Vibrations of Stiffened Composite Panels With Smart Materials

[+] Author and Article Information
Kevin C. Poulin

The Office of James Ruderman LLP, 15 W. 36th Street, New York, NY 10018

Rimas Vaicaitis

Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY 10027

J. Vib. Acoust 126(3), 370-379 (Jul 30, 2004) (10 pages) doi:10.1115/1.1760566 History: Received March 01, 2003; Revised December 01, 2003; Online July 30, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.


Banks, H. T., Silcox, R. J., and Smith, R. C., 1992, “The Modeling and Control of Acoustic/structure Interaction Problems via Piezoceramic Actuators: 2-d Numerical Examples,” Active Control of Noise and Vibration, ASME, Vol. 38 , pp. 83–94.
Balachandran,  B., Sampath,  A., and Park,  J., 1996, “Active Control of Interior Noise in a Three-dimensional Enclosure,” Smart Mater. Struct., 5(1), pp. 89–97.
Crawley,  E. F., and de Luis,  J., 1987, “Use of Piezoelectric Actuators as Elements of Intelligent Structures,” AIAA J., 25(10), pp. 1373–1385.
Koshigoe,  S., and Murdock,  J. W., 1993, “A Unified Analysis of Both Active and Passive Damping for a Plate with Piezoelectric Transducers,” J. Acoust. Soc. Am., 93(1), pp. 346–355.
Fuller,  C. R., Rogers,  C. A., and Robertshaw,  H. H., 1992, “Control of Sound Radiation with Active/adaptive Structures,” J. Sound Vib., 157(1), pp. 19–39.
Crawley,  E. F., 1994, “Intelligent Structures for Aerospace: A Technology Overview and Assessment,” AIAA J., 32(8), pp. 1689–1699.
Stanway,  R., Sproston,  J. L., and El-Wahed,  A. K., 1996, “Applications of Electrorheological Fluids in Vibration Control: A Survey,” Smart Mater. Struct., 5(4), pp. 464–482.
Park,  C., and Chopra,  I., 1996, “Modeling Piezoceramic Actuation of Beams in Torsion,” AIAA J., 34(12), pp. 2582–2589.
Rahn,  C. D., and Joshi,  S., 1998, “Modeling and Control of an Electrorheological Sandwich Beam,” ASME J. Vibr. Acoust., 120, pp. 221–227.
Yalcintas,  M., and Coulter,  J. P., 1995, “An Adaptive Beam Model with Electrorheological Material Based Applications,” J. Intell. Mater. Syst. Struct., 6(4), pp. 498–507.
Choi,  Y., Sprecher,  A. F., and Conrad,  H., 1990, “Vibration Characteristics of a Composite Beam Containing an Electrorheological Fluid,” J. Intell. Mater. Syst. Struct., 1, pp. 91–104.
Yang,  J. S., and Tiersten,  H. F., 1997, “Elastic Analysis of the Transfer of Shearing Stress from Partially Electroded Piezoelectric Actuators to Composite Plates in Cylindrical Bending,” Smart Mater. Struct., 6(3), pp. 333–340.
Sung,  C. K., Chen,  T. F., and Chen,  S. G., 1996, “Piezoelectric Modal Sensor/actuator Design for Monitoring/generating Flexural and Torsional Vibrations of Cylindrical Shells,” Trans. ASME, 118, pp. 48–55.
Goh,  C. J., and Caughey,  T. K., 1985, “On the Stability Problem Caused by Finite Actuator Dynamics in the Collocated Control of Large Space Structures,” Int. J. Control, 41(3), pp. 787–802.
Wang,  C. Y., and Vaicaitis,  R., 1998, “Active Control of Vibrations and Noise of Double Wall Cylindrical Shells,” J. Sound Vib., 216(5), pp. 865–888.
Dogan,  V., and Vaicaitis,  R., 1999, “Active Control of Nonlinear Cylindrical Shell Vibrations,” J. Intell. Mater. Syst. Struct., 10(5), pp. 422–429.
Oz,  H., and Meirovitch,  L., 1983, “Stochastic Independent Modal-space Control of Distributed-parameter Systems,” J. Optim. Theory Appl., 40(1), pp. 121–154.
Meirovitch,  L., and Oz,  H., 1984, “Digital Stochastic Control of Distributed-parameter Systems,” J. Optim. Theory Appl., 43(2), pp. 307–325.
Meirovitch,  L., and Baruh,  H., 1982, “Control of Self-adjoint Distributed-parameter Systems,” J. Guid. Control 5(1), pp. 60–66.
Bai,  M. R., and Lin,  G. M., 1996, “The Development of a DSP-based Active Small Amplitude Vibration Control System for Flexible Beams by Using the LQG Algorithms and Intelligent Materials,” J. Sound Vib., 198(4), pp. 411–427.
Kwakernaak, H., and Sivan, R., 1972, Linear Optimal Control Systems, John Wiley and Sons, New York.
Meditch, J. S., 1969, Stochastic Optimal Linear Estimation and Control, McGraw-Hill, New York.
Meirovitch, L., 1990, Dynamics and Control of Structures, John Wiley and Sons, New York.
Meirovitch,  L., and Baruh,  H., 1981, “Effect of Damping on Observation Spillover Instability,” J. Optim. Theory Appl., 35(1), pp. 31–44.
Lindberg,  R. E., and Longman,  R. W., 1984, “On the Number and Placement of Actuators for Independent Modal Space Control,” Journal of Guidance, 7(2), pp. 215–221.
Lin,  Y. K., and Donaldson,  B. K., 1969, “A Brief Survey of Transfer Matrix Techniques with Special Reference to the Analysis of Aircraft Panels,” J. Sound Vib., 10(1), pp. 103–143.
Lyrintzis,  C. S., and Vaicaitis,  R., 1989, “Random Response and Noise Transmission of Discretely Stiffened Composite Panels,” J. Aircr., 27(2), pp. 176–184.
Lin, Y. K., 1967, Probabilistic Theory of Structural Dynamics, McGraw-Hill, New York.
Dosch,  J. J., Inman,  D. J., and Garcia,  E. E., 1992, “A Self-Sensing Piezoelectric Actuator for Collocated Control,” J. Intell. Mater. Syst. Struct., 3, pp. 166–185.
Poulin, K. C., 1999, “Active Control of Random Vibrations of Stiffened Composite Panels Using Intelligent Materials,” Ph.D. thesis, Columbia University, New York, NY.
Lee,  C. K., 1990, “Theory of Laminated Piezoelectric Plates for the Design of Distributed Sensors/actuators. Part I: Governing Equations and Reciprocal Relationships,” J. Acoust. Soc. Am., 87(3), pp. 1144–1158.
Mahjoob, M. J., Martin, H. R., and Ismail, F., 1993, “Distributed Vibration Control Using Electrorheological Fluids,” Proceedings of the 11th International Modal Analysis Conference, pp. 768–774.
Mead,  D. J., and Markus,  S., 1969, “The Forced Vibration of a Three-layer, Damped Sandwich Beam with Arbitrary Boundary Conditions,” J. Sound Vib., 10(2), pp. 163–175.
Gamota,  D. R., and Filisko,  F. E., 1991, “Dynamic Mechanical Studies of Electrorheological Materials: Moderate Frequencies,” J. Rheol., 35(3), pp. 399–425.
Mikulas, M. M., and McElman, J. A., 1965, “On Free Vibrations of Eccentrically Stiffened Cylindrical Shells and Flat Plates,” NASA Technical Report TN D-3010.
Shinozuka,  M., and Jan,  C. M., 1972, “Digital Simulation of Random Processes and Its Applications,” J. Sound Vib., 25(1), pp. 111–128.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1992, Numerical Recipes in C: The Art of Scientific Computing, Cambridge University Press, Cambridge, UK.
Amorosi, J., 1997, “Active Control of Vibrations and Noise by Electrorheological Fluids and Piezoelectric Materials,” Ph.D. thesis, Columbia University, New York, NY.


Grahic Jump Location
Stiffened multi-spanned panel system
Grahic Jump Location
Piezoelectric control diagram
Grahic Jump Location
Panel and piezoelectric strips of panel bay j
Grahic Jump Location
Sandwich-beam stiffener geometry
Grahic Jump Location
Displacement response spectral density by the transfer matrix method
Grahic Jump Location
Root-mean-square displacement for various stiffener voltages
Grahic Jump Location
First frequency band mode shapes with and without ER fluid effect
Grahic Jump Location
Displacement time histories for a baseline panel, PZT, and ER fluid control
Grahic Jump Location
Displacement response spectral densities of PZT and ER fluid control
Grahic Jump Location
Displacement response spectral density comparison for different numbers of piezoelectric devices
Grahic Jump Location
Displacement response spectral density for different numbers of PZT actuators and active ER fluid in both stiffeners




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In