Dissertation > Mathematical sciences and chemical > Mechanics > Vibration theory > Structural vibration

The Analysis on Elastic and Plastic Stability of Cylindrical Shells

Author HuangZuo
Tutor LvYunBing
School Wuhan University of Technology
Course Engineering Mechanics
Keywords Cylindrical shell Plastic buckling Numerical integration methods
CLC O327
Type Master's thesis
Year 2002
Downloads 373
Quotes 2
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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 .

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