用有限元法计算船体总振动时刚度阵奇异处理分析

Analysis of Dealing with the Singularity of Stiffness Matrix when Computing the General Vibration of Ship Hull by Using FiniteElement Method

采用考虑剪切滞后影响的一维有限元梁模型计算船体总振动固有频率和振型。特征值解法中常采用两种方法消除刚度阵的奇异性,即移轴法和加附加弹簧法,但对移轴量和附加刚性系数选择上尚存在盲目性,为了供计算参考,本文给出了其适用的范围.并用一条实船作为算例,与其它算法进行了比较分析,表明文中的方法具有一定的计算参考价值。

In the computation of general vibration of a ship's hull,the hull is simplified as a one dimensional finite element model,the shear retardation is taking into account,In the calculation of eigenvalue,some methods are used to eliminate the singularity of stiffness matrix and a proper range is proposed.By using the method as described in this paper to calculate the general vibration of a real ship,the result indicates that this method has more computational reference value as compared with other methods.