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).
机构:
Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China
Yu, Y. Jun
Tian, Xiao-Geng
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机构:
Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China
Tian, Xiao-Geng
Xiong, Qi-Lin
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机构:
Huazhong Univ Sci & Technol, Dept Civil Engn & Mech, 1037 Luoyu Rd, Wuhan 430074, Peoples R ChinaXi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China