Arnoldi精簡模型於壓電元件之應用
Arnoldi-based Model Order Reduction For Piezoelectric Device
Date Issued
2007
Date
2007
Author(s)
Kuo, Chi-Wei
DOI
en-US
Abstract
In this work, we present a methodology of efficient piezoelectric analysis using the Arnoldi-based model-order reduction technique. The piezoelectric numerical models, which are actually systems of ordinary differential equations (ODEs), are formulated by the finite element method. The ODEs systems can be reduced into low-order ODE systems using the Arnoldi-based model-order reduction technique. Also, it is shown that the reduced system to be passive. The finite-element formulation of 20-node Brick elements is used to create the full-meshed ODE models. Disk-type piezoelectric actuators and Rosen-type piezoelectric transformers are modeled and measured in this work. The results of displacement and voltage distributions by using the reduced models match very well with the results by the full-meshed models for different applied input voltage. The computational efficiency of the reduced models is at least 1,000 times higher than the full-meshed finite-element models.
Subjects
有限元素法
壓電元件
Arnoldi理論
精簡模型
被動性
finite element method
piezoelectric device
Arnoldi algorithm
model order reduction
passivity
Type
thesis
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