变厚圆板弯曲问题中的正则多项式

Q4 Mathematics

Researches in Mathematics Pub Date : 2021-10-06 DOI:10.15421/247725

O. Bugrim, Ye.S. Sinaiskii

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引用次数: 0

摘要

将选定的刚度变化规律下变厚圆板的弯曲问题简化为多项式型变系数常微分方程。利用典型多项式和Lantzosh的$\tau$-方法实现了满足边界条件的方程近似解的构造。

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Canonical polynomials in the problem about the bend of circular plate of variable thickness

The problem about the bend of circular plate of variable thickness under specifically selected laws of rigidity change is reduced to the ordinary differential equation with variable coefficients of polynomial kind. The construction of the approximate solution of equation that satisfies boundary conditions is realized by means of canonical polynomials and $\tau$-method of Lantzosh.

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来源期刊

Researches in Mathematics

CiteScore

0.50

自引率

0.00%

发文量

审稿时长

16 weeks