented. The analysis for the error estimator follows the general approach of goal-oriented error estimation for which the error is estimated in so-called quantities of ...
Oden, J. Tinsley   +4 more
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On toroidal mode eigenfrequencies

Planetary and Space Science, 1969
Abstract The eigenfrequencies of the toroidal magnetohydrodynamic mode (guided mode) have been shown to be spatially dependent and the mathematical description inconsistent under some circumstances by Radoski and McClay. Hruska has indicated that use of non-perfectly conducting boundary conditions will remove the inconsistency and lead to ...
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Eigenfrequencies in Gyrotropic—Metallic Cavities

IEEE Microwave and Wireless Components Letters, 2018
In this letter, the eigenfrequencies of a spherical metallic cavity filled with an anisotropic medium are calculated. The loading of the cavity can be gyrotropic (gyroelectric and gyromagnetic), or gyrotropic with the presence of a spherical perfect electric conducting core. We employ a coupled-field surface-volume integral equation (CFSVIE) method, in
Georgios D. Kolezas, Grigorios P. Zouros
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Shape optimization for the eigenfrequency of the plate

Georgian Mathematical Journal, 2017
Abstract In this paper, we consider an eigenvalue problem for the biharmonic operator that describes the transverse vibrations of the plate. Under the imposed boundary conditions, the eigenvalues of this operator are indeed eigenfrequencies of the clamped plate.
Gasimov, Yusif S.   +1 more
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Eigenfrequencies of nonisotropic fractal drums

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Bo, Su, Weiyi
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Variational methods for complex eigenfrequencies

Journal of Physics A: Mathematical and General, 1980
Variational expressions have been developed for the complex normal-mode frequencies occurring in a variety of physical systems including laboratory and solar plasmas as well as cosmic space.
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Mill Eigenfrequency in Thermal Fitting

Russian Engineering Research, 2018
A method is proposed for the analytical calculation of the elastic displacement of a shaft relative to a bush in joints with interference under the action of radial force and a bending torque. Those displacements are associated with elastic deformation of the shaft, the bush, and the contact layer formed by their rough surfaces.
M. M. Ermolaev   +2 more
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The Eigenfrequency Spectra of the Interior Problems

2011
As we saw in the previous chapter, each of the exterior boundary value problems has at most one regular solution. Unfortunately, this is not true for (Dω+) and (Nω+). We prove that (D0ω+) and (N0ω+) have nonzero solutions by establishing their equivalence to certain integral equations that are known to have such solutions.
Gavin R. Thomson, Christian Constanda
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Eigenfrequencies of rectangular plate assemblies

Computers & Structures, 1997
Summary: The dynamic stiffness method, which yields exact results for certain class of plate structures, is used to analyse free vibration frequencies of various plate assemblies. The constituent plates of the systems are considered either to lie in planes at right angles to each other or coupled via stiffeners.
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Eigenfrequency Identification of the Hydraulic Cylinder

2021
The paper is focused on the identification of the eigenfrequency of the linear hydraulic servo drive, which consists of the flow control valve and hydraulic cylinder. The behaviour of the closed loop controlled hydraulic drive is given by the dynamic properties of the control valve and hydraulic cylinder.
openaire   +1 more source

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