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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Control of a nonlinear dynamic structural model of an F-15 tail section under primary resonance
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Control of a nonlinear dynamic structural model of an F-15 tail section under primary resonance

机译：一次共振条件下F-15尾部非线性动力学结构模型的控制

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摘要

We used two simple control laws based on linear velocity and quantic feedback to suppress the high-amplitude vibrations of a structural dynamic model of the twin-tail assembly of an F-15 fighter when subjected to harmonic resonance excitations. We developed the nonlinear differential equations of motion and obtained an approximate solution using the method of multiple scales. Four first-order equations governing the amplitudes and phases of the response were derived. Then, a bifurcation analysis was conducted to examine the stability of the system and investigate the performance of the control laws. The theoretical findings indicate that the control laws lead to effective vibration suppression and bifurcation control. The results show that both laws are effective at suppressing the vibrations. To compare the performance of both techniques, we calculated the power requirements for a simple system.
机译：我们使用了两个基于线速度和定量反馈的简单控制定律，以抑制F-15战斗机双尾组件结构动力学模型在受到谐波共振激励时的高振幅振动。我们开发了运动的非线性微分方程，并使用多尺度方法获得了近似解。得出了控制响应幅度和相位的四个一阶方程。然后，进行了分叉分析以检查系统的稳定性并研究控制律的性能。理论发现表明，控制律导致有效的振动抑制和分叉控制。结果表明，这两个定律都有效地抑制了振动。为了比较两种技术的性能，我们计算了一个简单系统的功率要求。

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