Dynamic response of liquid-filled rectangular tank with elastic appendages under pitching excitation  

作　　者：吕敬 李俊峰 王天舒 

机构地区：[1]School of Aerospace,Tsinghua University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第3期351-359,共9页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10302013 and 10572022)

摘　　要：Nonlinear dynamics of liquid-filled rectangular tank with elastic appendages are studied. Based on the assumption of ideal fluid, the coupling dynamic equations of rigid tank, elastic appendages and liquid fuel are derived using H-O principle. In the case of pitch excitation, the modified potential function and wave height function are introduced to describe the moving boundary of fluid, then Galerkin＇s method is used to discretize the dynamic equations into ordinary differential equations. The natural frequencics of the coupling system are formulated in liquid depth, the length of the tank, etc. The formulae are confirmed by numerical simulations, which also show that the effects of liquid and elastic appendages on the attitude angular of rigid.Nonlinear dynamics of liquid-filled rectangular tank with elastic appendages are studied. Based on the assumption of ideal fluid, the coupling dynamic equations of rigid tank, elastic appendages and liquid fuel are derived using H-O principle. In the case of pitch excitation, the modified potential function and wave height function are introduced to describe the moving boundary of fluid, then Galerkin＇s method is used to discretize the dynamic equations into ordinary differential equations. The natural frequencics of the coupling system are formulated in liquid depth, the length of the tank, etc. The formulae are confirmed by numerical simulations, which also show that the effects of liquid and elastic appendages on the attitude angular of rigid.

关 键 词：liquid-filled rectangular tank elastic appendage nonlinear dynamics natural frequency PITCH 

分 类 号：V423[航空宇航科学与技术—飞行器设计]