Presidential Young Investigator Awards

该 PYI 奖项将支持两个主题的研究，包括先进机械系统和先进电气元件。 第一项研究活动侧重于由刚性体和柔性体组成的系统的动力学。 将在几何精确结构理论的框架内开发此类系统的统一表述。 非线性特征以及非线性系统奇异点/曲面的鲁棒连续方法的发展。 第二个研究主题侧重于为下一代先进多层电容器（AMLC）开发基于有限元的计算机辅助工程系统。 将开发从麦克斯韦方程导出的场方程的公式。 随后将开发所得微分/代数方程的算法，以及合成 AMLC 的等效串联电阻和电感的方法，以用于后续电路仿真。

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.