Impedance matching control of beam based on finite difference approach

基于有限差分法，提出了一种新的边界附近梁的吸波控制方法。利用内部节点方程的波解对边界节点方程进行补偿，使之与内部节点方程相同。对自由边界和简支边界的分布力控制和弯矩控制进行了研究。对于任意频率的边界，分布力控制是有效的，对于自由边界，在高于第四固有频率的频率范围内的力矩控制是有效的。

A new wave absorbing control method of beams near boundary has been developed based on the finite difference approach. The boundary node equation is compensated to be same as the interior node equation by using the wave solution of the interior node equation. The distributed force control and bending moment control have been investigated for both free boundary and simply-supported boundary. The distributed force control has been shown to be effective at any frequency for both boundaries and the moment control within the frequency range higher than the 4th natural frequency for free boundary.Application of wave control of beam to a measurement technique has been also investigated.