Parameter design of a liquid-filled sloshing system
Zhong Shun (钟顺)a c, Chen Yu-Shu (陈予恕)b c
a School of Civil Engineering, Tianjin University, Tianjin 300072, China; b School of Mechanical Engineering, Tianjin University, Tianjin 300072, China; c Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, China
Abstract The nonlinear governing equations of the liquid sloshing modals in cylindrical storage tank are established. Through analytical analysis, the analytical expressions of the solutions of this kind of system are obtained. With different parameters, the dynamical behaviours of the solutions are different from the trivial ones. To prevent system instability, two selection principles that the stiffness equations are positive-definite and the nonlinear terms of the system are not regenerative elements are given. Meanwhile, numerical simulations are also given, which confirm the analytical results.
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10632040) and the Independent Innovation Foundation of Tianjin University.
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