A Theory for the Small Deformations of Cylindrical Shells Part I Rotationally
A Theory for the Small Deformations of Cylindrical Shells Part I Rotationally
Edward L Reiss
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In the preceedlng sections \:e described a netliod of obtaining fro^a the exact theory systeras of differential 29 equations and ntress displrceraent relation.^ vhose solutions systematically aoproicir. Iate the stresccs In the cylinder. Two tyoes of e::pansions in terras of e, are employed: The first of these, the Interior expansion, provides approximations of the stresses in the interior of the shell; while the second, the boundary layer expansion, yields a description of the stresses near th...e ed^e. Appropriate boundary conditions for the dif- ferential equations that result from the interior expansions are deduced from properties of the boundary layer expansions. V'e now sui'imarize the results of Sections 3, If. And 5 to define a, ''thick shell theory of order N". Let the stresses of th the H order thick shell theory, represented by the ce^O-ric ( F ) symbol, '^ (?, ?, £), be defined as, where cr and F are, respectively, the interior and reduced boundary layer stress coefficients.
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