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Passive suppression of nonlinear panel flutter using piezoelectric materials with resonant circuit

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Abstract

In this study, a passive suppression scheme for nonlinear flutter problem of composite panel, which is believed to be more reliable than the active control methods in practical operations, is proposed. This scheme utilizes a piezoelectric inductor-resistor series shunt circuit. The finite element equations of motion for an electromechanically coupled system is derived by applying the Hamilton’s principle. The aerodynamic theory adopted for the present study is based on the quasi-steady piston theory, and von-Karrnan nonlinear strain-displacement relation is also applied. The passive suppression results for nonlinear panel flutter are obtained in the time domain using the Newmark-β method. To achieve the best damping effect, optimal share and location of the piezoceramic (PZT) patches are determined by using genetic algorithms. The effects of passive suppression are investigated by employing in turn one shunt circuit and two independent shunt circuits. Feasibility studies show that two independent inductor-resistor shunt circuits suppresses flutter more effectively than a single shunt circuit. The results clearly demonstrate that the passive damping scheme that uses piezoelectric shunt circuit can effectively attenuate the flutter.

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Abbreviations

a :

Panel length

b :

Panel width

c :

Elastic stiffness matrix

d 31 :

Piezoelectric constant (strain/charge)

D 3 :

Electrical displacement (charge/area in thez direction)

h :

Panel thickness

h :

Piezoelectric constant matrix

L :

Inductance

p a :

Freestream aerodynamic pressure

Q :

Charge

R :

Resistance

u, v, w :

Displacements

V 3 :

Applied voltage

V 3max :

Maximum applied voltage

V ∞ :

Freestream velocity

ΔT(x,y,z) :

Temperature change

α:

Thermal expansion coefficient

ε, {ε}:

Strain vectors

k, {k}:

Curvature vector

λ:

Nondimensional acrodynamic pressure

σ, {σ}:

Stress vectors

τ:

Nondimensional time (ω o t)

Φ:

Normal mode vector

D :

At constant electric displacement

S :

At constant strain

t :

At constant stress

T :

Transpose

a :

Air

b :

Bending

h :

Host structure (composite plate)

m :

Membrane

p :

Piezoelectric material

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Authors and Affiliations

  1. Department of Aerospace Engineering, Seoul National University, San 56-1, Shinrim-Dong, Kwanak-Gu, 151-742, Seoul, Korea

    Seong Hwan Moon, Chul Yong Yun & Seung Jo Kim

Authors
  1. Seong Hwan Moon
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  2. Chul Yong Yun
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  3. Seung Jo Kim
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Correspondence to Seung Jo Kim.

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Moon, S.H., Yun, C.Y. & Kim, S.J. Passive suppression of nonlinear panel flutter using piezoelectric materials with resonant circuit. KSME International Journal 16, 1–12 (2002). https://doi.org/10.1007/BF03185150

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  • DOI: https://doi.org/10.1007/BF03185150

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