Dynamics of size-dependant Timoshenko micro beams subjected to moving loads

被引:105
作者
Esen, Ismail [1 ]
机构
[1] Karabuk Univ, Dept Mech Engn, Karabuk, Turkey
关键词
Small scale; Couple stress; Moving load; Timoshenko beam; FEM; COUPLE STRESS THEORY; FREE-VIBRATION ANALYSIS; WALLED CARBON NANOTUBE; TRANSVERSE VIBRATION; ELEMENT;
D O I
10.1016/j.ijmecsci.2020.105501
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this study, dynamic behaviour of size dependant Timoshenko microbeams under the influence of moving loads is modelled and investigated using FEM method. Firstly, the stiffness and mass property matrices of small-scale size-dependant two-node finite element are obtained by using new shape functions derived from the static state of motion equations created using classical Timoshenko beam theory (TBT) and modified couple stress theory (MCST). Subsequently, the load-beam interaction is modelled and integrated with beam motion equations without neglecting the mass inertia effects of the moving load. The effects of different load velocities, mass of the load and material size parameter on the beam dynamics have been investigated in a wide context.
引用
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页数:11
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