Chaotic Zones in Triple Pendulum Dynamics Observed Experimentally and Numerically
Chaotic Zones in Triple Pendulum Dynamics Observed Experimentally and Numerically
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DOI：
10.4028/www.scientific.net/amm.9.1
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发表时间：
2007-10
期刊：
影响因子：
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通讯作者：
J. Awrejcewicz;G. Kudra;Grzegorz Wasilewski
中科院分区：
文献类型：
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作者：
J. Awrejcewicz;G. Kudra;Grzegorz Wasilewski
建立了第一个物体周期受力的三重物理摆实验台。建立了真实的摆的数学模型。将关节摩擦力模型化为干摩擦力和阻尼力的组合。根据模型输出信号和实验输出信号，对模型参数进行了估计。对于匹配函数的最小值搜索，采用单纯形法。模型和真实的系统之间的吻合很好。几个混沌区的数值检测和实验证实。
The experimental rig of the triple physical pendulum with the first body periodically forced is built. A mathematical model of the real pendulum is created. Friction in joints is modeled as a composition of dry friction and damping. The parameters of the model are estimated matching the output signals from model and experiment. For the minimum searching of the matching function the simplex method is used. Very good agreement between model and real system is obtained. Few chaotic zones are detected numerically and confirmed experimentally.