Stability via nonlocal continuum mechanics
Stability via nonlocal continuum mechanics
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通过非局部连续介质力学实现稳定性
DOI：
10.1016/j.ijsolstr.2012.10.019
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
V. Potapov
中科院分区：
文献类型：
--
作者：
V. Potapov
该问题涉及梁在纵向确定性或随机力作用下的参数振荡。描述欧拉-伯努利梁运动的方程基于非局部弹性理论和非局部阻尼。解决了由微纳米材料制成的梁的动力稳定性问题。利用极大李雅普诺夫指数法，导出了涉及阻尼系数、结构和载荷参数的渐近稳定性判据和几乎确定渐近稳定性判据。
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.