Damping design criteria

In terms of design specification, it is not uncommon to use decay ratio as the design criterion. Repeating Eq. (3-29), the decay ratio DR (or the overshoot OS) is a function of the damping ratio ... 

Modal damping and eigenfrequencies can be represented by defined in (1). In terms of design criterion, Af shovtld remain lower than a critical value, Ms, during the nominal regime of the mrboset (Martinal 2000). Therefore, we have to check that ... 

In terms of controller design, the closed-loop poles (or now the root loci) also tell us about the system dynamics. We can extract much more information from a root locus plot than from a Routh criterion analysis or a s = jco substitution. In fact, it is common to impose, say, a time constant or a damping ratio specification on the system when we use root locus plots as a design tool. 

The new optimization criterion is demonstrated by an example of a three-story shear building with 2% damping ratio in each mode. With total MTMD mass ratio, // = 2%, the optimum parameters ofMTMD with five units (p=5) versus a are presented in Figure 3(a). Comparing with conventional design parameters (when a = . ,) ,=3.03%, (rp ,. 0,860,... 

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