타이틀 |
Nondimensional Parameters and Equations for Nonlinear and Bifurcation Analyses of Thin Anisotropic Quasi-Shallow Shells |
저자 |
Nemeth, Michael P. |
Keyword |
ANISOTROPIC SHELLS;; BUCKLING;; COMPATIBILITY;; COORDINATES;; CURVATURE;; LAMINATES;; NONLINEAR EQUATIONS;; SHALLOW SHELLS;; STABILITY;; THIN WALLED SHELLS |
URL |
http://hdl.handle.net/2060/20100027403 |
보고서번호 |
NASA/TP-2010-216726 |
발행년도 |
2010 |
출처 |
NTRS (NASA Technical Report Server) |
ABSTRACT |
A comprehensive development of nondimensional parameters and equations for nonlinear and bifurcations analyses of quasi-shallow shells, based on the Donnell-Mushtari-Vlasov theory for thin anisotropic shells, is presented. A complete set of field equations for geometrically imperfect shells is presented in terms general of lines-of-curvature coordinates. A systematic nondimensionalization of these equations is developed, several new nondimensional parameters are defined, and a comprehensive stress-function formulation is presented that includes variational principles for equilibrium and compatibility. Bifurcation analysis is applied to the nondimensional nonlinear field equations and a comprehensive set of bifurcation equations are presented. An extensive collection of tables and figures are presented that show the effects of lamina material properties and stacking sequence on the nondimensional parameters. |