小波变换在MEMS降阶建模中的研究  

Study of Wavelet Transform to Reduced Order Modeling for MEMS

作　　者：张玉德[1] 孙道恒[1] 

机构地区：[1]厦门大学机电工程系,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2005年第B06期298-301,共4页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金项目(50275127)资助

摘　　要：获得系统的宏模型是MEMS系统级建模与仿真的关键.提出将小波变换的方法应用于MEMS降阶建模.介绍了小波变换的理论基础,提出了运用小波变换的方法对MEMS进行多尺度降阶建模的基本思想和算法的基本原理.针对最常见的静力学问题,建立了有限元求解方程,采用小波变换的方法提取出系统的几个不同阶次的降阶模型.算例表明:利用该方法通过适当的降阶次数,提取降阶模型可以大幅度地减少计算时间、降低计算复杂度,特别适合MEMS这种大系统的降阶建模.Obtaining the macro model of MEMS is the key of MEMS system-level modeling and simulation.In this paper,a method based on wavelet transform was applied to the reduced order modeling of MEMS.Theoretical principle was introduced.The basic idea for multiscale reduced modeling of MEMS and fundamentals of algorithm based on wavelet transform were presented.For the common statics problem,the FEM equation was built and several reduced order models with different orders were obtained.Numerical example demonstrates that reduced order model can greatly decrease the computing time and complexity and the model reduction method based on wavelet transform is especially practicable to model reduction for large-scale systems such as MEMS.

关 键 词：MEMS 小波变换 降阶模型 建模与仿真 计算复杂度 理论基础 方法应用 力学问题 基本原理 基本思想 计算时间 系统级 宏模型 解方程 有限元 多尺度 大幅度 大系统 阶次 提取 算法 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] TH-39[自动化与计算机技术—计算机科学与技术]