复合随机振动分析的混合PC-PEM方法

项盼 赵岩 林家浩

振动与冲击 ›› 2015, Vol. 34 ›› Issue (4) : 35-39.

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PDF(1446 KB)
振动与冲击 ›› 2015, Vol. 34 ›› Issue (4) : 35-39.
论文

复合随机振动分析的混合PC-PEM方法

  • 项盼 赵岩 林家浩
作者信息 +

Hybrid PC-PEM method for double random vibration analysis

  • XIANG Pan,ZHAO Yan, LIN Jia-hao
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文章历史 +

摘要

由于加工、制造等原因,实际结构系统往往所具有很多不确定性,准确评估随机系统的动力学行为不仅具有实际意义,而且是近年来结构动力学理论的一个研究热点。本文研究了同时考虑结构模型参数与所受外激励载荷具有不确定性的复合随机振动问题。结构模型参数的不确定性采用随机变量模拟,外激励载荷的不确定性采用随机过程模拟,提出了结构随机振动响应评估的混合混沌多项式-虚拟激励(PC-PEM)方法。数值算例研究了参数不确定性在21杆桁架中的传播,讨论了响应的一阶、二阶统计矩,并同蒙特卡洛方法进行对比表明提出方法的正确性和有效性。本文的工作对于考虑不确定的复杂装备与结构系统的随机振动分析具有很好的借鉴意义。

Abstract

Due to the processing and manufacturing uncertainty the actual structure system often has a lot of uncertainty. How to accurately assess the dynamic behavior of the uncertain system, it not only has the practical significance, but also is a research focus on the structural theory in recent years. In this paper the dynamic behavior of the structure with uncertain parameters under external random excitation is investigated. The uncertain parameters of the structure are modeled by the random variable, and the random excitations are modeled by the stochastic process. The hybrid Polynomial Chaos and Pseudo Excitation Method (PC-PEM) are proposed to evaluate the random vibration response of the uncertain structure. Finally, the proposed method is applied to evaluate the random response of a 21 bars truss with uncertain parameters. The first two statistical moments are discussed, and the correctness and effectiveness of the proposed method are verified compare with the Monte Carlo Method. This work is of great significance to the random vibration analysis for the complex equipments and structures with the uncertain parameters.

关键词

不确定 / PC展开 / 虚拟激励法 / Hermite多项式 / 随机伽辽金法方法

Key words

uncertainty / polynomial chaos expansion / pseudo excitation method / Hermite polynomial / random Galerkin method

引用本文

导出引用
项盼 赵岩 林家浩. 复合随机振动分析的混合PC-PEM方法[J]. 振动与冲击, 2015, 34(4): 35-39
XIANG Pan;ZHAO Yan; LIN Jia-hao. Hybrid PC-PEM method for double random vibration analysis[J]. Journal of Vibration and Shock, 2015, 34(4): 35-39

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