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Repeated impacts on a sinusoidally vibrating table reappraised

โœ Scribed by C.N. Bapat; S. Sankar; N. Popplewell

Book ID
108358401
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
896 KB
Volume
108
Category
Article
ISSN
0022-460X

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๐Ÿ“œ SIMILAR VOLUMES

The dynamics of repeated impacts with a
The dynamics of repeated impacts with a sinusoidally vibrating table
โœ P.J. Holmes ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1007 KB

A deceptively simple difference equation is derived which approximately describes the motion of a small ball bouncing vertically on a massive sinusoidally vibrating plate. In the case of perfect elastic impacts, the equation reduces to the "standard mapping" which has been extensively studied by phy

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The dynamics of a bouncing ball with a sinusoidally vibrating table revisited
โœ Albert C. J. Luo; Ray P. S. Han ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 934 KB

The dynamical behavior of a bouncing ball with a sinusoidally vibrating table is revisited in this paper. Based on the equation of motion of the ball, the mapping for period-1 motion is constructed and thereby allowing the stability and bifurcation conditions to be determined. Comparison with Holmes