Study On Nonlinear Stability Of Double-deck Cylindrical And Double-deck Hyperbolic Parabolic Reticulated Shells

This dissertation focuses on two points:(1) The study of the stability of double-deck cylindrical reticulated shell under wind pressure;(2) The analysis on nonlinear buckling of double-deck hyperbolic parabolic reticulated shell under the uniform pressure. It consists of five chapters as follows:In Chapter One, the features of reticulated shell structures, the application of reticulated shell structures on engineering-projects and the research approaches on reticulated shell structures are introduced in details. It reviews the main study on the reticulated shell structure done by domestic and foreign scholars.In Chapter Two, based on continuum method, the double-deck reticulated shell structure is treated as sandwich shell and basic equations for the nonlinear stability of double-deck reticulated shell structures under the proportionally spaced load are developed.In Chapter Three, the nonlinear stability of double-deck cylindrical reticulated shell under wind pressure is analyzed. The wind pressure is treated as statically spaced load, which changes according to the different heights of cylindrical reticulated shell. The governing equation for the nonlinear stability of double-deck cylindrical reticulated shell under wind pressure is solved by Galerkin's method and the characteristic relational expression between the basic wind pressure and the biggest deflection of shell is obtained. The extremum buckling principle is employed to determine basic critical wind pressure. The influences of the structural geometric parameter on critical wind pressure are discussed as well.In Chapter Four, the nonlinear stability of double-deck hyperbolic parabolic reticulated shell under uniform pressure is discussed. The single model analyses on the double-deck hyperbolic parabolic reticulated shell is performed by Galerkin's method and the characteristic relational expression between the uniform pressure and the center deflection of reticulated shell is obtained. The critical pressure of reticulated shell structure in destabilization is determined by using extreme buckling principle. In Chapter Five, the whole dissertation is summarized and some useful conclusions are obtained. The further investigations about this problem are prospected.