Arnoldi-based Model Order Reduction For Piezoelectric Device

• Main Authors: Chi-Wei Kuo, 郭崎煒
• Other Authors: Yao-Joe Yang
• Format: Others
• Language: en_US
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/03116543894706336223

碩士 === 臺灣大學 === 機械工程學研究所 === 95 === 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.