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利用形状记忆合金(Shape Memory Alloy,简称SMA)丝的超弹性,提出了一种具有复位功能的SMA阻尼器.在SMA丝的Graesser本构模型基础上,建立了SMA阻尼器恢复力的常规模型,进而提出了其简化模型.采用随机等价线性化法建立了SMA阻尼器控制的单自由度结构在高斯白噪声激励下的随机振动理论.通过一算例,考虑不同激励谱密度和结构阻尼比:比较了随机振动理论和蒙特卡罗(Monte Carlo)模拟法计算的结构振动响应,证明了随机振动理论的有效性;说明了SMA阻尼器能提高结构的刚度和阻尼比,因而可有效抑制结构的振动.
Based on the hyperelasticity of Shape Memory Alloy (SMA) wire, a SMA damper with reset function was proposed.Based on the Graesser constitutive model of SMA wire, a general model of SMA damper’s restoring force , Then a simplified model is proposed.The stochastic equivalent linearization method is used to establish the stochastic vibration theory of single degree-of-freedom structure controlled by SMA damper under Gaussian white noise excitation.An example is given to consider the different excitation spectral density and structural damping Ratio: The vibrational response of the structure calculated by the random vibration theory and the Monte Carlo simulation method is compared, and the validity of the stochastic vibration theory is proved. It is shown that the SMA damper can increase the rigidity and damping ratio of the structure and thus can effectively suppress Structural vibration.