Pendulum's rotational motion governed by a stochastic Mathieu equation

被引：40
|
作者：
Yurchenko, D. [1 ]
Naess, A. [2 ]
Alevras, P. [1 ]
机构：
[1] Heriot Watt Univ, Dept Mech Engn, Edinburgh, Midlothian, Scotland
[2] NTNU, Dept Math Sci, Trondheim, Norway
来源：
PROBABILISTIC ENGINEERING MECHANICS | 2013年 / 31卷
关键词：
Mathieu equation; Narrowband parametric excitation; Probability density function; Instability domain; Rotational motion; Wave energy converter; SYSTEMS; ORBITS;
D O I：
10.1016/j.probengmech.2012.10.004
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper considers rotational motion of a nonlinear Mathieu equation with a narrow-band stochastic excitation. The path integration technique is utilized to obtain the joint probability density function of the response, which is used to construct domains of rotational motion in parameter space. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：12 / 18
页数：7
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