Chaotic Dynamics of Elasto-plastic Structures: Experiments and Novel Computationl Methods

本研究的目标是在弹塑性结构力学动力学方面取得两方面的进展：(1)将非线性动力学和混沌的新方法扩展到非弹性结构力学领域，特别是使用新的实验技术，如庞加莱图和分形数学，以及探索固体力学中时空混沌的一些应用。(2)通过发明一种利用非线性细胞网络和现有的超级计算机将计算放在芯片上的方法，开发用于分析非线性振动的全新计算工具。

This proposal seeks to make two advances in the dynamics of elasto- plastic structural mechanics: (1) to extend new methods of nonlinear dynamics and chaos to the fields of inelastic structural mechanics, especially using new experimental techniques such as Poincare maps and fractal mathematics, as well as explore spatial- temporal chaos in some applications of solid mechanics. (2) To develop radically new computational tools for analysis of nonlinear vibrations by inventing a way to put the computation on a chip using nonlinear cellular networks, as well as using both existing supercomputers.