Structural Modification for the Assignment of Zeros Using Measured Receptances

Abstract

In many engineering applications it is desirable to assign the zeros of point or cross receptances to particular frequencies. This means that at the chosen coordinate no vibration will be experienced at those frequencies. It is shown how such an objective can be achieved by means of passive stiffness, damping, and mass modifications to the structure. The frequency responses of a subsidiary eigenvalue problem, the eigenvalue problem of the zeros, are determined in order that the methods of inverse structural modification may be applied. The technique requires only a small number of measurements from the structure in its unmodified condition. Numerical and physical experiments are carried out to illustrate the application of the method.