Deflection Solutions for Concentrated Force on Spherical Shell

摘要

The deflection solution of concentrated loads on spherical thin shell has already been widely studied. The solution for a concentrated normal force was first obtained by E.Reissner in 1946 by using the classical theory of shallow shells. This problem was also considered by S.P.Timoshenko(1946), Stanislaw Lukasiewicz(1979), W.T.Koiter(1963), W.C.Young (1989) etc. In deriving these solutions, it is assumed that the stresses and displacements are very small at some distance from the loading point. In this paper, the displacement of non-shallow spherical thin shell under a concentrated load has been considered. Through apply the above all kinds of methods, we have calculated the deflections under the point of application of concentrated loads on spherical thin shells with R/t=10～50 and R/t=100～500. The results are analyzed and all kinds of methods are compared, the calculation precisions and covering ranges of all kinds of methods are discussed.