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以4个矢跨比(1/3、1/4、1/5、1/6)的双层凯威特型球面网壳为研究对象,重点考察了网壳结构的可靠度、敏感性和相关性随荷载等级提高的变化规律。为了深入研究外荷载、杆件的物理属性和几何参数的随机性分别对网壳结构可靠度的影响程度,根据随机变量类型,分别将杆件的横截面面积、弹性模量和屈服强度定义为一个随机变量,继而研究了功能函数对各类型随机变量的敏感性程度;为了全面深入地探讨网壳结构在各等级荷载作用下的受力性能,定义了4种类型的功能函数,包括最大挠度、总塑性应变能、屈服杆件数目和总塑性应变,考察了4种类型功能函数对各随机变量的敏感性程度及功能函数间的相关性;最后,研究了各随机变量敏感性随不同矢跨比的变化规律。
Taking 4 kayweed type spherical reticulated shells with quarter-span ratio (1/3, 1/4, 1/5, 1/6) as the research object, the reliability, sensitivity and Correlation with the load level increases the law of change. In order to further study the degree of influence of the external load, the physical properties of the rod and the randomness of geometric parameters on the reliability of the reticulated shell structure, the cross-sectional area, elastic modulus and yield strength of the rod are defined as A random variable, and then the degree of sensitivity of the functional function to various types of random variables is studied. In order to comprehensively and deeply investigate the mechanical behavior of the reticulated shell under various levels of loads, four types of functional functions are defined, including the maximum deflection , The total plastic strain energy, the number of yielding rods and the total plastic strain, the sensitivity of the four types of functional functions to the random variables and the correlation between the functional functions were investigated. Finally, the sensitivity of each random variable with different vectors Cross-ratio changes.