A SIZE-DEPENDENT MODEL FOR WAVE PROPAGATION IN TIMOSHENKO NANOBEAM

被引:0
|
作者
Liang, Bin-bin [1 ]
Zhang, Long [1 ]
Wang, Bing-lei [1 ,2 ]
机构
[1] Shandong Univ, Dept Engn Mech, Jinan 250061, Peoples R China
[2] Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Sch Aerosp, Xian 710049, Peoples R China
来源
2014 SYMPOSIUM ON PIEZOELECTRICITY, ACOUSTIC WAVES, AND DEVICE APPLICATIONS (SPAWDA) | 2014年
关键词
Wave propagation; Size-dependent; Timoshenko nanobeam; Strain gradient elasticity theory;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
By incorporating the strain gradient elasticity into the Timoshenko nanobeam, a size-dependent model for wave propagation in such nanobeam is developed. The formulations of dispersion relation are explicitly derived for strain gradient nanobeam and presented for different material length scale parameters (MLSPs). The size-dependent characteristics of wave propagation in Timoshenko nanobeam are then studied. The results show that the angular frequency, phase velocity and group velocity increase with increasing wave number. However, the velocity ratios approach different values for different beam modes, indicating an interesting behavior of the asymptotic velocity ratio.
引用
收藏
页码:210 / 213
页数:4
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