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Free vibrations ofn-dimensional balls

Acta Mathematica Sinica, 1985
We consider the existence of non-trivial solutions of the problem: \[ u_{tt}-\Delta u+g(u)=0,\quad u_{tt}-\Delta u-g(u)=0,\quad (x,t)\in B\times R \] under the boundary and periodicity conditions: \[ u|_{\partial B^ n}=0,\quad u(x,t+T)=u(x,t), \] where \(B^ n\) is an n-dimensional ball centered at the origin with diameter \(D,T=(b/a)D\); a,b are ...
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Transverse Vibration of Free-Free Beams

The Journal of the Acoustical Society of America, 1963
Expressions are derived for the input impedance of damped free-free beams vibrating in their transverse modes, and for the transmissibility of one- and two-stage systems comprised of such beams and lumped elements of mass and compliance. The effect upon transmissibility and input impedance of varying the beam damping is considered in detail.
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Free Vibrations

2023
Thomas Kuttner, Armin Rohnen
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A vibration-free base

Journal of Chemical Education, 1960
Describes the design of a vibration-free base, ideal as a support for delicate instruments.
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Vibration free turntable apparatus

The Journal of the Acoustical Society of America, 1986
A platform that is magnetically suspended relative to a base. Magnet members are deployed atop and about the periphery of the base in fixedly secured relation thereto and oppositely polarized magnet members are secured to the bottom and about the periphery of the platform so that a magnetic repulsion exists between such magnet members in sufficient ...
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Vibration Free Interferometer Mirror

AIP Conference Proceedings, 2007
Optic tables may be an obstacle for the interferometric studies when they are exposed to mechanical vibrations in the particular frequency range. To reduce the mechanical noise, a moveable mirror of the FTIR spectrometer was used as an interferometer mirror.
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Free Vibration of Arches

2011
The theory of vibration is a special branch of structural analysis. This theory allows us to evaluate internal forces and displacements in the structure caused by dynamical loads of different nature. Often it is the case that these forces and displacements are significantly greater than the forces and displacement for the case of static loading ...
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Free vibrations

1985
P. C. Müller, W. O. Schiehlen
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