Considering rigid-liquid-flexible coupling effect, dynamic formulation for a two-dimensional rectangular
tank with liquid sloshing connected to a flexible beam is proposed. Differing from the traditional formulation
which considered either the rotational motion or the translational motion of the tank, this formulation can be
applied for rigid-liquid-flexible coupling dynamic analysis of tank undergoing translational and rotational motion
based on the theorem of momentum and the theorem of moment of momentum. Furthermore, stiffening terms
are included in the dynamics equations of the flexible beam. Firstly, the dynamic equations of the rigid-liquid
coupling system and the flexible beam are derived, respectively, and then by introducing the Lagrange-multipliers,
the rigid-liquid-flexible coupling equations can be combined with acceleration constraint equations. Finally, the
mix differential-algebraic equations are solved to investigate the rigid-liquid-flexible coupling dynamic performance
of the system.
FAN Wei (樊 伟), LIU Jin-yang* (刘锦阳)
. Rigid-Liquid-Flexible Dynamic Formulation for a Two-Dimensional Tank Undergoing Translational and Rotational Motion[J]. Journal of Shanghai Jiaotong University(Science), 2014
, 19(2)
: 233
-240
.
DOI: 10.1007/s12204-014-1494-6
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