New Generation Damping Technologies

在频域线性系统的辨识、分析和设计中，输出频率响应是非常重要的，在控制、通信和振动研究中有着广泛的应用。这项研究将通过关注作者最近导出的Volterra类非线性系统的输出频率响应函数[OFRF]来扩展这些结果。这一新概念首次揭示了对于一大类非线性系统，其输出频谱与定义系统非线性的时域模型参数之间存在简单的多项式关系。这为对sdof和mdof系统进行非线性阻尼优化设计提供了机会，确定了结果的有效范围，并在实验室中使用减振试验台验证了新的设计技术。

The output frequency response is fundamentally important in the identification, analysis and design of linear systems in the frequency domain with many applications in control, communications, and vibration studies. This research investigation will extend these results by focusing on the output frequency response function [OFRF] for the Volterra class of nonlinear systems, which has recently been derived by the authors. The new OFRF concept reveals, for the first time, that for a wide class of nonlinear systems there is a simple polynomial relationship between the output spectrum and the time domain model parameters, which define the system nonlinearity. This provides the opportunity to analytically conduct optimal designs of nonlinear damping for both sdof and mdof systems, to determine the range of validity of the results, and to validate the new design technology using a vibration supression rig in the laboratory.