Eigenfrequency - Open Access .click

Computer Methods in Applied Mechanics and Engineering, 2001
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Gregoire Allaire, François Jouve
exaly +3 more sources

A note on eigenfrequency sensitivities and structural eigenfrequency optimization based on local sub-domain frequencies

Structural and Multidisciplinary Optimization, 2013
Sensitivity (gradient) of a structural eigenfrequency with respect to a change in density (thickness) of a sub-domain is derived in a simple explicit form. The sub-domain is often an element of a finite element (FE) model, but may be a broader sub-domain, say with a group of elements. This simple result has many applications.
Pauli Pedersen +2 more
exaly +2 more sources

Zero Eigenfrequencies in the Vibrating Polygon

Journal of Sound and Vibration, 1994
Abstract It is pointed out that the number of zero eigenfrequencies previously predicted by group theoretical techniques for the in-plane modes of a vibrating regular polygon, consisting of identical particles at the vertices connected along the sides by identical springs, seems excessive. The apparent excess is due to unstable modes. Similar systems
Perrin, R., Swallowe, G. M.
openaire +2 more sources

Electromagnetic Eigenfrequencies in a Spheroidal Cavity

Journal of Electromagnetic Waves and Applications, 1997
Summary: The electromagnetic eigenfrequencies \(f_{nsm}\) in a perfectly conducting spheroidal cavity are determined analytically, by a shape perturbation method. The analytical determination is possible in the case of small values of the quantity \(v= 1- a^2/b^2\), \((|v|\ll 1)\), where \(2a\) and \(2b\) are the lengths of the rotation axis and the ...
Kokkorakis, G. C., Roumeliotis, J. A.
openaire +1 more source

damping
vibration
variational methods for eigenvalues of operators

structural health monitoring
free oscillations
7. clean energy

stiffness
physics
fos: mathematics