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Progress in Computational Structures Technology
Edited by: B.H.V. Topping and C.A. Mota Soares
A. Benjeddou
Laboratory for Engineering of Mechanical Systems and Materials, High Institute of Mechanics at Paris, Saint Ouen, France
Keywords: modelling, simulation, adaptive structures, piezoelectric composites.
Since the first experimental proof of electronic passive (shunted) and active
vibration damping of optical bar-like structures using attached piezoelectric patches,
a quarter of century ago [1], researches on adaptive structures have received much
attention, as attested by the numerous reviews [2,3,4],
bibliography [5], surveys [6,7,8]
and assessments [9,]. Careful analysis of this literature indicates that piezoelectric
materials are the most used as actuators and sensors. Hence, modelling and
simulations of adaptive structures and composites with surface-bonded or embedded
(integrated) piezoelectric patches or layers have received a lot of investigations in
particular during the last decade. They were first based on engineering uncoupled
analytical and numerical approaches that mimic the classical techniques used in
elastic structures and composites [,4,7]. Then, rapidly, rigorous mathematical
analyses and difficulties to reproduce some experimental tests have shown that these
simplified methods are not sufficient and can even lead to erroneous
results [2,3,9].
This contribution has then the objective to present and discuss current trends,
during the last half decade, in modelling and simulation of adaptive structures and
composites. For this, multi-physics theoretical formulations are first described for
thermo-electro-mechanical media in the form of fundamental equations and
associated advanced variational principles. Then, current research interests in
analytical and numerical modelling of adaptive structures and composites are
surveyed; focus is made on exact and closed-form analytical solutions, and on finite
element numerical models. Common benchmarking and simulation practices are
also discussed. Finally, some identified future directions for this continuously
growing multidisciplinary research field are outlined.
From the current trends survey, it was noticed that:
- Exact solution developments have focused on beam and plate structural
elements.
- Closed-form solutions for shear-mode piezoceramics were not yet developed
for shells or with the combined state space-asymptotic technique method.
- Finite element (FE) developments are currently concentrated on ESL, HSDT,
and plate models; all proposed FE have focused on the use of extension-
mode piezoelectric materials; thus, no plate or shell FE developments have
been proposed for the shear-mode ones. Also, multi-physics FE models are
still limited to the thermo-electro-elasticity.
- The other numerical approaches have also concerned only extension-mode
piezoelectric materials. Besides, no numerical developments have been made
recently with the boundary element or meshless methods.
These remarks on the current trends can motivate new or further research on the
highlighted presently active topics in modelling and simulation of adaptive
structures and composites. Additional future research directions for this growing
research filed are listed in the corresponding section.
-
- 1
- Forward, R.L., "Electronic damping of vibrations in optical structures", Applied
Optics, 18, 690-697, 1979.
- 2
- Saravanos, D.A., Heyliger, P.R., "Mechanics and computational models for
laminated piezoelectric beams, plates and shells", Applied Mechanics Reviews,
52, 305-320, 1999.
- 3
- Gopinathan, S.V., Varadan, V.V., Varadan, V.K, "A review and critique of
theories for piezoelectric laminates", Smart Materials and Structures, 9, 24-48,
2000.
- 4
- Tauchert, T.R., Ashida, F., Noda, N., Adali, S., Verijenko, V., "Developments in
thermopiezoelectricity with relevance to smart composite structures",
Composite Structures, 31-38, 2000.
- 5
- Mackerle, J., "Smart materials and structures: FEM and BEM simulations - a
bibliography (1997-1999)", Finite Elements in Analysis and Design, 37, 71-83,
2001.
- 6
- Ahmadian, M., DeGuilio, A.P., "Recent advances in the use of piezoceramics for
vibration suppression", Shock and Vibration Digest, 33, 15-22, 2001.
- 7
- Benjeddou, A., "Advances in piezoelectric finite element modelling of adaptive
structural elements: a survey", Computers and Structures, 76, 347-363, 2000.
- 8
- Benjeddou, A., "Advances in hybrid active-passive vibration and noise control
via piezoelectric and viscoelastic constrained layer treatments, Journal of
Vibration and Control, 7, 565-602, 2001.
- 9
- Benjeddou, A., "Modelling of piezoelectric adaptive beam, plate and shell
structures: some developments and results", in "Proceedings of the Sixth
International Conference on Computational Structures Technology", Topping,
B.H.V., Bittnar, Z., (Editors), Civil-Comp Press, Stirling, UK, 2002.
- 10
- Benjeddou, A., "Piezoelectric and viscoelastic constrained layer-based
vibration control: numerical developments and performance evaluation", in
"Proceedings of ACTIVE 2002", Southampton, UK, 2002.
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