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The rattling of Euler's disk
ID
Saje, Miran
(
Author
),
ID
Zupan, Dejan
(
Author
)
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MD5: 4178966F257A097A9C7196BFEFC2D6E2
PID:
20.500.12556/rul/8e0783c3-4072-4b13-bd92-542ddc826f73
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Abstract
The motion of a disk spinning on a horizontal surface has drawn a great deal of interest recently. The objectives of the researches are to find out what produces an increasing rattling sound and why the spinning ends so abruptly. In order to understand the behaviour of the spinning disk better, we derived a mathematical model of the rolling/sliding motion of a thin, rigid disk on a rigid, rough horizontal plane, and found the numerical solution of the related initial value problem. Then we studied the motion of the commercially available Tangent Toy disk [3]. The results show that the normal contact force becomes very large whenever the inclination of the disk becomes small. As the inclination of the disk oscillates with time, the time-graph of the normal contact force exhibits periodical peaks, which correlate well with the peaks in the recorded sound response. They could well be responsible for the rattling sound heard during the motion.
Language:
English
Keywords:
Euler's disk
,
rolling
,
sliding
,
numerical solution
,
rattling sound
Typology:
1.01 - Original Scientific Article
Organization:
FGG - Faculty of Civil and Geodetic Engineering
Publisher:
Emerald
Year:
2006
Number of pages:
Str. 49-66
Numbering:
Letn. 2, št. 1
PID:
20.500.12556/RUL-32174
UDC:
624.072:519.63
ISSN on article:
1573-6105
DOI:
10.1163/157361106775249952
COBISS.SI-ID:
3141217
Publication date in RUL:
10.07.2015
Views:
3474
Downloads:
715
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Record is a part of a journal
Title:
Multidiscipline modeling in materials and structures
Publisher:
VSP
ISSN:
1573-6105
COBISS.SI-ID:
3140961
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