Vibration analysis of orthotropic graphene sheets using nonlocal elasticity theory and differential quadrature method
Vibration analysis of orthotropic graphene sheets using nonlocal elasticity theory and differential quadrature method
复制标题
DOI：
10.1016/j.compstruct.2010.08.004
复制
发表时间：
2011
影响因子：
6.3
通讯作者：
S. C. Pradhan;A. Kumar
中科院分区：
文献类型：
--
作者：
S. C. Pradhan;A. Kumar
研究了正交各向异性单层石墨烯片（SLGS）振动分析的小尺度效应。采用Eringen的非局部微分本构关系对石墨烯片的弹性理论进行了重新表述。非局部理论的运动方程推导出的石墨烯片。采用微分求积法（DQM）求解各种边界条件下的控制微分方程。采用非局部理论研究了非局部参数对正交各向异性石墨烯片固有频率的小尺度效应。此外，（i）非局部参数，（ii）石墨烯片的尺寸，（iii）材料性质和（iv）边界条件对无量纲振动频率的影响进行了研究。
The small scale effect on the vibration analysis of orthotropic single layered graphene sheets (SLGS) is studied. Elastic theory of the graphene sheets is reformulated using the nonlocal differential constitutive relations of Eringen. The equations of motion of the nonlocal theories are derived for the graphene sheets. Differential quadrature method (DQM) is employed to solve the governing differential equations for various boundary conditions. Nonlocal theories are employed to bring out the small scale effect of the nonlocal parameter on the natural frequencies of the orthotropic graphene sheets. Further, effects of (i) nonlocal parameter, (ii) size of the graphene sheets, (iii) material properties and (iv) boundary conditions on nondimensional vibration frequencies are investigated.