Stability via nonlocal continuum mechanics

被引：14
|
作者：
Potapov, V. D. [1 ]
机构：
[1] Moscow State Univ Means Commun, Dept Struct Mech, Moscow 127994, Russia
来源：
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2013年 / 50卷 / 05期
关键词：
Nonlocal elasticity; Nonlocal damping; Stability; Stochastic process; MULTIWALLED CARBON NANOTUBES;
D O I：
10.1016/j.ijsolstr.2012.10.019
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The problem is concerned with the parametric oscillations of a beam subjected to a longitudinal deterministic or stochastic force. The equation, describing the motion of the Euler-Bernoulli beam, is based on the nonlocal elasticity theory and nonlocal damping. The dynamic stability problem is solved for the beam, made from micro- and nano-materials. Asymptotic stability and almost sure asymptotic stability criteria involving a damping coefficient, structure and loading parameters are derived using the method of the maximal Liapunov exponent. (c) 2012 Elsevier Ltd. All rights reserved.
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页码：637 / 641
页数：5
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