采用矩阵分块方法的充液箱自由振动分析

针对部分充液箱体振动情况，采用矩阵分块的方法，对位移压力形式的耦合方程进行修改，使结构单元节点在交界面处满足相容性要求，结构和流体在耦合界面完成信息的传递。针对双层底液箱，编制有限元程序，求解出充液箱的频率和振型，通过与ANSYS数值结果进行比较，吻合良好，验证了方法的可用性。同时为采用位移速度势等其它形式的方程进一步研究充液箱体的振动提供了基础。

Free Vibration Analysis of Liquid Tank Using Matrix Blocking Method

For the partial filled liquid tank vibration, the displacement-pressure coupled equations are modified by matrix blocking technologies, which enforce the interaction compatibility conditions of structure nodes and message transfer on coupled face between structure and liquid. The FEM codes are also developed to compute the liquid tank’s frequencies and modes based on the coupled equation. By comparing with ANSYS numerical results, the proposed method is verified. It is meaningful for studying the liquid tank’s vibration further by using displacement-displacement potential equations or other form equations.