含分数阶导数型阻尼的随机系统响应的统计模拟法

Statistical Simulation Method for the Response of Stochastic Systems Contained Fractional Derivatives

讨论了含分数阶导数型阻尼的随机系统响应问题的统计模拟方法。该方法的核心是利用Riemann-Liouville分数阶导数定义中核函数的特性,建立分数阶导数的近似计算公式。算例表明,该方法具有收敛快、精度高且计算效率高。

A statistical simulation method for the response of stochastic systems contained fractional derivative damping is discussed in this paper.The core of this method is established a numerical algorithm directly from the Riemann-Liouville fractional derivative definition by taking advantage of the features of its integrand kernel.The sample results show that the proposed method possesses the advantages of fast convergence,higher accuracy and efficiency.