Lyapunov exponents in discrete modelling of a cantilever beam impacting on a moving base

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• 作者：Krzysztof Czolczynski^a ; Andrzej Okolewski^b ; Barbara Blazejczyk-Okolewska^a ; ^{okolbar@p.lodz.pl}
• 关键词：Impacting cantilever beam ; Hertz's damp contact model ; Periodic solution ; Lyapunov exponents
• 刊名：International Journal of Non-Linear Mechanics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：88
• 期：Complete
• 页码：74-84
• 全文大小：3437 K
• 卷排序：88

文摘

The dynamics of a cantilever beam with time-varying amplitude constraint is explored. A new finite element reference model of the system is developed. Substitutive models with one degree and two degrees of freedom are proposed. The coefficient of dynamical behaviours based on the Lyapunov exponents is introduced. The applicability limits of 1DOF and 2DOF substitutive models are examined.