Presidential Young Investigator Awards

该PYI奖将支持两个主题的研究，包括先进的机械系统和先进的电子元件。第一个研究活动集中在由刚体和柔体组成的系统动力学上。这种系统的统一公式将在几何精确结构理论的框架内发展。非线性系统奇异点/曲面鲁棒延拓方法的发展及其非线性特性。第二个研究课题是基于有限元的下一代先进多层电容器（AMLC）计算机辅助工程系统的开发。将发展由麦克斯韦方程组导出的场方程的公式。接下来，我们将开发微分/代数方程的算法，以及合成AMLC等效串联电阻和电感的方法，用于后续的电路仿真。

This PYI award will support research in two topics including advanced mechanical systems, and advanced electrical components. The first research activity focuses on the dynamics of systems comprising rigid and flexible bodies. A unified formulation of such systems will be developed within the framework of geometrically-exact structural theories. Nonlinear characteristics with the development of robust continuation methods for singular points/surfaces for nonlinear systems. The second research topic focuses on the development of a finite element based computer aided engineering system for the next generation of advanced multilayer capacitors (AMLC). Formulation of field equations derived from Maxwell's equations will be developed. This will be followed by the development of algorithms for the resulting differential/algebraic equations, and of methods to synthesize the equivalent series resistance and inductance of AMLC for subsequent circuit simulations.