Application of Chebyshev Polynomials to the Theory of Thin Bodies

被引：4
|
作者：
Nikabadze, M. U. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Leninskie Gory, Moscow 119899, Russia
来源：
MOSCOW UNIVERSITY MECHANICS BULLETIN | 2007年 / 62卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
Chebyshev polynomials;
D O I：
10.3103/S0027133007050056
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The application of shifted Chebyshev polynomials of the second kind to the construction of the thin-body theory is considered. Some basic and additional recurrence relations for Chebyshev polynomials are given. Arbitrary-order moments are obtained for the first and second derivatives of a tensor field and for some expressions. Several equations of motion expressed in terms of the moments of displacement and rotation vectors are derived for the moment theory; a number of constitutive relations of the zeroth approximation are obtained.
引用
收藏
页码：141 / 148
页数：8
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