Transactions of the Architectural Institute of Japan
Online ISSN : 2433-0027
Print ISSN : 0387-1185
ISSN-L : 0387-1185
THE NONLINEAR THEORY OF THIN ELASTIC SHELLS UNDER THE KIRCHHOFF-LOVE HYPOTHESES : PART II. Application to shallow shells, cylindrical, spherical, conical and torus shells
NOBUYOSHI TOSAKAYOSHIKATSU TSUBOI
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1976 Volume 239 Pages 43-54

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Abstract
In this paper, continuously part I, we attempt the application to the concretely represented shells with our general nonlinear theories which were constucted and developed at part I. The rigorous fundamental equations and those approximated ones for shallow shells (especially with surfaces of the second order), cylindrical spherical, conical and torus shells are derived in section 2, 3, 4 and 6, respectively. The resulting equilibrium equations for cylindrical and spherical are carefully compared with Love-Timoshenko's equations and examined those in detail. The appropriate constitutive equations are showed in each section. The lowest order shell equations, which are the simplest approximate nonlinear fundamental equations, are formulated for each shells by the reason that they play an important part in nonlinear analysis.
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© 1976 Architectural Institute of Japan
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