Performance of tuned tandem mass dampers based on shape memory alloy

Tuned tandem mass dampers based on shape memory alloy (SMA-TTMD) are proposed in this paper. The SMA-TTMD is formed by replacing the connection damping between two mass blocks in the TTMD with a shape memory alloy spring. Firstly, the stochastic equivalent linearization of non-linear SMA is presented. It is attached to a single-degree-of-freedom structure excited by stationary filtered white noise to study the performance of SMA-TTMD. Based on the minimum displacement variance of the main structure, the structure random vibration method is used to study the optimal control performance. The effectiveness and stroke of the SMA-TTMD under the changes of mass ratios are studied, and the optimal parameters of the system are proposed. The results are compared with those of TTMD. The numerical analysis shows that the control performance of SMA-TTMD is better than that of TTMD. The results demonstrate that the stroke of SMA-TTMD is obviously superior to that of TTMD. (paper)