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Showing 1 to 8 of 8 for “"Frequency equation"”.
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Effects of shear deformations on the vibrational frequencies of wide-flanged structures
The well-known Timoshenko beam equations (which include transverse shear deformation and rotary inertia effects) are extended for a wide-flanged structure to include the additional shear lag deformation of the flanges; thus, cross-sections of the beam are allowed to distort instead of remaining …
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Small oscillations of a beam-column with finite electrical conductivity in a constant transverse magnetic field
… perturbation in the electromagnetic-field. The frequency equation is derived for a column and reduced to that for free vibration of a beam by equating the end load to zero. The roots of this equation are obtained approximately and the effect of the magnetic field on the frequencies is noted. In …
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Zero Divisors, Group Von Neumann Algebras and Injective Modules
… from Gabor Analysis in the light of the time-frequency equation. We study the zero divisor conjecture in relation to the reduced 𝐶*-algebras and operator norm 𝐶*-algebras. For certain classes of groups we address the zero divisor conjecture by providing an isomorphism between the the reduced …
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Lateral vibration of a beam carrying a concentrated mass at the mid-point, including the effect of rotatory inertia
… rotatory inertia of the beam is utilized. The frequency equation involves the product of two terms, roots arising from one of these being associated with symmetric vibration modes and from the other, antisymetric modes. The effect of the rotatory inertia of the beam on the roots of the …
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Flexural vibration of the incomplete circular ring
… In an attempt to simplify the general equation of motion of the ring an assumption was made that the tangential inertia term had a negligible effect on the natural frequencies of a thin ring. The frequencies obtained from the resulting frequency equation were found to be poor …
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An Experimental and Theoretical Investigation into the Acoustic Spectra of Solids Having Cylindrical Symmetry
… each of pure radial (compressional), finite frequency and asymptotic (compressional) modes. Several limiting cases obtained by simplifying the thick annular disk frequency equation, using various approximations, were investigated. Of these, the most important one is the frequency equation …
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The Uniform Hanging Cable as a Translational Vibration Absorber.
The small, lateral vibrations of a system consisting of a uniform cable suspended from a mass in a gravitational field and having a lower end mass are considered in this thesis. The frequencies and modal configurations for free vibration were determined. Secondly, a harmonically varying forcing …
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Static and dynamic response of plates by the reflection method
… points. This yields a set of 2N simultaneous equations whose solution constitutes the solution to the problem. A similar approach can be utilized for the vibrating plate. For the dynamic case the applied loading is assumed as zero, and a harmonically varying force and moment placed at the …