Precision Machine Dynamics/Mechatronics Design - 9

Zeros In SISO Mechanical Systems 

Zeros of any particular transfer function are the poles of the constrained system(s) to the left and/ or left of the system defined by constraining the one or two dof's defining the transfer function. The resonances of the 'overhanging appendages' of the constrained system create the zeros.

For example, a series arrangement of masses and springs, with a total of 'n' masses and 'n+1' springs. The degrees of freedom are numbered from left to right, z1 through zn.

From above diagram, we know:

1. In case 1, there are no overhang