Summary
The influence of a specific discontinuous dynamic vibration absorber on the motion of a vibrating system is investigated. Attention is paid to the effectiveness in the case of free vibrations and of vibrations due to sinusoidal excitations, where structural damping is also taken into account. For certain configurations numerical results are given.
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Abbreviations
- M :
-
mass of the vibrating system
- m :
-
mass of the ball
- c :
-
spring constant
- k :
-
structural damping coefficient
- g :
-
acceleration of gravity
- F 0 :
-
amplitude of external force
- ω :
-
frequency of external force
- 2σ′ :
-
distance over which the ball may move
- x′ :
-
displacement of centre of tube
- y′ :
-
displacement of the ball x′ and y′ are measured positive downward from the equilibrium position of the system when no gravitational force would act
References
Durand, W. F., Aerodynamic Theory, Vol. II, Div. E, J. Springer, Berlin, 1935.
Vooren, A. I. van de and J. Boersma, Trillingsonderzoek van een televisieantenne, fabrikaat Twea, N.L.L. Report F214, 1958.
Kaper, H. G., The Behaviour of a Mass-Spring System Provided with a Discontinuous Dynamic Vibration Absorber”, Math. Inst. of the University of Groningen, Report TW-6, 1960.
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Kaper, H.G. The behaviour of a mass-spring system provided with a discontinuous dynamic vibration absorber. Appl. sci. Res. 10, 369 (1961). https://doi.org/10.1007/BF00411931
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DOI: https://doi.org/10.1007/BF00411931