Stochastic stability of multi-nanobeam systems

被引:21
作者
Pavlovic, Ivan R. [1 ]
Karlicic, Danilo [1 ]
Pavlovic, Ratko [1 ]
Janevski, Goran [1 ]
Ciric, Ivan [1 ]
机构
[1] Univ Nis, Fac Mech Engn, A Medvedeva 14, Nish 18000, Serbia
关键词
Nonlocal elasticity; Multi-nanobeam; Viscoelastic medium; Stochastic stability; Moment lyapunov exponent; Almost sure stability; Wideband process; MULTILAYERED GRAPHENE SHEETS; NONLOCAL CONTINUUM-MECHANICS; CARBON NANOTUBES; DYNAMIC STABILITY; VIBRATION; ELASTICITY; MODELS; INSTABILITY; BEAMS;
D O I
10.1016/j.ijengsci.2016.09.006
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The paper analyzes a stochastic stability problem of a multi-nanobeam system subjected to compressive axial loading. It is assumed that each pair of nanobeams is simply supported and continuously joined by a viscoelastic layer. Differential equations of nanobeams are given according to Eringen's nonlocal elasticity theory of Helmholtz and bi-Helmholtz type of kernel and Euler Bernoulli beam theory. Each pair of axial forces consists of a constant part and a time-dependent stochastic function. By using the moment Lyapunov exponent method, regions of almost sure stability of a multi-nanobeam system are obtained in a function of different parameters of the viscoelastic medium, axial loadings and number of nanobeams. Using the regular perturbation method, an approximated analytical solution of the moment Lyapunov exponent is obtained for a single nanobeam subjected to the white noise process, where the results are successfully confirmed with numerical results using the Monte Carlo simulation method. Numerical determination of the moment Lyapunov exponents is further performed for a higher number of nanobeams and different models of wideband processes. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:88 / 105
页数:18
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