摘要
微机电系统通常涉及机、电、流体、热等多个耦合能量域,其设计与分析需要通过宏建模来降低复杂度。论文根据系统传递函数矩匹配原理,提出将Arnoldi算法与Taylor展开相结合来实现MEMS器件行为的宏建模,建立了典型MEMS微梁的宏模型。与有限差分法相对比,该方法可以较准确地实现MEMS器件的快速动态仿真。
Arnoldi algorithm is employed to implement model order reduction (MOR) of complex micro-electro-mechanical system (MEMS) based on Krylov subspace technique, and the Taylor series expansion is used to solve the weakly nonlinear problem. A 4-order macromodel of micro clamped-clamped electrostatic beam is established as an example to demonstrate the MOR process of coupled MEMS devices. Compared with the finite difference method, the dynamic simulation efficiency using the 4-order macromodel is improved greatly with satisfactory accuracy.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
2005年第3期411-415,共5页
Journal of Northwestern Polytechnical University
基金
国家自然科学基金(50375125)
博士点基金(2003069903
20040699009)资助
关键词
MEMS
宏建模
Arnoldi算法
TAYLOR展开
Algorithms
Computer simulation
Dynamics
Electrostatics
Finite difference method
Nonlinear systems