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- W81401432 abstract "In this paper, we deduce the governing equations of an elastic thin shallow shell to be a Poisson equation of order two and a two fold Helmholtz equation of order four in partial differential equations, then we obtain the solutions of them directly from the corresponding partial differential equations’ solutions. This method is very convenient in use for the case of round bottom shells, as for rectangular bottom ones, we introduce another simple approach, i.e. to lower the orders of governing equation in complex variable form. Although we discuss only spherical shell, yet it is the 1st asymptotic solutions of any other thin shallow shells with positive constant curvature such as elpar shell, elliptic shell, etc." @default.
- W81401432 created "2016-06-24" @default.
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- W81401432 date "1987-01-01" @default.
- W81401432 modified "2023-09-23" @default.
- W81401432 title "Direct Integration of Elastic Thin Shallow Shell’s Governing Equations and Lower Order Method" @default.
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- W81401432 doi "https://doi.org/10.1007/978-3-642-83015-0_4" @default.
- W81401432 hasPublicationYear "1987" @default.
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