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Bifurcation and stability analysis for a non-smooth friction oscillator (1996)

Oestreich, M. ; Hinrichs, N. ; Popp, K.

Springer

Archive of applied mechanics 66 (1996), S. 301-314

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ISSN: 1432-0681

Keywords: non-smooth friction oscillator ; stick-slip vibrations ; bifurcation analysis ; chaos ; Lyapunov exponents

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: Summary Friction-induced self-sustained oscillations, also known as stick-slip vibrations, occur in mechanical systems as well as in everyday life. On the basis of a one-dimensional map, the bifurcation behaviour including unstable branches is investigated for a friction oscillator with simultaneous self-and external excitation. The chosen way of mapping also allows a simple determination of Lyapunov exponents.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00795247

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