The objective of this study is to extend the concept of analogous piezoelectric networks to vibration mitigation of multiple nonlinear resonances. First, the undamped linear part of the electrical network is designed so as to possess similar modal characteristics as those of the underlying linear mechanical structure. Then, nonlinear electrical components possessing the same mathematical form as that of the mechanical nonlinearities are added to the network. Because both modal and nonlinear analogies are enforced, the electrical network can be seen as an analogue twin of the mechanical structure. When the network is coupled to the structure via an array of piezoelectric elements, it is shown numerically and experimentally that such an analogue twin offers important benefits for vibration mitigation over a broad range of frequencies and excitation amplitudes.

本研究的目的是将类似压电网络的概念扩展到多重非线性共振的减振。首先，电网的无阻尼线性部分被设计成具有与底层线性机械结构相似的模态特性。然后，将与机械非线性具有相同数学形式的非线性电气元件添加到网络中。由于模态和非线性类比都被强制执行，因此可以将电气网络视为机械结构的模拟孪生。当网络通过压电元件阵列耦合到结构时，