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A mean total velocity response spectrum for characterizing the mean absolute input energy of multiple-support structures is derived utilizing their pseudo-static response.
Finally, the optimization problem of the complex modulus of the MRE core is defined by minimizing the velocity response spectrum and the rms velocity response of the sandwich beam, through altering the applied magnetic fields.
With these equations, the frequency-response function matrix of the beam mass system and the expression of the velocity response spectrum are then obtained, with which the root-mean-square (rms) velocity response in terms of the one-third octave frequency band can be calculated.
There are three types of response spectrum namely: acceleration response spectrum, velocity response spectrum and displacement response spectrum.
The maximum values of these are defined as acceleration response spectrum Sa (T, h), velocity response spectrum Sv (T, h) and displacement response spectrum Sd (T, h).
Based on studies, T p can be considered a good approximation of the period in which the velocity response spectrum reaches its maximum value.
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Fig. 6 Horizontal velocity response spectra.
Fig. 11 Distribution of 5%% damped velocity response spectra (Sv).
Fig. 4 Velocity response spectra with 5% damping for the Tokyo Bay area stations.
The velocity response spectra with 5% damping are compared in Fig. 4.
Fig. 7 Velocity response spectra at stations located in the outside the basin area.
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