| 悬臂梁非线性振动的压电分阶最优控制 |
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| 引用本文： | 刘灿昌,李红艳.悬臂梁非线性振动的压电分阶最优控制[J].机械强度,2011,33(6). |
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| 作者姓名： | 刘灿昌 李红艳 |
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| 作者单位： | 山东理工大学交通与车辆工程学院,淄博,255049 |
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| 基金项目： | 山东省自然基金项目资助(Y2007A33)~~ |
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| 摘 要： | 提出非线性的分阶最优控制策略,并将其应用于悬臂梁非线性振动的压电减振控制.建立悬臂梁非线性压电减振系统动力学模型,导出减振系统的非线性动力学运动微分方程.将梁振动挠度和压电驱动器的控制电压同时展开为小参数形式,利用摄动法实现非线性压电控制微分方程的线性化.通过空间解耦,得到状态空间方程.设计非线性分阶控制器,对该减振系统进行分阶最优控制.
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| 关 键 词： | 减振 最优控制 压电 梁 非线性控制 |
PIEZOELECTRIC GRADE OPTIMAL CONTROL FOR THE NON-LINEAR VIBRATION OF CANTILEVER BEAM |
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| LIU CanChang
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LI HongYan.PIEZOELECTRIC GRADE OPTIMAL CONTROL FOR THE NON-LINEAR VIBRATION OF CANTILEVER BEAM[J].Journal of Mechanical Strength,2011,33(6). |
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| Authors: | LIU CanChang LI HongYan |
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| Affiliation: | LIU CanChang LI HongYan(School of Transportation and Vehicle Engineering,Shandong University of Technology,Zibo 255049,China) |
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| Abstract: | A non-linear grade optimal control scheme is proposed and used in the piezoelectric vibration reduction control of non-linear cantilever beam.The dynamic model of non-linear vibration reduction beam with piezoelectric damper is built.The non-linear dynamic differential equations of the vibration reduction system are derived.The vibrational deflection and the piezoelectricity driver control voltage of beam are expanded as the small parametric form.The differential equation is linearized into a set of linear ... |
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| Keywords: | Vibration reduction Optimal control Piezoelectric Cantilever beam Non-linear control |
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