Half-order optimally scaled Fourier expansion method for solving nonlinear dynamical system
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- 作者：Honghua Dai ; hhdai@nwpu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Xiaokui Yue xkyue@nwpu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Jianping Yuan jyuan@nwpu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Dan Xie ; dxie@nwpu.edu.cn" class="auth_mail" title="E-mail the corresponding author
- 关键词：Optimal scaling ; Half order technique ; Fourier expansion series ; OSFEM(H) ; Differential transformation method
- 刊名：International Journal of Non-Linear Mechanics
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：87
- 期：Complete
- 页码：21-29
- 全文大小：1327 K
文摘
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An optimally scaled Fourier expansion method with half-order technique is proposed.
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The presently proposed method is proved to be more accurate and efficient than the conventional Fourier expansion method.
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The present method is demonstrated to be more accurate than the harmonic balance method, and more stable than the differential transformation method.
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Numerical experiments verified the accuracy and efficiency of the proposed method.