Purpose

An experimental–numerical study of an inverted pendulum system to control a reduced model of a main system is developed in this work.

Method

Initially, a dynamic system model with one degree of freedom (1DoF) translational in the horizontal direction is analyzed. To this system is coupled a passive control device in the geometry of a tuned mass damper inverted pendulum (TMD-IP). Different TMD-IP configurations are analyzed. The theoretical formulation adopted for free and forced vibration analysis is presented. Subsequently, an experimental bench composed of a reduced model with 1DoF, an TMD-IP and a dynamic exciter is designed and constructed. The data acquisition is performed via video techniques. A sensitivity analysis is performed, as well as an optimization, with the intention of finding the optimal parameters for the TMD-IP.

Results

Experimental and numerical analyses are performed on free vibration as well as forced vibration. Comparison of the results obtained showed a good agreement.

Conclusions

The TMD-IP showed to be a good solution reducing the main system horizontal vibrations.

中文翻译：

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优化倒立摆控制的一自由度（1DoF）动态系统的实验分析

目的

在这项工作中，进行了倒立摆系统控制主系统简化模型的实验数字研究。

方法

首先，分析了在水平方向上具有一个自由度（1DoF）的动态系统模型。具有调谐质量阻尼器倒立摆（TMD-IP）几何形状的无源控制设备与该系统耦合。分析了不同的TMD-IP配置。介绍了用于自由和强迫振动分析的理论公式。随后，设计并构建了一个由具有1DoF的简化模型，TMD-IP和动态激励器组成的实验台。数据采集​​是通过视频技术执行的。进行灵敏度分析以及优化，目的是为TMD-IP找到最佳参数。

结果

对自由振动和强制振动进行了实验和数值分析。比较所获得的结果显示出良好的一致性。

结论

TMD-IP被证明是减少主系统水平振动的很好的解决方案。