Stress analytical solution for plane problem of a double-layered thick-walled cylinder subjected to a type of non-uniform distributed pressure

The stress state around circular openings,such as boreholes,shafts,and tunnels,is usually needed to be evaluated.Solutions for stresses,strains and ultimate bearing capacities of pressurized hollow cylinder are common cases.Stress analytical method for plane problem of a double-layered thick-walled cylinder subjected to a type of non-uniform pressure on the outer surface and uniform radial pressure on the inner surface is given.The power series method of complex function is used.The stress analytical solution is obtained with the assumption that two layers of a cylinder are fully contacted.The distributions of normal and tangential contact stress along the interface,tangential stress on the inner boundary and stresses in the radial direction at θ=0°,45° and 90°,are obtained.An example indicates that,when the elastic modulus of the inner layer of a double-layered thick-walled cylinder is smaller than that of the outer layer,the tangential stress is smaller than that in the corresponding point for a traditional cylinder composed of homogeneous materials.In that way,stress concentration at the inner surface can be alleviated and the stress distribution is more uniform.This is a capable way to enhance the elastic ultimate bearing capacity of thick-walled cylinder.

基于FLUENT的导流隧洞水力特性模拟

针对传统的二维导流隧洞水力学计算,采用CFD方法对导流隧洞的水力特性进行了三维数值模拟,通过导流隧洞各典型断面总水头与传统公式、模型试验计算结果的比较,验证了三维数值模拟的准确性,进而可通过数值模拟对导流隧洞的三维流场进行分析研究。文中对导流隧洞各典型断面及整体进行了流态分析和出口负压分析,结果显示导流隧洞满足设计要求。可见,流体力学计算方法能够有效地模拟导流隧洞水流的流态,可应用于导流隧洞的设计与优化工作。