Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volume 9, Part 5American Society of Mechanical Engineers, 1990 - Arctic regions |
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Page 37
... equation ( 14 ) Sander's nonlinear shell equations ( 1963 ) were used . The linearized strain - displacement equations required in ( 14 ) are given by : Ērz II Ēee - = = 1 1 + k Ro cos glũ , x 1 - UK sin 0 + wк cos 0 ] , − [ ~ + ŵ ] + ...
... equation ( 14 ) Sander's nonlinear shell equations ( 1963 ) were used . The linearized strain - displacement equations required in ( 14 ) are given by : Ērz II Ēee - = = 1 1 + k Ro cos glũ , x 1 - UK sin 0 + wк cos 0 ] , − [ ~ + ŵ ] + ...
Page 100
... equation [ 10 ] AV1 = 2 Au R ! L The equilibrium equations for the layer are found by equating the first variation of the internal and external work so that δυ = SW ( 8 ) A ' = C , R ' + C2 R ' These equations are written in matrix form ...
... equation [ 10 ] AV1 = 2 Au R ! L The equilibrium equations for the layer are found by equating the first variation of the internal and external work so that δυ = SW ( 8 ) A ' = C , R ' + C2 R ' These equations are written in matrix form ...
Page 101
... equations developed in [ 9 ] may be applied and material constants are more readily obtained . Thin Isotropic / Orthotropic Tube Layers The development of equilibrium equations for thin isotropic and orthotropic tubes is similar to that ...
... equations developed in [ 9 ] may be applied and material constants are more readily obtained . Thin Isotropic / Orthotropic Tube Layers The development of equilibrium equations for thin isotropic and orthotropic tubes is similar to that ...
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addition analysis applied approach assessment assumed bending calculations caused considered CONTINUE corrosion crack damage deformation depth described diameter direction displacement distribution effect energy Engineering ensemble equations factors failure field Figure flow force fracture function given hole included increase initial installation internal layer length limit load material maximum mean measured mechanical method mode movement obtained occurred Offshore operation parameters pipe pipeline plastic plate platform position predicted presented pressure probability problem procedure properties radial range reduced relative reliability resistance response safety scaling scour seabed shown shows simulated soil solution span stability steel strain strength stress structure subsea surface Table term thickness toughness tracers tube uncertainty values valve variables wall wave weight weld