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Application of gram-schmidt regression to modeling of giant magnetostrictive material
Authors:Hongli Wang  Yatao Zhang  Zhiwen Zhu
Institution:1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, China
2. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
Abstract:A giant magnetostrictive material (GMM) model is developed based on the hysteretic nonlinear theory. The Gram-Schmidt regression method is introduced to determine the parameters of the model as well as the relationship between the material strain and the strength and frequency of magnetic field in the model. Through comparison, it is shown that this regression method has good performance in significance test. Then the model is applied to study the motion law of a circular plate in classical GMM transducer, which helps control the transducer rapidly and accurately.
Keywords:giant magnetostrictive material  Gram-Schmidt regression  modeling
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