Simultaneous Vibration Confinement and Disturbance Rejection Through Electromechanical Tailoring of Piezoeletric Networks

本计画的目的是探讨一种新颖的振动控制概念--借由压电网路的剪裁，同时抑制干扰与限制振动。 振动约束的基本原理是改变结构的模态，使结构中相应的模态分量在相关区域的振幅比结构的其余部分小得多。 结果，振动能量将被限制在不太重要的区域。 虽然振动约束是一个有吸引力的想法，一些关键的问题需要解决之前，这个概念可以实现。 本文的研究工作包括理论发展、系统分析和实验研究。 拟议研究的意义和影响将是：（a）利用压电网络，可以通过将能量限制在系统的电路部分来抑制整个机械结构的振动，这是电流限制方法无法实现的。(b)以电路元件作为设计变量，可以重新设计电气系统，以实现振动限制，而无需改变机械结构-调整电路比修改机械部件容易得多。(c)通过将电路元件作为附加设计变量，可以显著增加系统设计空间。这可以允许同时左/右特征结构分配的可能性。因此，可以实现干扰抑制（通过成形左特征向量）以及能量约束（成形右特征向量），并最终获得比当前实践更好的振动控制性能。(d)所提出的努力将是第一次检查压电网络剪裁一般复杂结构的系统和严格的方法。

The overall project goal is to investigate a novel vibration control concept --simultaneous disturbance rejection and vibration confinement via piezoelectric network tailoring. The underlying principle for vibration confinement, which has attracted significant attention among vibration control researchers, is to alter the structural modes in such a manner that the corresponding modal components have much smaller amplitude in concerned areas than the remaining part of the structure. As a result, the vibration energy will be confined to regions that are less important. While vibration confinement is an attractive idea, some critical problems need to be addressed before the concept can be realized. The proposed new idea can solve these problems and greatly advance the state of the art. The research tasks include theory development, system analysis, and experimental investigation. The significance and impact of the proposed research will be: (a) With piezoelectric networks, it is possible to suppress vibration of the entire mechanical structure by confining the energy in the electrical circuitry part of the system, which cannot be achieved with the current confinement approach. (b) With the circuit elements as design variables, one can re-design the electrical system to achieve vibration confinement without changing the mechanical structure -- adjusting electrical circuits is much easier than modifying mechanical components. (c) With the circuit elements as additional design variables, the system design space can be significantly increased. This could allow the possibility of simultaneous left/right eigenstructure assignment. One can thus achieve disturbance rejection (through shaping the left eigenvector) together with energy confinement (shaping the right eigenvector) and end up with much better vibration control performance than that of the current practice. (d) The proposed effort will be the first to examine piezoelectric network tailoring for general complex structures with a systematic and rigorous approach.