Dynamic Response of a Liquid-Filled Rectangular Tank With Elastic Appendages Under Pitching Excitation

LÜ Jing; LI Jun-feng; WANG Tian-shu

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(3): 317-327

LÜ Jing, LI Jun-feng, WANG Tian-shu. Dynamic Response of a Liquid-Filled Rectangular Tank With Elastic Appendages Under Pitching Excitation[J]. Applied Mathematics and Mechanics, 2007, 28(3): 317-327.

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Dynamic Response of a Liquid-Filled Rectangular Tank With Elastic Appendages Under Pitching Excitation

School of Aerospace, Tsinghua University, Beijing 100084, P. R. China

Received Date: 2005-09-20
Rev Recd Date: 2006-12-30
Publish Date: 2007-03-15

Abstract

Abstract

Nonlinear dynamics of liquid-filled rectangular tank with elastic appendages are studied. Based on the assumption of the ideal fluid,the coupling dynamics equations of rigid tank,elastic appendages and liquid fuel were derived using H-O principle.In the case of pitch excitation,the modified potential function and wave height function were introduced to describe the moving boundary of fluid. Then Galerkin's method was used to discrete the dynamic equations into ordinary differential equations.The natural frequencies of the coupling system were formulated in liquid depth,the length of the tank,and etc.The formulae are confirmed by numerical simulation,which also show the effect of liquid and elastic appendages on the attitude angular of rigid.
- liquid-filled rectangular tank with elastic appendage,
- nonlinear dynamics,
- natural frequency,
- pitch

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References(22)

References

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