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本文给出了由运动物体所生成内波的基本方程组和对应的谱方程组。该方程组的线性部分是一具有体积源 (其下简称为体源 )的 Sturm- Liouville本征值问题 ,而它的非线性部分是由体源与线性波场相互作用的谱表示。在这类强迫方程的源项中包含了 10类内波谱 ,这些谱最终均可利用内波的振幅谱表示。本文给出了线性波场波要素的谱表示和运动物体生成内波的非线性谱方程可解性的讨论。为了检验所得到的谱方程组 ,文中又进行了该谱方程组线性部分的数值计算。
In this paper, the basic equations of internal waves generated by moving objects and corresponding spectral equations are given. The linear part of the system is a Sturm-Liouville eigenvalue problem with a volume source (hereinafter referred to as the body source) and its nonlinear part is represented by the spectrum of the interaction between the source and the linear wave field. The source term of this type of forced equation contains 10 types of internal spectra, which can eventually be represented by the amplitude spectrum of the internal wave. This paper gives a discussion of the spectral representation of linear wavefield elements and the solvability of nonlinear spectral equations for the generation of internal waves in moving objects. In order to test the obtained spectral equation set, the numerical calculation of the linear part of the spectral equation set is carried out again.