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对安装有超弹性形状记忆合金(shape memory alloy,简称SMA)阻尼器的单自由度结构在地震激励下的平稳随机振动进行了理论研究:假定地震地面运动是具有平稳过滤有色噪声模型的随机过程,确定了与《建筑抗震设计规范》(GB 50011-2010)相对应的随机地震动模型参数(平稳持时和谱强度因子);建立了SMA阻尼器控制的单自由度结构在平稳地震动过程下的状态方程,并采用随机等价线性化法推导了其平稳反应公式以及基于首超破坏准则的结构动力可靠性公式;通过算例,证明了随机振动解析式是可行的,并指出SMA阻尼器能消耗地震能量,从而有效抑制结构的振动,增加结构动力可靠性。
A theoretical study on the steady random vibration of a single degree-of-freedom structure with a shape memory alloy (SMA) damper mounted under seismic excitation is carried out. Assuming that the seismic ground motion is a stochastic process with a stationary filtered colored noise model , The parameters of stochastic ground motion model (stable time-keeping and spectral intensity factor) corresponding to the Code for Design of Seismic Design of Buildings (GB 50011-2010) were determined. The single-degree-of-freedom structure controlled by SMA damper was established in the process of steady ground motion And the stochastic equivalent linearization method is used to derive the steady-state reaction formula and the structural dynamic reliability formula based on the first-pass failure criterion. It is proved by examples that the stochastic vibration analysis is feasible and the SMA damping The device can consume seismic energy, thereby effectively suppressing the vibration of the structure and increasing the structural dynamic reliability.