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Abstract: Vibration analysis of nonlinear parametrically and
self-excited 4-h cold rolling system of two degrees of freedom is
carried out. The model contains two van der Pol oscillators coupled by a
linear spring with a periodically changing stiffness. By means of a
multiple-scales method, the existence and stability of periodic
solutions in a first-order approximation close to the main parametric
resonance are investigated, and the frequency-response equations are
provided. Bifurcations of the system and regions of chaotic solutions
are found. It follows from the maximal Lyapunov exponent and Poincaré
map that vibrations of the rolling system appear more complex with
larger excitation amplitude.
Key words: Rolling mill Chatter Resonance vibration Chaos Parametric
excitation
CLC No: TB123
TG335.12
国家重大基础研究项目基金(G1998020320)和湖北省自然科学基金(2000j125)资助项目.
Received 20020814, received in revised form 20021228
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