Abstract
If a plate solution is known which has the same boundary and loading conditions with a shallow shell, the solution of that shell can be reduced to a non-homogeneous Helmholtz's equation in complex domain. Two examples are given to illustrate our method.
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References
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Communicated by Chien, Wei-zang.
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Jia-shen, F. To solve the shallow shell equations with the help of the plate's equation solution (lowering the order of partial differential equation from 8 to 2). Appl Math Mech 7, 877–886 (1986). https://doi.org/10.1007/BF01898129
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DOI: https://doi.org/10.1007/BF01898129