多层柱壳容器弹塑性动态结构响应和优化研究

Dynamic Structural Response and Optimization Analysis of Elastic-plastic Multi-layered Cylinder Shell Vessel under blast Loading

在轴对称平面应变条件下,对多层柱壳的静态载荷弹塑性响应和单层柱壳的动态载荷弹性响应进行了理论分析和优化研究。在多层柱壳的静态载荷弹塑性响应中,建立了求解多层柱壳的静态载荷弹塑性响应,并对多层的静态载荷响应问题进行了初步的优化。对单层柱壳动态载荷的位移分布进行了理论求解,利用微分方程变换理论,得到了柱壳位移级数解。以此为基础,开展了多层柱壳容器结构响应行为的数值模拟,验证了理论计算结果,同时改变各层柱壳厚度和间隙,进行了优化分析,给出了较为合理的厚度和间隙尺寸。

The elastic-plastic response of multi-layered cylinder shell vessel to static loading and dynamic blast loading in the conditions of axisymmetrical plane strain is studied. A general equation for resolving the elastic-plastic response of multi-layered cylinder shell vessel under static loading is derived. Furthermore,the structure optimization is also discussed. The displacement series solution of cylinder shell is found by using differential equation transformation theory. The structural response behaviors of multi-layered cylinder shell vessel under blast loading are analyzed and simulated. A number of optimization designs are discussed,such as the optimization on the thickness distribution and interstitial space distribution about three-layered cylindrical explosion containment vessel. A reasonable optimization design is obtained about the thickness distribution and the interstitial space distribution.