Timoshenko梁功率流主动控制研究

王有懿;马文来;赵阳

振动与冲击 ›› 2013, Vol. 32 ›› Issue (7) : 102-106.

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (7) : 102-106.
论文

Timoshenko梁功率流主动控制研究

  • 王有懿 ,马文来 ,赵阳
作者信息 +

Active Control of Power Flow for Timoshenko Beam

  • WANG You-yi MA Wen-lai ZHAO Yang
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文章历史 +

摘要

为了研究扰动影响下梁式结构的动力学响应与主动控制,首先基于Timoshenko梁理论,采用行波方法建立了悬臂梁结构的动力学模型并获得了其在扰动下的精确动力学响应,进一步得到结构中传播的功率流,并以此为目标函数,优化得到了最优控制力的大小与相位,然后对结构施加最优控制力,实现了Timoshenko梁结构的功率流主动控制。对Timoshenko梁结构动力学响应与功率流主动控制方法进行了数值计算,并与Euler-Bernoulli梁理论计算结果进行了对比分析。结果表明:采用行波方法计算梁结构的动力学响应准确可靠;Timoshenko梁模型较Euler-Bernoulli梁模型在中、高频段更为精确,且更接近工程实际;通过数值计算与分析验证了基于行波方法功率流主动控制的正确性与有效性,并且功率流主动控制可以明显降低梁式结构全频域内的抖动。

Abstract

To study dynamic response and active control of beam structure under the influence of disturbance, firstly, based on the Timoshenko beam theory, the kinetic model of cantilever beam is established by travelling wave method and the accurate dynamic response is obtained, then power flow transmission of structure is determined. The power flow is used as the objective function, and we will get optimized control force amplitude and phase by optimization algorithm, which is applied to the beam structure. Ultimately, active control of power flow for Timoshenko beam structure is realized. The numerical simulation of dynamic response and active control method of power flow for Timoshenko beam structure is made and the results are compared with the Euler-Bernoulli beam theory. The results show that the dynamic response of beam structure by travelling wave method is accurate and reliable; Timoshenko beam model is more accurate than Euler-Bernoulli beam model in the mid-high frequency domain, and is closer to practical engineering;It proved that active control method of power flow by travelling wave method is right and valid, and this method can efficiently reduce the jitter of the beam structure in the whole frequency domain by numerical calculation and analysis.

关键词

Timoshenko梁 / 行波方法 / 动力学响应 / 功率流 / 主动控制

Key words

Timoshenko beam / travelling wave method / dynamic response / power flow / active control

引用本文

导出引用
王有懿;马文来;赵阳. Timoshenko梁功率流主动控制研究[J]. 振动与冲击, 2013, 32(7): 102-106
WANG You-yi MA Wen-lai ZHAO Yang. Active Control of Power Flow for Timoshenko Beam[J]. Journal of Vibration and Shock, 2013, 32(7): 102-106

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