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本文提出了一种由结构元和流体元组成的杂交子结构模型,并将它用于求解船舶振动中水和结构的相互作用问题。与现今用有限元法分析流体-结构相互作用时会出现满矩阵的情形不同,此处得到的是相当好的带状矩阵。因而计算机时间和内存可大大节省,且可较容易地在微型或小型计算机上进行计算。文中给出了船梁振动和船体及其局部结构的耦合振动两个例题。算出了在真空内和在水上的固有频率和固有振型并将结果与惯用方法所得者进行比较。最后,提出一个估算本方法效率的近似公式。从所举例题可见,对于研究船体等链线结构的流体-结构相互作用问题,本方法的前景甚好。
In this paper, a hybrid substructure model consisting of structural elements and fluid elements is proposed and used to solve the water-structure interaction problem in ship vibration. Unlike the case where the full-matrix occurs when fluid-structure interactions are analyzed using the finite element method today, a fairly good strip matrix is obtained here. As a result, computer time and memory can be greatly saved, and calculations can be performed easily on mini or small computers. In this paper, two examples of the vibration of the ship’s girder and the coupled vibration of the hull and its local structure are given. The natural frequencies and natural mode shapes in vacuum and on water were calculated and the results were compared with those obtained by conventional methods. Finally, an approximate formula for estimating the efficiency of this method is proposed. As can be seen from the example, the prospects for this method are very good for the study of fluid-structure interactions of hulls and other chain structures.