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工程力学  2014 

单自由度SMA阻尼结构在高斯白噪声激励下的平稳随机振动分析

DOI: 10.6052/j.issn.1000-4750.2012.10.0726, PP. 35-40

Keywords: 形状记忆合金,阻尼器,力学模型,随机振动,随机等价线性化法,蒙特卡罗模拟法

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Abstract:

设计了一种超弹性形状记忆合金(ShapeMemoryAlloy,SMA)阻尼器。在SMA丝的Graesser本构模型基础上,建立了SMA阻尼器的常规力学模型,进而提出了其简化力学模型。采用随机等价线性化法建立了单自由度SMA阻尼结构在高斯白噪声激励下的平稳随机振动分析公式。算例比较了随机等价线性化法和蒙特卡罗(MonteCarlo)模拟法计算的结构振动响应,证明了随机等价线性化法的有效性;比较了无控结构和SMA阻尼结构的动力特性和振动响应,说明了SMA阻尼器能增加结构的刚度和阻尼比,因而可有效抑制结构的振动。

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