一种新的非高斯随机振动数值模拟方法

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (19) : 169-173.

论文

一种新的非高斯随机振动数值模拟方法

蒋瑜，陶俊勇，王得志，陈循

作者信息 +

A Novel Approach for the Numerical Simulation of Non-Gaussian Random Vibration

Jiang Yu Tao Junyong Wang Dezhi Chen Xun

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文章历史 +

摘要

在振动工程领域，采用蒙特卡洛仿真方法求解复杂随机动力学问题时需要精确模拟各种随机振动激励信号。当随机振动激励具有显著的非高斯特征时，用传统的高斯振动去近似将产生较大的分析误差,需要研究精确的非高斯振动数值模拟技术。现有各种非高斯随机模拟方法一般只能模拟具有高峰值特征的随机振动，即超高斯随机振动，并且算法复杂不够直观，需要进行多次反复迭代，模拟精度和效率都有待提高。本文提出了一种新的基于幅值调制和相位重构的非高斯随机振动数值模拟方法，算法简洁直观，并充分利用快速傅里叶变换算法提高模拟效率，不仅可以模拟具有指定统计特性和频谱特性的超高斯随机振动，还能模拟亚高斯随机振动，具有广泛的适应性。数值仿真实验验证了该方法的有效性和精确性。

Abstract

The use of Monte Carlo simulation method for solving complex dynamic problems in vibration engineering requires accurate simulation of various random vibration. In situations where the random vibration has a significant non-Gaussian feature, the use of traditional Gaussian to approximate the non-Gaussian vibration will result in a larger error，so the techniques for their accurate simulation must be available. The various existing simulation methods of non-Gaussian vibration generally can only simulate super-Gaussian vibration with the high-peak characteristics. And most these methods are very complicated, not sufficiently intuitive, requiring repeated iteration, or with the low simulation accuracy and efficiency. This paper presents a novel approach for the simulation of non-Gaussian random vibration with the prescribed statistical and spectral characteristics by amplitude modulation and phase reconstruction, which is simple and intuitive and can simulate both super-Gaussian and sub-Gaussian random vibration. Another attractive feature of the method is that the process can be implemented efficiently using the Fast Fourier Transform technique. Several simulation examples demonstrate the efficiency and accuracy of the proposed algorithm.

导出引用

蒋瑜;陶俊勇;王得志;陈循. 一种新的非高斯随机振动数值模拟方法[J]. 振动与冲击, 2012, 31(19): 169-173

Jiang Yu Tao Junyong Wang Dezhi Chen Xun. A Novel Approach for the Numerical Simulation of Non-Gaussian Random Vibration[J]. Journal of Vibration and Shock, 2012, 31(19): 169-173