Dynamic response of biaxially loaded double-layer viscoelastic orthotropic nanoplate system under a moving nanoparticle
Dynamic response of biaxially loaded double-layer viscoelastic orthotropic nanoplate system under a moving nanoparticle
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DOI：
10.1016/j.ijengsci.2017.02.005
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发表时间：
2017-06
影响因子：
6.6
通讯作者：
H. Khaniki;S. Hosseini-Hashemi
中科院分区：
文献类型：
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作者：
H. Khaniki;S. Hosseini-Hashemi
在本文中，研究了双层纳米板系统（DLNPS）相对于移动纳米颗粒的动态行为。假设 DLNPS 的两层都是正交各向异性的，每层都承受双轴载荷，同时还考虑内部阻尼效应。此外，使用 Kelvin-Voigt 粘弹性理论对层之间的耦合进行建模，并且假设移动纳米颗粒路径是恒定速度的线性和圆形。利用达朗贝尔原理、基尔霍夫-洛夫板和埃林根非局域理论导出了运动控制方程。采用伽辽金和拉普拉斯变换方法求解控制方程，对于直线运动的纳米颗粒给出了解析解，对于圆形运动的纳米颗粒则得到了闭式解。为了阐明小尺度效应、耦合中的刚度和阻尼、层的双轴压缩和拉伸、运动质量的路径等不同参数对各层动态行为的影响，提出了参数化研究。因此，随着使用扫描隧道显微镜（STM）和原子力显微镜（AFM）对移动原子、分子、纳米汽车、纳米修剪、不同纳米结构上的点载荷进行全新的讨论，这项研究可能是理解此类行为的一步。
In this paper, dynamic behavior of double layered nanoplate systems (DLNPS) with respect to a moving nanoparticle is investigated. Both layers of DLNPS are assumed to be orthotropic and each layer is bearing a biaxial load while internal damping effects are also taken into account. Furthermore, coupling between layers are modeled using Kelvin-Voigt viscoelastic theory and moving nanoparticles path are assumed to be linear and circular with constant velocities. Governing equations of motion are derived by using D'Alembert's principle, Kirchhoff-Love plate and Eringen's nonlocal theory. Galerkin's and Laplace transform methods is used to solve the governing equations and analytical solution is presented for linear moving nanoparticle while close-form solution is obtained for circular moving nanoparticle. In order to clarify the influence of different parameters such as small scale effect, stiffness and damping in coupling, biaxial compression and tension of layers, path of the moving mass, etc. on dynamic behavior of each layer, parametric study is presented. Accordingly, with the brand new discussions in moving atoms, molecules, nanocars, nanotrims, point loads on different nanosctructures using scanning tunneling microscopes (STM) and atomic force microscopes (AFM), this study could be a step forward in understanding such kind of behaviors.