The Membrane Shell as an Underconstrained Structural System

1989 ◽  
Vol 56 (2) ◽  
pp. 387-390 ◽  
Author(s):  
E. N. Kuznetsov
Keyword(s):  
Cross Section ◽  
Arbitrary Cross Section ◽  
Structural Behavior ◽  
Structural System ◽  
Membrane Theory ◽  
Apparent Paradox ◽  
Membrane Shell ◽  
Membrane Shells ◽  
New Perspective ◽  
Peculiar Behavior

Statical-kinematic analysis is employed to provide a new perspective on the structural behavior of membrane shells and the related limitations of the linear membrane theory. The obtained results include a resolution of an apparent paradox in the statics of membranes, a description and explanation of the peculiar behavior of toroidal membranes with an arbitrary cross-section, and a stronger version of a central theorem in the membrane theory.

Membrane Theory for Layered Ellipsoidal Shells

1983 ◽  
Vol 105 (4) ◽  
pp. 356-362 ◽  
Author(s):  
D. L. Logan ◽  
M. Hourani
Keyword(s):  
Elastic Behavior ◽  
Pressure Loading ◽  
Membrane Theory ◽  
Shells Of Revolution ◽  
Ellipsoidal Shell ◽  
Closed Form Solutions ◽  
Membrane Shell ◽  
Epoxy Material ◽  
Specific Geometry ◽  
Membrane Shells

The stress analysis of a laminated anisotropic ellipsoidal membrane shell of revolution is considered. A system of equations which is appropriate to the elastic behavior of anisotropic membrane shells of revolution is used as a basis. These equations are applied to the specific geometry of an ellipsoidal shell to develop the particular equations used in the analysis. Closed-form solutions are derived for the stresses and displacements. Methods for determining the extremely cumbersome integrals in the equations for the displacements are discussed as well. To illustrate the equations, solutions are presented for an ellipsoidal shell simply supported on one edge and subjected to internal pressure loading. Numerical results are presented for glass-epoxy and boron-epoxy material systems.

Computation of waveguide modes for waveguides of arbitrary cross-section

1990 ◽  
Vol 137 (2) ◽  
pp. 145 ◽  
Author(s):  
C.Y. Kim ◽  
S.D. Yu ◽  
R.F. Harrington ◽  
J.W. Ra ◽  
S.Y. Lee
Keyword(s):  
Cross Section ◽  
Arbitrary Cross Section ◽  
Waveguide Modes
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