| 摘 要： | In this paper,the method of composite expansions which was proposed by W.Z.Chien(1948)is extended to investigate two-parameter boundary layer problems.For the problems of symmetric deformations of the spherical shells under the action of uniformly distribution load q,its nonlinear equilibrium equations can be written as follows:where εand δare undetermined parameters.If δ=1 and εis a small parameter,the above-mentioned problem is called first boundary layer problem;if εis a small parameter,and δis a small parameter,too,the above-mentioned problem is called second boundary layer problem.For the above-mentioned problems,however,we assume that the constants ε,δand p satisfy the following equation:In defining this condition by using the extended method of composite expansions,we find the asymptotic solution of the above-mentioned problems with the clamped boundary conditions.
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