Mathematical modelling, numerical simulations and experimental verification of bifurcation dynamics of a pendulum driven by a dc motor
Mathematical modelling, numerical simulations and experimental verification of bifurcation dynamics of a pendulum driven by a dc motor
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DOI：
10.1088/0143-0807/36/5/055028
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发表时间：
2015-08
影响因子：
0.7
通讯作者：
M. Każmierczak;G. Kudra;J. Awrejcewicz;Grzegorz Wasilewski
中科院分区：
文献类型：
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作者：
M. Każmierczak;G. Kudra;J. Awrejcewicz;Grzegorz Wasilewski
建立了由直流电动机、旋转运动转换成直线运动的机构和关节水平驱动的单摆组成的系统的数学模型。假设曲柄的角速度恒定。模型的参数估计使用的实验数据组成的五个解决方案，对应于五个不同的恒定输入电压值。不同版本的数学模型，不同的细节，有关摩擦和阻尼建模，进行了测试。系统的真实的和模拟的行为之间得到了很好的协议。此外，该模型通过测试其预测分叉参数的临界值的能力进行了验证。
A mathematical model of a system consisting of a dc motor, mechanism converting the rotational motion to the linear one and a single physical pendulum with the joint horizontally driven is developed. Constant angular velocity of the crank is assumed. The parameters of the model are estimated using the experimental data consisting of five solutions corresponding to the five different values of constant input voltage. Different versions of the mathematical model, with different details concerning friction and damping modelling, are tested. A good agreement between real and simulated behaviour of the system is obtained. Moreover the model is validated by testing its ability to predict critical values of the bifurcation parameter.