本项目拟对包含基于压电材料的非线性能量阱装置的机电耦合系统的动力学特性开展研究。该非线性能量阱装置由一种强非线性压电分支电路实现。强非线性特性可通过在传统的谐振分支电路中引入负电容和非线性电容获得。..本项目以耦合于非线性压电能量阱装置的单自由度线性振动结构为应用对象，研究此类非线性机电耦合系统的动力学建模及特有的非线性定向能量转移现象。研究表明，当线性振动系统承受高于某一能量阈值的冲击载荷时，将触发非线性定向能量转移现象：进入线性系统的冲击能量不可逆转地向非线性子系统传输并耗散。非线性压电能量阱装置以其能引发系统能量再分布现象并迅速耗散外部能量的特性，或成为一种极具潜力的新型振动抑制方案。..本项目拟首先考察非线性耦合系统的模态结构与模态能量之间的关系，从非线性模态理论的角度来探索非线性定向能量转移的触发机制。其次，该系统在周期激励下的响应特性也是本项目的重要研究内容。最后，本项目拟对压电能量阱装置进行试验验证,并归纳总结非线性压电分支电路的设计准则,以寻求其最优性能。综上所述，本项目期望能为基于新型压电能量阱装置的振动抑制方案提供理论实验支持，并推动非线性能量阱理论的发展。

An essentially nonlinear piezoelectric shunt circuit is proposed for the practical realization of nonlinear energy sink (NES).This study focuses on the global dynamic behavior of such a piezoelectric-based NES coupled with a single degree-of-freedom linear mechanical oscillator...The essentially nonlinear piezoelectric shunt circuit is achieved by introducing nonlinear capacitance and negative capacitance into the traditional resonant circuit. The requirement of essential nonlinearity plays a key role in the construction of NES. Thus, physical realizations of nonlinear/negative capacitance are critical issues of major concern...The transient dynamics of the global system will be first investigated when the primary linear oscillator undergoes impulsive loads. Nonlinear targeted energy transfer (TET) phenomenon is supposed to be observed provided that the input energy is above a critical threshold. TET is defined as the one-way (irreversible) channel of vibrational energy from the directly excited linear primary structure to the attached.NES. Namely, a significant portion of the input energy to the linear oscillator will quickly get passively absorbed and locally dissipated by the NES. With the capacity of absorbing external energy, the piezoelectric-based NES possesses potentiality to serve as highly effective nonlinear vibration absorber for flutter suppression...The forced response of the coupled electro-mechanical system under harmonic external excitation applied to the mechanical oscillator will be investigated as well. Such essentially nonlinear piezoelectric shunt circuits do not have preferential resonant frequencies of oscillation, which enables them to resonantly interact with modes of the primary system at arbitrary frequency ranges. Then these circuits as practical realization of NES, act in essence, as passive, adaptive, broadband vibration absorber...Finally, nonlinear tuning design for the piezoelectric-based NES will be further studied in order to achieve its optimal performance in terms of vibration reduction. Above all, this project aims to develop a nonlinear vibration absorber taking advantage of the piezoelectric-based nonlinear energy sink. In the meanwhile, we expect that our work will contribute to and arise more attention to the NES theory in China.