On some generalization of the area theorem with applications to the problem of rolling balls

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2017 ◽  
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Lukas Hanschke ◽  
Malte Kremser ◽  
Jonathan J Finley ◽  
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pp. 761-764 ◽  
Author(s):  
C. MICHEYL ◽  
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2019 ◽  
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R. Urmancheev ◽  
K. Gerasimov ◽  
M. Minnegaliev ◽  
T. Chanelière ◽  
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2007 ◽  
Vol 258 (1) ◽  
pp. 13-22 ◽  
Author(s):  
A. A. Agrachev
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Nonlinearity ◽  
2018 ◽  
Vol 31 (9) ◽  
pp. 4006-4030 ◽  
Author(s):  
Božidar Jovanović
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1998 ◽  
Vol 2 (5) ◽  
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Author(s):  
J. Eberly
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Author(s):  
H. Sato ◽  
M. Chishima

To enhance transport safety and reliability of ropeway systems, it is essential to reduce the swing of the carriers that results from wind, etc. In the previous report [1], we provided a practical damping equipment using two rolling balls (hereinafter described as “two-ball rolling type damping equipment”) to reduce the swing of ropeway carriers. A linearized dynamic model is proposed. Then, on the basis of relevant parameters, the frequency response and time domain response of the system is studied and discussed. In this report, we will study relationship between theoretical best damping coefficient ratio and friction coefficient of two-ball system. Then we will provide the way to implement the desired damping for the two-ball system. We will then provide the detail on how to estimate the inherent damping within the two-ball system. In addition, we will show and discuss two balls behavior when this equipment works experimentally.


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