Dynamic Response and Dynamic Buckling of Complex Shells with Random Imperfections

薄壳结构被广泛应用于冷却塔、烟囱、储罐、压力容器、穹顶和吊架。然而，这种结构的几何缺陷会对结构的屈曲和振动行为产生很大的影响，特别是在地震条件下。该项目发展了理论方法来研究薄壳结构在存在随机初始缺陷时的非线性动力响应行为，初始缺陷表示为零均值、高斯、均匀随机过程。由此产生的随机响应在几何上是非线性的，这取决于载荷的大小和初始缺陷的均方根值。研究了缺陷参数的影响，确定了这些参数的公差限值。

Thin-shell structures are widely used for cooling towers, chimneys, storage tanks, pressure vessels, domes and hangers. However, geometrical imperfection of such construction can greatly influence the buckling and vibrational behaviors, particularly during the earthquake conditions. Theoretical methods are developed in this project to study the non-linear dynamic response behavior of thin-shell structures in the presence of random initial imperfections which are represented as zero-mean, Gaussian, homogeneous random processes. The resulting random responses are geometrically non-linear depending upon the magnitude of the load and the root-mean-square value of the initial imperfections. The effect of imperfection parameters are studied to set the tolerance limit for these parameters.