弹性板吸振控制的无量纲功率流研究

VIBRATION ABSORPTION CONTROL FOR AN ELASTIC PLATE BASED ON DIMENSIONLESS POWER FLOW METHOD

运用功率流的方法研究了动力吸振器用于抑制简支矩形薄板简谐振动的问题,为使研究结果具有一般性,将系统中的结构导纳和功率流进行了无量纲化。以控制频率范围内输入主振系的净功率流最大值最小化为优化设计方法,对板的第一阶共振的吸振问题进行了计算和分析,结果显示,吸振器能有效的抑制主系统的净功率流峰值,增大质量比可以提高控制效果,但这在质量比较大时并不理想,并且在实际工程中,不需要知道主振系损耗因子的精确值。

The suppression of harmonic vibration in a simply supported rectangular thin plate using a dynamic vibration absorber is studied by means of power flow method,and in order to make the results have general meaning,the structural mobility and the power flow in the system are expressed in dimensionless form.Considering minimization of the maximum of the net power flow input the main vibration system over the control frequency range as the objective function,the optimal design of a dynamic vibration absorber for suppressing the first resonance of the plate is discussed,and the results demonstrate that the dynamic vibration absorber is effective in suppressing the peak value of the net power flow.Furthermore,by analyzing the influence of interrelated factors on the structural parameters and control effect of the dynamic vibration absorber,it shows that increasing the mass ratio can enhance the control effect,but it is not economical when the mass ratio is larger and the exact loss factor of the main vibration system is not necessary to know in practical engineering.