中文摘要：

网壳结构的挠度与多种因素有关,对不同几何因素的敏感性也有差异.实际结构中,杆件截面规格和几何尺寸由于材料制造和施工安装的原因,存在与设计不完全相符的随机误差,这些随机误差对结构刚度的影响通常难以确定.基于可靠度原理及有限元方法,对单层网壳结构进行了挠度敏感性因素分析并编制了Matlab程序.通过对一个K8型单层网壳几何因素,如跨度、矢高、杆件壁厚和初始几何缺陷等的挠度可靠度对比分析,得出了杆件壁厚为决定挠度主要因素的结论,并从随机变量敏感度和变量统计特征两方面,得出了矢高较跨度对变形可靠度指标影响更为敏感的结论.

英文摘要：

The deformation of shell structure is related to various factors, and the sensitivity of different geometric parameter on deformation is also different. There are random errors existing in practical engineering applications. The cross-section specifications of elements and the geometric size do not always coincide exactly with the design requirements due to material manufactures and constructional assembly. The influences arisen from these randon errors on the structural stiffness are usually difficult to be determined. Based on the principles of reliability and finite element method, the deformation sensitivity factors of the single layer latticed shell structure are investigated and related program is developed by Matlab. Taking a K-8 p single layer latticed shell as an example, the deformation reliability indices of several geometric factors, such as span, vector height, wall thickness of members and initial geometric imperfections, are obtained and compared. The results show that the wall thickness of members plays significant role with respect to the deformation. Further more, the sensitivity analyses for both random variables and their statistical characteristics uniformly show that the vector height is more sensitive to the reliability index of deformation than that of the span.