Efficient redesign of damped structural systems for target transfer functions Original Research Article

The purpose of this paper is to develop a new analytical procedure for redesign of structural systems with an arbitrary damping system (viscous and/or hysteretic, proportional or non-proportional) for target transfer functions. The ratios of absolute values of the transfer functions evaluated at the undamped fundamental natural frequency of a structural system are taken as controlled quantities together with the undamped fundamental natural frequency. In order to conduct the redesign, a new technique for an incremental inverse problem is proposed. It is shown that the present technique is appropriate for adjusting the undamped fundamental natural frequency and the ratios of absolute values of the transfer functions to the target values.