Transient tumbling chaos and damping identification for parametric pendulum

摘要

The aim of this study is to provide a simple, yet effective and generally applicablentechnique for determining damping for parametric pendula. The proposed model is morenrepresentative of system dynamics because the numerical results describe the qualitativenfeatures of experimentally exhibited transient tumbling chaotic motions well. Thenassumption made is that the system is accurately modelled by a combination of viscousnand Coulomb dampings; a parameter identification procedure is developed from thisnbasis. The results of numerical and experimental time histories of free oscillations arencompared with the model produced from the parameters identified by the classicnlogarithmic decrement technique. The merits of the present method are discussed beforenthe model is verified against experimental results. Finally, emphasis is placed on a closencorroboration between the experimental and theoretical transient tumbling chaoticntrajectories.