Bending and shearing responses for dynamic analysis of single-layer graphene sheets under moving load
Bending and shearing responses for dynamic analysis of single-layer graphene sheets under moving load
复制标题
DOI：
10.1007/s40430-017-0863-0
复制
发表时间：
2017-07
影响因子：
2.2
通讯作者：
D. Shahsavari;M. Janghorban
中科院分区：
文献类型：
--
作者：
D. Shahsavari;M. Janghorban
本文研究了单层石墨烯片（SLGS）在移动集中荷载沿着作用下的弯曲和剪切时变响应的尺寸效应。因此，运动方程是通过应用双变量精化板理论结合非局部弹性理论通过汉密尔顿原理导出的。本文用发展状态空间法定义了描述板动力特性的两个独立的未知量，并用Navier解法求解了板的弯曲和剪切变形随速度和时间的变化。纳米板自由振动和受迫振动的初步结果被现有文献所证实，以说明本公式和求解方法的正确性。其次，本文首次提出了移动荷载作用下，同时考虑弯、剪两种情况的滑移桁架动态挠度解。此外，不同的参数，如加载速度，长厚比，和小尺度效应的SLGS的动态挠度的作用进行了处理和讨论。
In this paper, the size-dependent effects on the time-dependent bending and shearing responses of single-layer graphene sheets (SLGSs) induced by displacement of the concentrated moving load along the SLGSs are studied. Hence, the equations of motion are derived by applying two-variable refined plate theory in conjunction with the nonlocal elasticity theory via Hamilton’s principle. The two independent unknowns denoting the dynamic behaviour of plates are defined by the developing state-space method for this case, and Navier-solution method is employed to obtain the bending and shearing deflections due to the variation of velocity and time. The primary results for free and forced vibrations of nanoplates are approved by existing literature to illustrate the correctness of the present formulation and solution methods. Next, a solution including both the bending and shearing dynamic deflections of SLGSs under the moving load is derived for the first time in this research. Moreover, the roles of different parameters such as load velocity, length-to-thickness ratio, and small-scale effects on the dynamic deflections of SLGSs are addressed and discussed.