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基于结点位移插值原理,建立了约束模态子结构界面自由度的缩减方法,形成了约束子结构模态综合法的二次坐标变换矩阵。通过第二次坐标变换可有效地缩减计算系统的广义自由度,提高计算效率。算例表明,这种缩减方法是合理有效的。该文还讨论了插值基点的选择方式对计算精度的影响,计算结果表明,当选择的插值基点在界面上均匀分布时,计算精度最好。最后,对比了插值域的形状对计算精度的影响,计算结果表明,矩形插值域的计算精度要好于三角形插值域。
Based on the principle of node displacement interpolation, a method of reducing the degree of freedom of the constrained mode substructure interface is established, and a quadratic coordinate transformation matrix of constrained substructure modal synthesis method is formed. The second coordinate transformation can effectively reduce the generalized degree of freedom of the computing system and improve the computational efficiency. The example shows that this reduction method is reasonable and effective. The paper also discusses the influence of the choice of interpolation point on the calculation accuracy. The calculation results show that the calculation accuracy is best when the selected interpolation point is uniformly distributed on the interface. Finally, the influence of the shape of the interpolation domain on the calculation accuracy is compared. The calculation results show that the calculation accuracy of the rectangular interpolation domain is better than that of the triangular interpolation domain.