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Impact Oscillators || Analytical Determination of Bifurcations in an Impact Oscillator

โœ Scribed by Stephen Foale

Book ID
123645853
Publisher
The Royal Society
Year
1994
Tongue
English
Weight
305 KB
Volume
347
Category
Article
ISSN
0264-3952

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๐Ÿ“œ SIMILAR VOLUMES

Impact Oscillations: Linear Theory Of St
Impact Oscillations: Linear Theory Of Stability And Bifurcations
โœ A.P. Ivanov ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 499 KB

A unified approach to analysis of impact oscillations is proposed. Its mathematical essence is the continuous representation of the impulsive motion in some auxiliary variables. As a result an explicit formula for the fundamental matrix is obtained, which allows one to construct the characteristic e

Melnikov method for homoclinic bifurcati
Melnikov method for homoclinic bifurcation in nonlinear impact oscillators
โœ Zhengdong Du; Weinian Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 746 KB

Based on an mverted pendulum impacting on rigid walls under external periodm excitation, a class of nonhnear impact oscillators is discussed for its homochnic bifurcation The Melmkov method established for smooth dynamical systems is extended to be applicable to the nonsmooth one For nonlinear Impac

PERIODIC MOTIONS OF AN IMPACT OSCILLATOR
PERIODIC MOTIONS OF AN IMPACT OSCILLATOR
โœ C.N. Bapat ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 289 KB

Non-linear equations governing N impact periodic motions of a single-degree-of-freedom oscillator under a sinusoidal and bias force contacting rigid amplitude constraints on one or both sides have been developed with constant and velocity dependent coefficients of restitution. They also govern perio