Efficient High-Order Frequency Interpolation of Structural Dynamic Response
Efficient High-Order Frequency Interpolation of Structural Dynamic Response
复制标题
结构动态响应的高效高阶频率插值
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
A. Pierce
中科院分区：
文献类型：
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作者：
C. Lecomte;J. McDaniel;P. Barbone;A. Pierce
提出了一种在有限频带内插值结构动态响应的方法。它基于使用插值点处的响应向量作为基础的运动方程的压缩。该基组自然地与特征值位于带内的特征向量对齐，从而产生一个产生插值响应的小型压缩模型。将西尔维斯特惯性定律与凝聚系统的特征值分析相结合，可以表明凝聚何时捕获位于感兴趣频带内的特征值。插值的高精度源于多种特征的组合：特征值和特征向量的准确估计以及匹配投影在力向量上的位移向量的值和斜率。
A method is presented for interpolating structural dynamic response within a finite frequency band. It is based on a condensation of the equations of motion using the response vectors at interpolation points as a basis. This basis set naturally aligns itself with the eigenvectors whose eigenvalues lie inside the band, resulting in a small condensed model that yields the interpolated response. Combining the Sylvester law of inertia with eigenvalue analysis of the condensed system indicates when the condensation captures the eigenvalues that lie in the band of interest. The high accuracy of the interpolation results from a combination of features: an accurate estimation of eigenvalues and eigenvectors as well as matching the value and slope of the displacement vector projected on the force vector.