1. Equivalent orthotropic elastic moduli identification method for laminated electrical steel sheets
- Author
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Atsushi Kawamoto, Kikuo Fujita, Masakatsu Kuroishi, Yasunari Nishikawa, Shintaro Yamasaki, Akira Saito, and Hideo Nakai
- Subjects
Frequency response ,Materials science ,Aerospace Engineering ,02 engineering and technology ,engineering.material ,Orthotropic material ,01 natural sciences ,0203 mechanical engineering ,Normal mode ,0103 physical sciences ,Elastic modulus ,Civil and Structural Engineering ,010302 applied physics ,business.industry ,Mechanical Engineering ,Structural engineering ,Finite element method ,Computer Science Applications ,Vibration ,020303 mechanical engineering & transports ,Control and Systems Engineering ,Non-linear least squares ,Signal Processing ,engineering ,business ,Electrical steel - Abstract
In this paper, a combined numerical–experimental methodology for the identification of elastic moduli of orthotropic media is presented. Special attention is given to the laminated electrical steel sheets, which are modeled as orthotropic media with nine independent engineering elastic moduli. The elastic moduli are determined specifically for use with finite element vibration analyses. We propose a three-step methodology based on a conventional nonlinear least squares fit between measured and computed natural frequencies. The methodology consists of: (1) successive augmentations of the objective function by increasing the number of modes, (2) initial condition updates, and (3) appropriate selection of the natural frequencies based on their sensitivities on the elastic moduli. Using the results of numerical experiments, it is shown that the proposed method achieves more accurate converged solution than a conventional approach. Finally, the proposed method is applied to measured natural frequencies and mode shapes of the laminated electrical steel sheets. It is shown that the method can successfully identify the orthotropic elastic moduli that can reproduce the measured natural frequencies and frequency response functions by using finite element analyses with a reasonable accuracy.
- Published
- 2016
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