Abstract
A study of the vibrational control of adaptive doubly-tapered cantilevered beams, simulating an aircraft wing, exposed to time-dependent external pulses is presented. Whereas the beam structure encompasses non-classical properties such as transverse shear and anisotropy of their constituent materials, the active control capabilities are based upon the implementation of the adaptive materials technology. Herein, the adaptive feature is achieved through the converse piezoelectric effect that consists of the generation of localized strains in response to an applied voltage. Piezoactuators in the form of patches or spread all over the beam span are considered. The active control involves the dynamic response to arbitrary time-dependent external pulses. The closed-loop dynamic response time-histories are obtained via the use of the piezoelectrically induced moment control, and through the implementation of a modified bang-bang control strategy that involves a maximum value constraint imposed on the input voltage. In addition to this active feedback control methodology, a passive one based upon the use of the directionality property of anisotropic composite material structures is also implemented. Moreover, the results are compared to those obtained via the implementation of other two feedback control methodologies, namely the Linear Quadratic Regulator (LQR) and the Fuzzy Logic Control (FLC). Numerical simulations emphasizing the performance of the adopted control strategies intended to contain and even suppress the oscillations when time unfolds are presented, and pertinent conclusions are outlined.
| Original language | English |
|---|---|
| Pages (from-to) | 661-675 |
| Number of pages | 15 |
| Journal | European Journal of Mechanics, A/Solids |
| Volume | 24 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2005 Jul 1 |
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Keywords
- Adaptive cantilevers
- Bang-bang, LQR and FLC controls
- Converse piezoelectric effect
- Thin-walled beams
ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
Cite this
Comparative study on vibration control methodologies applied to adaptive thin-walled anisotropic cantilevers. / Librescu, Liviu; Na, Sung Soo.
In: European Journal of Mechanics, A/Solids, Vol. 24, No. 4, 01.07.2005, p. 661-675.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Comparative study on vibration control methodologies applied to adaptive thin-walled anisotropic cantilevers
AU - Librescu, Liviu
AU - Na, Sung Soo
PY - 2005/7/1
Y1 - 2005/7/1
N2 - A study of the vibrational control of adaptive doubly-tapered cantilevered beams, simulating an aircraft wing, exposed to time-dependent external pulses is presented. Whereas the beam structure encompasses non-classical properties such as transverse shear and anisotropy of their constituent materials, the active control capabilities are based upon the implementation of the adaptive materials technology. Herein, the adaptive feature is achieved through the converse piezoelectric effect that consists of the generation of localized strains in response to an applied voltage. Piezoactuators in the form of patches or spread all over the beam span are considered. The active control involves the dynamic response to arbitrary time-dependent external pulses. The closed-loop dynamic response time-histories are obtained via the use of the piezoelectrically induced moment control, and through the implementation of a modified bang-bang control strategy that involves a maximum value constraint imposed on the input voltage. In addition to this active feedback control methodology, a passive one based upon the use of the directionality property of anisotropic composite material structures is also implemented. Moreover, the results are compared to those obtained via the implementation of other two feedback control methodologies, namely the Linear Quadratic Regulator (LQR) and the Fuzzy Logic Control (FLC). Numerical simulations emphasizing the performance of the adopted control strategies intended to contain and even suppress the oscillations when time unfolds are presented, and pertinent conclusions are outlined.
AB - A study of the vibrational control of adaptive doubly-tapered cantilevered beams, simulating an aircraft wing, exposed to time-dependent external pulses is presented. Whereas the beam structure encompasses non-classical properties such as transverse shear and anisotropy of their constituent materials, the active control capabilities are based upon the implementation of the adaptive materials technology. Herein, the adaptive feature is achieved through the converse piezoelectric effect that consists of the generation of localized strains in response to an applied voltage. Piezoactuators in the form of patches or spread all over the beam span are considered. The active control involves the dynamic response to arbitrary time-dependent external pulses. The closed-loop dynamic response time-histories are obtained via the use of the piezoelectrically induced moment control, and through the implementation of a modified bang-bang control strategy that involves a maximum value constraint imposed on the input voltage. In addition to this active feedback control methodology, a passive one based upon the use of the directionality property of anisotropic composite material structures is also implemented. Moreover, the results are compared to those obtained via the implementation of other two feedback control methodologies, namely the Linear Quadratic Regulator (LQR) and the Fuzzy Logic Control (FLC). Numerical simulations emphasizing the performance of the adopted control strategies intended to contain and even suppress the oscillations when time unfolds are presented, and pertinent conclusions are outlined.
KW - Adaptive cantilevers
KW - Bang-bang, LQR and FLC controls
KW - Converse piezoelectric effect
KW - Thin-walled beams
UR - http://www.scopus.com/inward/record.url?scp=23344444342&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=23344444342&partnerID=8YFLogxK
U2 - 10.1016/j.euromechsol.2004.12.006
DO - 10.1016/j.euromechsol.2004.12.006
M3 - Article
AN - SCOPUS:23344444342
VL - 24
SP - 661
EP - 675
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
SN - 0997-7538
IS - 4
ER -