MTVMD对结构减震参数优化及偏离性分析

研究了MTVMD（multiple tuned viscous mass damper）对单自由度结构在简谐荷载作用下的参数优化设计及减震效果，分析了结构参数变动时系统的鲁棒性.以位移和加速度动力放大系数为优化目标，运用改进模式搜索法搜寻MTVMD最优参数.分析表明，增加质量比和子TVMD个数，MTVMD的减震性能增强，且结构参数变动时，系统鲁棒性增强.考虑阻尼器在实际工作状态时的参数可能会偏离最优参数，假定各子TVMD参数偏离服从正态分布，利用蒙特卡罗试验法对比分析了STVMD（single tuned viscous mass damper）和MTVMD自身参数最不利偏离状态时的减震有效性和可靠性.数值结果表明，STVMD的减震有效性和可靠性与子TVMD个数正相关，MTVMD则存在一个最优子TVMD个数使得减震有效性最佳；STVMD和MTVMD减震性能与参数最大偏离率负相关.

Optimization and Deviation Analysis of Structural Shock Absorption Parameters Based on MTVMD

The parameter optimization design and damping effect of the single-degree-of-freedom structure under the simple harmonic load by the MTVMD (multiple tuned viscous mass damper) are studied. The robustness of the system is analyzed when the structural parameters are changed. Taking the displacement and acceleration dynamic amplification factor as the optimization targets, the improved mode search method is used to search for the optimal parameters of MTVMD. The analysis shows that the increase of mass ratio and of sub-TVMD number, the damping performance of MTVMD is enhanced, and the structural robustness is enhanced when the structural parameters change. Considering the actual working state of the damper, the parameters may deviate from the optimal parameters. Assuming that the deviation of each sub-TVMD parameter obeys normal distribution, the Monte Carlo test method is used to compare and analyze the damping effectiveness and reliability of STVMD (single tuned viscous mass damper) and MTVMD in the most unfavorable deviation state of their parameters. Numerical results show that the damping effectiveness and reliability of STVMD are positively correlated with the number of sub-TVMD, while MTVMD has an optimal sub-TVMD number to make the damping effectiveness best. The damping performance of STVMD and MTVMD is negatively correlated with the maximum deviation rate of parameters.