Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 50, Issue 5, Pages 637-641Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2012.10.019
Keywords
Nonlocal elasticity; Nonlocal damping; Stability; Stochastic process
Categories
Funding
- Russian Foundation of Basic Researches
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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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