Abstract：The fluid-structure coupled vibration of a circular plate under elastic boundary conditions was studied. The deflection of the plate was expanded into a series with its dry modal shapes taken as base functions and the motion of fluid was described with a velocity potential function. According to the equilibrium differential equation of the plate and the velocity continuous conditions on the fluid-structure coupled interface,Galerkin method and Fourier-Bessel series expansion one were used to establish the governing dynamic equation of the system. The natural vibration characteristics of the circular plate in contact with fluid were solved. The calculation results were compared with those of numerical simulation to verify the correctness of the proposed methods. Through changing spring stiffness,the vibration characteristics of the circular plates under several common boundary conditions were analyzed. The results showed that fluid has little influences on modal shapes of the circular plate under free and guided boundary conditions. The influences of fluid depth on the vibration characteristics of the circular plate were also studied. The results showed that when fluid depth is larger than 1.5 times of the plate’s radius,influences of fluid depth on free vibration of the circular plate can be ignored.
陈美霞，姚仕辉，谢坤. Galerkin法求解弹性边界条件下圆板的流-固耦合振动特性[J]. 振动与冲击, 2019, 38(7): 204-211.
CHEN Meixia，YAO Shihui，XIE Kun. Fluid-structure coupled vibration of a circular plate under elastic boundary conditions using Galerkin method. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(7): 204-211.
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