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Stiffness Influence Coefficients for Non-axisymmetrical Loading on Closed Cylindrical Shells
S. H. Iyer
S. H. Simmonds
出版
Department of Civil Engineering, University of Alberta
, 1970
URL
http://books.google.com.hk/books?id=CWCLswEACAAJ&hl=&source=gbs_api
註釋
For cylindrical shells non-axisymmetrical loading is generally considered in the form of a periodic Fourier series. Since each term of the series must satisfy the boundary conditions, the solution is simplified by the use of stiffness coefficients. To permit a method of solution closely following the classical stiffness matrix method expressions for stiffness influence coefficients for all the harmonics of loading greater than zero are presented as general algebraic expressions in closed form. Two sets of expressions were obtained by introducing approximations into the classical theories. The range of applicability of these sets is given based on criteria involving the shell parameters and the harmonic number of the edge loading considered. A further simplification is possible for evaluating membrane stresses for very large values of the loading harmonic. The values of coefficients and the stress resultants obtained for two examples are compared with those obtained using Flugge's equations for these shells. It is concluded that the use of these coefficients constitute a practical procedure for the solution of these types of problems.