Abstract
The free-parameter perturbation method is applied to solve the problems of nonlinear stability of spehrical shallow shells under uniform load. As a modified perturbation method, the free-parameter perturbation method enables researchers to obtain all characteristic relations without choosing the certain perturbation parameter. Some examples were discussed to study the variety regulations of deflections and stress of shells in the process of buckling, and the results were compared with those of other researchers.
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Contributed by CHEN Shang-lin
Biography: CHEN Shan-lin (1942≈)
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Shan-lin, C., Qi-zhong, L. Free-parameter perturbation-method solutions of the nonlinear stability of shallow spherical shells. Appl Math Mech 25, 963–970 (2004). https://doi.org/10.1007/BF02438344
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DOI: https://doi.org/10.1007/BF02438344