基于塑性碰撞的调谐质量阻尼器的参数优化研究

The optimum of impact parameters on tuning mass damper with plastic impact

建立了二自由度控制系统的力学模型,在简谐激励下推导了有碰撞调谐质量阻尼器(TMD)的运动方程,并进行无量纲化处理,利用解的同步性推导了内共振条件下有塑性碰撞TMD系统的近似通解,利用数值计算分析了系统各个无量纲参数的敏感性.研究显示,对于有碰撞的TMD系统,间隙比和恢复系数是2个非常敏感的参数,对给定系统,存在最佳间隙比和最佳恢复系数,合理选择碰撞参数,使有碰撞的TMD仍能保持较好的减振效果.

The mechanics model of control system, which has tuned mass damper （TMD） with impact, and the dimensionless equations of two-degree system are derived. The approximate solution of the system is derived by using the synchronization character of the solution of the TMD with plastic impact under the harmonic oscillation, and the sensitivity of the impact parameters are analyzed with numerical simulation. The results show that the parameters of clearance and restitution coefficient are more sensitive for the TMD system with impact. In a given system, the optimum clearance and the optimum coefficient of restitution are exist. The TMD can hold good control effective under collision when the impact parameters are suitably selected.