Active boundary control of an Euler–Bernoulli beam for generating vibration-free state
Active boundary control of an Euler–Bernoulli beam for generating vibration-free state
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DOI：
10.1016/j.jsv.2007.03.015
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发表时间：
2007-07
影响因子：
4.7
通讯作者：
N. Tanaka;H. Iwamoto
中科院分区：
文献类型：
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作者：
N. Tanaka;H. Iwamoto
本文提出了Euler-Bernoulli梁的主动边界控制-ABC-，它使人们能够在目标梁结构的任何指定位置产生所需的边界条件，从而使结构具有由边界条件表征的所需特性。此外，ABC有可能在梁的指定区域中创建完全无振动的状态。本文首先用传递矩阵法介绍ABC的原理，导出ABC系统的最优控制律。结果表明，ABC方法除了能产生自由、铰接、固支和滑动支承等四种经典边界条件外，还能产生两种在真实的系统中无法观察到的边界条件，而ABC方法能实现这两种边界条件。还发现，作为将ABC应用于特定位置（包括梁的当前常规边界）的结果，可以实现梁的目标区域中的完全无振动状态。最后，使用自适应前馈控制的实验进行，表明ABC能够生成所需的边界条件在指定位置的目标梁，和一个完全无振动状态的梁。
This paper presents active boundary control—ABC—of an Euler–Bernoulli beam, which enables one to generate a desired boundary condition at any designated position of a target beam structure, thereby permitting the structure to possess desired properties characterized by the boundary condition. Furthermore, ABC has potential to create a completely vibration-free state in the designated area of a beam. This paper begins by presenting the principle of ABC using a transfer matrix method, the optimal control law of the ABC system being derived. It is found that, in addition to conventional four classical boundary conditions: free, pinned, clamped and sliding support, ABC can generate two more boundary conditions that may not be observed in real systems but realized by ABC. It is also found that as a result of applying ABC to a specific location, including a current conventional boundary of a beam, a completely vibration-free state in the target region of a beam can be realized. Finally, an experiment using an adaptive feedforward control was conducted, demonstrating that ABC enables the generation of a desired boundary condition at the designated location of a target beam, and of a completely vibration-free state of a beam.