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非白噪声激励的非线性系统非平稳响应的一种计算方法 被引量:3

A Calculating Method for Non-Stationary Response of Non-Linear Systems Subjected to Non-White Excitation
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摘要 本文给出了一种计算非线性系统在非白噪声激励下非平稳响应的方法。该方法采用统计线性化和数学归纳法,获得了位移、速度的均方和协方的递推关系。考虑了等效线性化系数的时变性;给出了两个算例,并将计算结果与相应的数字模拟结果[8]进行了比较。结果证明该方法是简单、精确和有效的。 In this paper a method is developed to calculate the non-stationary response of non-linear systems subjected to non-white noise excitation.Statistical linearization and mathematical inductive methods are used to obtain a recursive relation for evaluating the variance and covariance of displacement and velocity.The time-dependent equivalent linear system is considered. Two examples are presented and computed results are compared with the corresponding digital simulation results[8].The method is shown to be simple,accurate and effective.
作者 张明
出处 《振动工程学报》 EI CSCD 1994年第3期223-229,共7页 Journal of Vibration Engineering
基金 四川省基础研究专项基金
关键词 非线性 非平稳 非白噪声 随机响应 non-linear non-stationary non-white noise random response
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同被引文献15

  • 1曹晖,林学鹏.地震动非平稳特性对结构非线性响应影响的分析[J].工程力学,2006,23(12):30-35. 被引量:33
  • 2Ricciardi G. Random vibration of beam under moving loads [J]. Journal of Engineering Mechanics, 1994, 120 ( 11) : 2361-2380.
  • 3Lin Y K, Cai G Q. Probabilistic theory of structural dynamics: advanced theory and applications[M]. New York: McGraw-Hill, 1995: 165-178.
  • 4DiPaola M, Pirrotta A. Direct derivation of corrective terms in SDE through nonlinear transformation on Fokker-Planck equation[J]. Nonlinear Dynamics, 2004, 36(2-4): 349-360.
  • 5Di Paola M, Falsone G. Stochastic dynamics of nonlinear systems driven by non-normal delta-correlated processes[J]. Journal of Applied Mechanics, 1993, 60(1): 141-148.
  • 6Gfigofiu M. Dynamic systems with Poisson white noise [ J]. Journal of Nonlinear Dynamics, 2004, 36(2-4): 255-266.
  • 7Pirrotta A. Non-linear systems under parametric white noise input : digital simulation and response [ J ]. International Journal of Non-Linear Mechanics, 2005, 40(8) : 1088-1101.
  • 8Kim C, Kim C, Lee E K, flanggi P, Talkner P. Numerical method for solving stochastic differential equations with Poissonian white shot noise [J]. Physical review E, 2007, 76: 01109.
  • 9Chalmers G D, Higham D J. Convergence and stability analysis for implicit simulations of stochastic differential equations with random jump magnitudes[J]. Discrete and Continuous Dynamical Systems B, 2008, 9 (1): 47-64.
  • 10王洪礼,许佳,葛根.机翼颤振的随机Hopf分岔研究[J].机械强度,2008,30(3):368-370. 被引量:6

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