Research Initiation: Resonance Suppression Design by Moving Boundary and Eigenvalue Placement

本研究主要针对挠性板的共振抑制设计 机械系统。具体而言，研究将调查 包括振动固体支撑的可行性 结构提供阻尼和额外的刚度 大振幅振动条件。设计这样一个系统 需要先验地建立分析关系 系统几何形状和特征值之间的关系， 边界偏微分方程这将 在数学建模过程中完成， 计算机模拟工作。预计结果将提供 使用固体支架和调整设计的指南 变量的特征值放置以及扩展知识 非自伴偏微分算子 */

This research focuses on resonance suppression design in flexible mechanical systems. Specifically, the research will investigate the feasibility of including solid supports to vibration structures to provide damping and additional stiffness under large amplitude vibration conditions. To design such a system requires apriori establishment of analytical relations between system geometry and eigenvalues as governed by moving boundary partial differential equations. This will be done during the course of the mathematical modeling and computer simulation effort. The results are expected to provide guidelines for using solid supports and adjusting design variables for eigenvalue placement as well as extending knowledge of non self adjoint partial differential operators *** //