Large elastic deflections of bars based on nonlocal elasticity

被引:12
作者
Guclu, Gokhan [1 ]
Artan, Reha [2 ]
机构
[1] Dumlupmar Univ, Dept Civil Engn, Kutahya, Turkey
[2] Istanbul Tech Univ, Dept Civil Engn, Istanbul, Turkey
来源
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2020年 / 100卷 / 04期
关键词
large elastic deflections; nanobars; nonlocal elasticity; perturbation method; small scale effect; CONTINUUM-MECHANICS; BEAM THEORY; VIBRATION;
D O I
10.1002/zamm.201900108
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this study, large elastic deflections of beams have been investigated using the theory of nonlocal elasticity. Fundamental equations have been derived for large elastic deflections and small strains in the frame of nonlocal elasticity and the solution has been made by the perturbation method. It has been observed that the difference between large elastic local and non-local deflections and moments grows significantly as the gamma/L ratio increases (gamma is nonlocality parameter, L is length of beam).
引用
收藏
页数:17
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