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FRIDAY MORNING, 20 MAY 2005 REGENCY E, 8:30 A.M. TO 12:00 ...

FRIDAY MORNING, 20 MAY 2005 REGENCY E, 8:30 A.M. TO 12:00 ...

FRIDAY MORNING, 20 MAY 2005 REGENCY E, 8:30 A.M. TO 12:00 ...

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ducer placement scoring process, involving Hankel singular values<br />

HSVs, is combined with a genetic optimization routine to find spatial<br />

locations robust to boundary condition variation. Predicted frequency response<br />

characteristics are examined, and optimized results are discussed in<br />

relation to boundary condition variations. Results indicate it is possible to<br />

minimize the impact of uncertain boundary conditions in active structural<br />

acoustic control by optimizing the placement of transducers with respect<br />

to uncertainties. Both analytical and experimental results will be discussed.<br />

10:<strong>00</strong>–10:15 Break<br />

energy sinks do not require presence of damping in the classical sense. A<br />

set of undamped oscillators that make up an energy sink collectively absorb<br />

the vibratory energy and retain it in their phase space. Earlier optimization<br />

studies by the authors have shown the feasibility of vibration<br />

absorption and retention by energy sinks if the set of oscillators have a<br />

particular frequency distribution. Experimental results support the concept<br />

of energy sinks. Different physical realizations of energy sinks demonstrate<br />

the significance of frequency distributions and the ability of energy<br />

sinks to reduce vibration amplitude of a primary structure to which they<br />

are attached.<br />

10:15<br />

5aSA5. Optimal energy dissipation in a semi-active friction device.<br />

Paulin Buaka, Philippe Micheau, and Patrice Masson GAUS, Mech.<br />

Eng. Dept., Université de Sherbrooke, Sherbrooke, QC, Canada J1K 2R1,<br />

Patrice.Masson@USherbrooke.ca<br />

A semi-active device is presented for vibration control using energy<br />

dissipation by dry friction at contact surfaces. Semi-active behavior is<br />

provided by two piezoelectric stack actuators driven in real time to apply<br />

a normal force on a mobile component through two friction pads. Theoretical<br />

and experimental results show that there is an optimal constant<br />

normal force to maximize the energy dissipated for the case of a harmonic<br />

disturbance. In order to improve the energy dissipation by real time control<br />

of the normal force, two nonlinear controllers are proposed: 1 the<br />

Lyapunov method leading to a nonlinear bang-bang controller law and 2<br />

the feedback linearization approach leading to equivalent viscous friction.<br />

The implementation of both strategies is presented and both are experimentally<br />

assessed using a clamped-free beam with the semi-active device<br />

attached to the beam. It is shown that a proper choice for the parameters of<br />

the controllers leads to an increased energy dissipation with respect to the<br />

case where the normal force is constant. This dissipation is further increased<br />

by adjusting a phase shift in the nonlinear feedback loop in order<br />

to avoid a stick-slip motion of the mobile component.<br />

10:<strong>30</strong><br />

5aSA6. Energy sinks: Vibration absorption by an optimal set of<br />

undamped oscillators. Ilker Koç Mech. Eng. Dept., Carnegie Mellon<br />

Univ., Pittsburgh, PA 15213, Antonio Carcaterra Universita Degli Studi<br />

di Roma ‘‘La Sapienza,’’ <strong>00</strong>184 Roma, Italy, Zhaoshun Xu, and Adnan<br />

Akay Carnegie Mellon Univ., Pittsburgh, PA 15213<br />

This presentation offers the concept of energy sinks as an alternative to<br />

conventional methods of vibration absorption and damping. A prototypical<br />

energy sink envisioned here consists of a set of oscillators attached to, or<br />

an integral part of, a vibrating structure. The oscillators that make up an<br />

energy sink absorb vibratory energy from a structure and retain it in their<br />

phase-space. In principle, energy sinks do not dissipate vibratory energy as<br />

heat in the classical sense. The absorbed energy remains in an energy sink<br />

permanently so that the flow of energy from the primary structure appears<br />

to it as damping. This paper demonstrates that a set of linear oscillators<br />

can collectively absorb and retain vibratory energy with near irreversibility<br />

when they have a particular distribution of natural frequencies. The approach<br />

to obtain such a frequency response is based on an optimization<br />

that minimizes the energy retained by the structure as a function of frequency<br />

distribution of the oscillators in the set.<br />

10:45<br />

5aSA7. Experiments on vibration absorption using energy sinks.<br />

Adnan Akay, Zhaoshun Xu Mech. Eng. Dept., Carnegie Mellon Univ.,<br />

Pittsburgh, PA 15213, Antonio Carcaterra Universita Degli Studi di<br />

Roma ‘‘La Sapienza,’’ <strong>00</strong>184 Roma, Italy, and Ilker Koç Carnegie<br />

Mellon Univ., Pittsburgh, PA 15213<br />

This presentation describes experiments that demonstrate the concept<br />

of energy sinks where a set of multiple undamped linear oscillators attached<br />

to a vibrating structure can absorb most of its energy. In principle,<br />

11:<strong>00</strong><br />

5aSA8. Experimental study on passiveÕactive hybrid isolation. Zi Jun<br />

Zhang, Woo Suk Chang, Koon Meng Nyang, and Yew Wing Chan DSO<br />

Natl. Labs., Singapore. No <strong>20</strong>, Sci. Park Dr., Singapore 1182<strong>30</strong><br />

This paper discusses the control of a high stroke low stiffness nonlinear<br />

actuator which formed the key element of a smart engine mount<br />

system that provides strong support for the engine while at the same time<br />

absorbing the engine vibration energy. The actuator is made of a stacked<br />

PZT embedded in an elliptical shaped metal frame, in the horizontal direction.<br />

Due to the geometry of the frame, the displacement generated by<br />

the PZT stacks is amplified up to about 5 times in the vertical direction.<br />

However, due to the geometry of the actuator, the vertical and horizontal<br />

motions are non-linear and excite motions at multiples of the driving frequency.<br />

Feedback controllers cannot be used since the high frequency<br />

motion causes spillover problem and control becomes unstable. The<br />

filtered-X adaptive controller with sufficient high sampling rate is tested<br />

and found to be a useful and reliable controller for the actuator for suppressing<br />

the vibration to almost ambient noise level. This actuator requires<br />

relatively lower driving voltage level and delivers larger stroke range. This<br />

would be more suitable for vibration isolation application where the actuator<br />

is serially connected with passive dampers.<br />

11:15<br />

5aSA9. Comparison between control strategies for active constrained<br />

layer damping treatment to control the sound radiation from a<br />

vibrating structure. Hui Zheng, Chun Lu, and Heow Pueh Lee Inst. of<br />

High Performance Computing, 1 Sci. Park Rd., #01-01 The Capricorn, Sci.<br />

Park II, Singapore 117528<br />

A comparative study is presented of three control strategies for active<br />

constrained layer damping ACLD treatments to control the sound radiation<br />

from a vibrating planar structure. The first control strategy is one<br />

commonly used in most existing studies of ACLD for structural vibration<br />

control; i.e., the error signal to be minimized for the controller is the<br />

vibration response sensed by point transducers, and a proportional derivative<br />

controller is employed where the sensor signal and the voltage output<br />

is related by real-valued feedback gains. The second control strategy is<br />

similar to the first, except that the real-valued control gains are substituted<br />

by complex-valued ones. In the third control strategy, the discrete structural<br />

acoustic sensing approach is introduced for observing the sound radiation<br />

from the structure, and the estimated sound power constitutes the<br />

controller input. The control gains aiming to reduce the sound radiation<br />

from a simply-supported beam are optimized respectively for the three<br />

control strategies, and the control performances are compared. Numerical<br />

results show that using the complex-valued control gain in the controller<br />

design is always better than using real-valued gain. Furthermore, the<br />

ACLD treatments adopting the third control strategy require lowest control<br />

efforts.<br />

2602 J. Acoust. Soc. Am., Vol. 117, No. 4, Pt. 2, April <strong>20</strong>05 149th Meeting: Acoustical Society of America 2602

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