Modal Analysis Topics, Volume 3

Fig. 3. Typical global control processor (after Daley et al. 2004) 4 ANALYTICAL SIMULATIONS The analytical simulations presented in this work cover two IMSC controller designs a) IMSC Controller 1 – This controller aims to increase the damping in the first mode of vibration of the ROM of the laboratory structure by up to 20 times while not engaging the second mode of vibration. b) IMSC Controller 2 – This controller aims to increase the damping in both the first and second modes of vibration of ROM of the laboratory structure by up to 20 times. 4.1 IMSC Controller 1 The settings of this controller are set so as to target an increase in damping of the 1st mode only by up to 20 times whilst not engaging the second mode of vibration. Figs. 4a and 4b show the uncontrolled and controlled acceleration responses of the laboratory structure model to a walking excitation force noted in section 1.2. Fig. 4c illustrates the control force whilst Fig. 4d shows the point mobility frequency response function for the uncontrolled and controlled structural model. The peak 1s running RMS acceleration responses for the uncontrolled and controlled ROM are 0.44 m/s2 and 0.088m/s2 , respectively. This follows the recommendation of ISO 2631:1997, for which the peak 1s running RMS is defined as the Maximum Transient Vibration Value (MTVV). (a) Uncontrolled response (b) Controlled response – IMSC design 1 219

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