分区样条等参元方法分析加肋轴对称组合壳

Sub region isoparametric spline element analysis of strength and stability of ring stiffened combined shell of revolution

本文提出分区样条等参元方法分析加肋轴对称组合壳在静水外压作用下的应力及稳定性。该方法根据母线几何形状、壳板厚度变化及边界约束状况将加肋轴对称组合壳划分为若干个区域，在不同区域采用不同步长的样条等参元进行分析，因而便于对复杂的组合壳进行分析，并可大大减少计算所需自由度数，减少计算工作量，同时计算精度很高，并且易于进行边界约束处理。应用该方法对加肋锥－柱、加肋锥－环－柱组合壳进行了计算，其结果与其它方法计算值及实验值吻合良好。

\ A sub region isoparametric spline element method is presented for the stress and stability analysis of ring stiffened combined shell of revolution. According to geometry of the meridian, difference in shell thickness and boundary conditions, the ring stiffened combined shell of revolution is divided into several sub regions, different region is analyzed by isoparametric spline element with different step length, so the number of degrees of freedom is small, the computing accuracy is high, furthermore, the boundary conditions may be easily dealt with. For ring stiffened cone cylinder, cone toroid cylinder combined shell, the computing results are in good agreements with other computing results as well as experimental results.