锚固式方型储液罐动力特性与基频解析解

DYNAMIC CHARACTERISTICS AND FUNDAMENTAL FREQUENCY ANALYTICAL SOLUTION OF ANCHORING SQUARE LIQUID STORAGE TANK

方型储罐具有对单侧装载不敏感、空间利用率更高等优点,因此方型储罐广泛应用于蓄水池和储存各类工业流体等实际工程中。但到目前为止,有关方型储罐基频解析解少有研究,文中利用ANSYS有限元分析软件,考虑罐-液耦合相互作用,建立了3000m^(3)的敞口锚固式方型储罐有限元模型,获得模型前八阶固有频率及振型,明确壁厚、储液高度、宽高比等因素对模型固有频率及振型的影响规律,结果表明随着罐壁与底板厚度的增加,储罐结构自振频率逐渐增大,随着宽高比的增大,储罐结构自振频率也逐渐增大,而随着储液液面高度的增加,储罐自振频率却逐渐降低,储液高度与罐-液耦合振动频率负相关。最后,基于有限元数值解统计回归出基频解析解计算表达式,为进一步开展方型储罐抗震性能分析奠定基础。

Square storage tanks are insensitive to unilateral loading and has the advantage of higher utilization rate,square storage tanks are therefore widely used in the reservoir and the storage of various industrial fluids in practical engineering.But so far,the relevant fundamental frequency analytical solution of anchoring square liquid storage tank has not been reported.Herein,a 3000 m^(3) open anchored square storage tanks model was established considering the tank-liquid coupling interaction,and the first eight-order natural frequencies and vibration modes of the model were obtained by using ANSYS finite element analysis software.The influence law of wall thickness,liquid storage height,and aspect ratio on the natural frequency and mode shape of the model under static state were also obtained.The results show that the natural frequencies of the structure gradually increase with the increase of the thickness of the tank wall and the bottom plate.The natural frequencies of vibration increase gradually with the increase of aspect ratio,and natural frequencies of storage tank gradually reduce with the increase of liquid storing liquid level height.The liquid storage height is negatively related to the tank-liquid coupling vibration frequency.Finally,based on the statistical regression of the finite element numerical solution,the expression of the fundamental frequency analytical solution is obtained,which lays a foundation for further analysis of the seismic performance of the rectangular storage tank.