Approximated-asymptotic solution of the complex variable equation of toroidal shells under axial symmetric loads |
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Authors: | Zhenhui Wu Hongbin Zhao Zhupei Shen |
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Institution: | (1) Tsinghua University, Beijing, China |
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Abstract: | The series-approach and the asymptotic-approach are usually used to solve the complex variable equation of the toroidal shells
under axial symmetric loads. As is known, the convergence of the series-solution is good only for small values of
. On the other hand, the convergence of the asymptotic solution is good only for large values of μ. In this paper, based on
an earlier work1], a new approach which may be called the approximated-asymptotic solution has been developed and it is valid for both small
and large values of μ. It is shown that the results of the approximated-asymptotic solution for toroidal shell with μ=0.5
coincide very well with those of the series-solution, while the results of the asymptotic solution for this value of μ are
not as good, and the results of the approximated-asymptotic solution for μ=15 agree with those of the asymptotic solution.
This work has been carried out under the direction of Professor Zhang Wei. |
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Keywords: | approximated-asymptotic solution complex variable equation axial symmetric load |
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