关于具有大参数a2/R0h的r>0等厚圆环薄壳轴对称问题的二次渐近解
On Second Order Asymptotic Solutions of Axial Symmetrical Problems of r>0 Thin Uniform Circular Toroidal Shells with a Large Parameter a2/R0h
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摘要: 在这篇文章中,根据Love-Kirchhoff假设的薄壳理论,导出了r>0等厚圆环薄壳力矩理论轴对称问题的基本方程.对具有大参数a2/R0h的r>0等厚圆环薄壳,给出了二次渐近解.本文也给出了当边缘远离圆环薄壳顶点时的边缘问题的二次渐近解.它们的误差都是在Love-Kirchhoff假设的薄壳理论的允许误差范围之内.Abstract: According to the classital shell theory based on the Love-Kirchhoff assumptions, the basic differential equations for the axial symmetrical problems of r>0 thin uniform circular toroidal shells in bending are derived, and the second order asymptotic solutions are given for r>0 thin uniform circular toroidal shells with a large parameter a2/R0h.In the resent paper, the second order asymptotic solutions of the edge problems far from the apex of toroidal shells are given, too. Their errors are within the margins allowed in the classical theory based on the Love-Kirchhoff assumptions.
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