The Analysis on Elastic and Plastic Stability of Cylindrical Shells
|School||Wuhan University of Technology|
|Keywords||Cylindrical shell Plastic buckling Numerical integration methods|
This paper first introduces the main research direction of the shell stability theory on the progress of research in the field of plastic stable . Were established to the enhanced J 2 flow theory and J 2 deformation theory to make a comparison of these two theories . Expand incremental stress-strain relationship of the two theories for the matrix expression , formally the same expression of different content , in order to compare . The cylindrical shell is most commonly used in the engineering the housing structure relative to the general casing , the structure is relatively simple, geometric equations formally can be greatly simplified . Buckling of cylindrical shell occupies an important position in the structural stability theory , in a sense , the cylindrical shell buckling problem to promote the establishment and development of the theory of structural stability . In this paper, we consider nonlinear large deflection of the cylindrical shell buckling problem , the basic equation including geometric equations , equilibrium equations , and these two constitutive model . The linearized buckling process , consider buckling and plastic buckling control equation . The problem is simplified to the symmetrical axis . Formally simplified buckling control equation . Relatively simple boundary conditions , the numerical solution of axisymmetric buckling problem . Iterative algorithm , variable coefficient differential equation into constant coefficient equations Galerkin method for solving eigenvalue of Differential Equations , and ultimately get the initial buckling critical stress . This paper numerical results were compared with experimental results and analysis . Finally, made ??a summary and analysis of the scope of application of the present theory and research methods , and prospected the plastic buckling direction and prospects .