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Forced vibration of strings

American Journal of Physics, 1982
The forced vibration of strings has much in common with, on the one hand, their free vibration and, on the other hand, the forced harmonic motion of single objects. But there are also peculiarities, some of which are investigated here. It is found useful to distinguish two kinds of forcing; and some suggestions are made about vibrating strings in such ...
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Forced Vibrations of a Nonhomogeneous String

SIAM Journal on Mathematical Analysis, 2008
We prove existence of vibrations of a nonhomogeneous string under a nonlinear time periodic forcing term in the case in which the forcing frequency avoids resonances with the vibration modes of the string (nonresonant case). The proof relies on a Lyapunov–Schmidt reduction and a Nash–Moser iteration scheme.
Baldi, P., Berti, M.
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Vibrating beam force transducer

The Journal of the Acoustical Society of America, 2009
An apparatus and method for monolithic force transducers in which a sensed force is applied across only two ends of a pair of force sensing elements so that the pair of force sensing elements are loaded in series with one in compression and the other in tension, whereby the force sensed by each of the two force sensing elements are identically equal in
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VIBRATION OF EXTERNALLY-FORCED FROUDE PENDULUM

International Journal of Bifurcation and Chaos, 1999
Motion of self-excited Froude pendulum under external forcing were analyzed. Differential equation of motion includes the nonlinear damping term of Rayleigh's type. Using multiple time scale method and Lyapunov theory, vibrations, synchronization and stability of the system were examined.
Litak, Grzegorz   +3 more
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Control of Forced Vibrations

2015
Magnetoelastic forced vibrations of a conducting plate caused by either nonstationary external forces of nonelectromagnetic origin, or with the help of a nonstationary harmonic magnetic field, are examined. The following results are conditioned by the interaction of mechanical and electromagnetic processes in oscillating thin bodies.
Gevorg Baghdasaryan, Marine Mikilyan
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Forced Vibrations of Arches

2011
This chapter is devoted to forced vibration analysis of arches and arched structures subjected to disturbing loads. Different types of arches and theirs loading are considered. Analytical methods of analysis are applied.
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Forced Vibrations

2023
Thomas Kuttner, Armin Rohnen
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Forced Vibration with Damping

American Journal of Physics, 1955
The experimental determination of the response curves for forced vibration with velocity damping, using a moving-coil galvanometer, is described. The mechanism for producing a sinusoidal emf, of continuously variable frequency ranging from zero to 0.4 cy/sec, is described, together with a method for the determination of the phase angle between the ...
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Vibrating-wire Force Transducers

2011
The resonators (wires – as described in this chapter, rods, beams or tubes) are mechanical modifiers in which an elastic element is excited into vibration at its natural frequency, the value of which depends on the desired input quantity, e.g. force [11.1]. The output is thus at a frequency depending on the measurand.
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Forced lattice vibrations. II

Summary: [For part I see ibid., 1187-1250 (1995; Zbl 0860.34004, see the preceding review).] This is the second part of a two-part series on forced lattice vibrations in which a semi-infinite lattice of one-dimensional particles \(\{x_n\}_{n\geq 1}\), \[ \text{(i)}\quad \ddot x_n=F(x_{n-1}-x_n)- F(x_n-x_{n+1}),\;n\geq 1,\qquad \text{(ii)}\quad x_n(0 ...
Deift, Percy   +2 more
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