
Mechanism of Low-Frequency Large-Amplitude
Gravity Waves of Liquid in Cylindrical Shell Container
Liu Xijun(1),Liu Zhenyu(1),DuYing(1),Wang Dajun(2),Jia Qifen(1)
(1 Department of Mechanics and Engineering Measurement, Tianjin University, Tianjin
300072, China)
(2 Department of Mechanics and Engineering Science, Peking University, Beijing 100871,
China)
Abstract: 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.
Keywords: coupled liquid and elastic shell system gravity wave, nonlinear
vibration.