We present a method for analytic stress evaluation in elliptic and oval tubes based on approximate conformal mappings from annuli onto oval and elliptical doubly connected domains. The approximate conformal mapping is realized by the boundary reparametrization method. We also solve two elasticity problems for such tubes.

中文翻译：

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非圆形管的近似共形映射和弹性问题

我们提出了一种基于椭圆和椭圆形双重连接域的近似共形映射的椭圆形和椭圆形管中的应力分析方法。近似共形映射是通过边界重新参数化方法实现的。我们还解决了此类管的两个弹性问题。