论文部分内容阅读
利用三维变分差分方法研究薄壳的动力分析。针对显式迭代格式最大稳定时间步长过小，而隐式迭代格式计算量大且精度不足这一问题，构造了一种半显式迭代格式（即关于厚度方向隐式、而关于其余两个方向显式），它的最大稳定时间步长较显式迭代格式有很大的提高，而计算量并未显著增加。算例的数值结果表明，这种半显式迭代格式具有较高的精度，它的时间步长满足计算薄壳波动问题的要求。
Dynamic Analysis of Thin Shell Using Three Dimensional Variational Difference Method. Aiming at the problem that the maximum stable time step of explicit iterative scheme is too small and the computational complexity of implicit iterative scheme is large and the accuracy is not enough, a semi-explicit iterative scheme is constructed (that is, implicit about the thickness direction, The direction of the explicit), its maximum stable time step than the explicit iteration format has greatly improved, and the amount of computation did not significantly increase. Numerical examples show that the semi-explicit iterative scheme has higher accuracy and its time step satisfies the requirement of calculating shell vibration.