Probabilistic Electromechanical Modeling of Nanostructures with Random Geometry
Probabilistic Electromechanical Modeling of Nanostructures with Random Geometry
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具有随机几何形状的纳米结构的概率机电建模
DOI：
10.1166/jctn.2009.1283
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发表时间：
2009
影响因子：
--
通讯作者：
R. Ghanem
中科院分区：
文献类型：
--
作者：
M. Arnst;R. Ghanem
本文关注纳米结构机电行为的概率建模，以评估几何特征变化对器件性能的影响。通过将这些边界视为随机过程来适应纳米结构边界位置中可能存在的拓扑不确定性。展示了如何借助多项式混沌展开的伽辽金投影来离散由此获得的概率机电模型。提供了一个插图来演示所提出的框架。
This article is concerned with the probabilistic modeling of the electromechanical behavior of nanostructures to assess the effect of variations in geometrical characteristics on the device performance. The topological uncertainty that may be present in the position of the boundaries of nanostructures is accommodated by treating these boundaries as stochastic processes. It is shown how the probabilistic electromechanical models thus obtained can be discretized with the help of Galerkin projections on polynomial chaos expansions. An illustration is provided to demonstrate the proposed framework.