The specific features of the limiting transition from a discrete elastic medium to a continuous one

被引:8
作者
Andrianov, IV
机构
来源
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2002年 / 66卷 / 02期
关键词
D O I
10.1016/S0021-8928(02)00032-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The question of the link between the motions of a discrete elastic medium and its averaged approximation is discussed. It is shown that, in the case of a proper definition of solutions within the framework continuum theory, the motion of a discrete chain of masses can be sufficiently accurately described on the basis of these solutions. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:261 / 265
页数:5
相关论文
共 18 条
[11]  
Manevich L, 1989, METHOD NORMAL OSCILL
[12]  
OBRAZTSOV IF, 1991, DOKL AKAD NAUK SSSR+, V319, P111
[13]  
SHOKIN YI, 1979, METHOD DIFFERENTIAL
[14]  
Ulam S. M., 1960, A Collection of Mathematical Problems
[15]  
Vakakis A. F., 2001, Normal Modes and Localization in Nonlinear Systems
[16]  
Van Dyke M., 1964, PERTURBATION METHODS
[17]  
VEDENOVA YG, 1983, ZH PRIKL MEKH TEKH, V6, P156
[18]  
ZHUKOVSKII NY, 1937, COLLECT WORKS, V8, P221