document: H/sub 2 / optimization of the three-element type dynamic vibration absorbers The dynamic vibration absorber -LRB- DVA -RRB- is a passive vibration control device which is attached to a vibrating body -LRB- called a primary system -RRB- subjected to exciting force or motion . In this paper , we will discuss an optimization problem of the three-element type DVA on the basis of the H/sub 2 / optimization criterion . The objective of the H/sub 2 / optimization is to reduce the total vibration energy of the system for overall frequencies ; the total area under the power spectrum response curve is minimized in this criterion . If the system is subjected to random excitation instead of sinusoidal excitation , then the H/sub 2 / optimization is probably more desirable than the popular H/sub infinity / optimization . In the past decade there has been increasing interest in the three-element type DVA . However , most previous studies on this type of DVA were based on the H/sub infinity / optimization design , and no one has been able to find the algebraic solution as of yet . We found a closed-form exact solution for a special case where the primary system has no damping . Furthermore , the general case solution including the damped primary system is presented in the form of a numerical solution . The optimum parameters obtained here are compared to those of the conventional Voigt type DVA . They are also compared to other optimum parameters based on the H/sub infinity / criterion
doc_bio_tags: O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: passive vibration control power spectrum response
abstractive_keyphrases: h/sub 2/ optimization voigt type dynamic vibration absorber three-element type dynamic vibration absorbers