圆柱形弹性壳液耦合系统大幅低频重力波振动机理的研究

Mechanism of Low-Frequency Large-Amplitude Gravity Waves of Liquid in Cylindrical Shell Container

以圆柱形弹性壳液耦合系统为研究对象,根据非线性振动理论,建立了多自由度的非线性振动方程。通过数值计算,发现当激振力足够大,且激振力的频率在壳体固有频率与重力波固有频率之和的一个窄频带内时,会产生大幅低频重力波。从而解释了这一现象产生的振动机理。理论结果与实验结果基本吻合。

According to the nonlinear vibration theory,a multiple-degree-of-freedom system nonlinear equations is constructed.The numerical results show that low frequency and large amplitude gravity waves can be generated by the sufficiently large external excitation within a narrow the frequency band which appoaches to the sum of the excitation frequency and the shell's inherent frequency.And the theoretical analysis coincides with the numerical evaluation.