To investigate the dynamic characteristics of a rectangular tank with decreasing mass(fuel consumption)
a numerical approach is proposed to model and simulate the fluid-structure coupling system based on PATRAN-NASTRAN-MATLAB. Virtual mass method is utilized to simplify the model and to construct the finite element model
then free vibration states of the variable mass system are mainly analyzed. The displacement responses and frequency responses of the time varying mass system are obtained by using a PATRAN-NASTRAN-MATLAB program. Considering the deficiency of Fourier transformation
Choi-Williams transformation is adopted to process the non-stationary vibration signals of the time varying mass system. It indicates that the decrease in the mass of the system induces an increase in the vibration frequency of the system and generates an additional negative damping to slow up the vibration decay. The additional negative damping is proportional to the rate of mass variation
and it will result in larger vibration amplitude of the system if it plays a dominant role over the structural damping. Especially
once the increasing amplitude exceeds the elastic range
the tank structure may be damaged.
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references
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