119 4.5.1. Validation de l'outil numérique, p.130 ,
Mesure et prédiction vibroacoustique de structures viscoelastiquesFinite element modeling of frequency-dependent material damping using augmenting thermodynamic fieldsTime Domain Modeling of Linear Viscoelasticity Using Anelastic Displacement FieldsDynamics of Viscoelastic Structures?A Time-Domain, Finite Element FormulationModeling of Linear Viscoelastic Space StructuresThe Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-forming LiquidsA Unified Beam Finite Element Model for Extension and Shear Piezoelectric Actuation MechanismsDamping of flexural waves by a constrained viscoelastic layer, Thèse de doctoratTheory of vibratory bending for elastic and viscoelastic layered finitelength beams, pp.1040-1050, 1955. ,
The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions, Journal of Sound and Vibration, vol.10, issue.2, pp.163-175, 1969. ,
DOI : 10.1016/0022-460X(69)90193-X
Review and assessment of various theories for modeling sandwich composites, Composite Structures, vol.84, issue.3, pp.282-292, 2008. ,
DOI : 10.1016/j.compstruct.2007.08.007
Historical review of Zig-Zag theories for multilayered plates and shells, Applied Mechanics Reviews, vol.34, issue.20, pp.287-308, 2003. ,
DOI : 10.1115/1.3172955
The effect of transverse shear deformation on the bending of elastic plates, Journal of Applied Mechanics, vol.12, pp.69-75, 1945. ,
Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates, Journal of Applied Mechanics, vol.18, pp.1031-1036, 1951. ,
DOI : 10.1007/978-1-4613-8865-4_29
A Simple Higher-Order Theory for Laminated Composite Plates, Journal of Applied Mechanics, vol.51, issue.4, pp.745-752, 1984. ,
DOI : 10.1115/1.3167719
An efficient standard plate theory, International Journal of Engineering Science, vol.29, issue.8, pp.901-916, 1991. ,
DOI : 10.1016/0020-7225(91)90165-Y
High-order triangular sandwich plate finite element for linear and non-linear analyses, Computer Methods in Applied Mechanics and Engineering, vol.185, issue.2-4, pp.305-324, 2000. ,
DOI : 10.1016/S0045-7825(99)00264-9
URL : https://hal.archives-ouvertes.fr/hal-01366943
Frequency and Loss Factors of Sandwich Beams under Various Boundary Conditions, Journal of Mechanical Engineering Science, vol.78, issue.5, pp.271-282, 1978. ,
DOI : 10.1121/1.1903243
A finite element analysis of viscoelastically damped sandwich plates, Journal of Sound and Vibration, vol.152, issue.1, pp.107-123, 1992. ,
DOI : 10.1016/0022-460X(92)90068-9
A shell finite element for viscoelastically damped sandwich structures, Revue Europ??enne des ??l??ments Finis, vol.94, issue.1, pp.39-56, 2002. ,
DOI : 10.1115/1.3422825
Electronic damping of resonance in gimbal structures, 22nd Structures, Structural Dynamics and Materials Conference, 1981. ,
DOI : 10.1121/1.1908532
Modelling of Piezoelectric Actuator Dynamics for Active Structural Control, Journal of Intelligent Material Systems and Structures, vol.1, issue.3, pp.327-354, 1990. ,
DOI : 10.1177/1045389X9000100102
On piezoelectric energy conversion for electronic passive damping enhancement, Proceedings of Damping' 91, 1991. ,
Structural vibration damping experiments using improved piezoelctric shunts, Proceedings of the SPIE, pp.40-50, 1997. ,
DOI : 10.1117/12.274217
Vibrations of an elastic structure with shunted piezoelectric patches: efficient finite element formulation and electromechanical coupling coefficients, International Journal for Numerical Methods in Engineering, vol.265, issue.5, pp.235-268, 2009. ,
DOI : 10.1007/978-1-4899-6453-3
URL : https://hal.archives-ouvertes.fr/hal-01572491
Structural-Acoustic Vibration Reduction Using Switched Shunt Piezoelectric Patches: A Finite Element Analysis, Journal of Vibration and Acoustics, vol.25, issue.5, p.51006, 2010. ,
DOI : 10.1177/1045389X06069447
Structural Vibration Reduction by Switch Shunting of Piezoelectric Elements: Modeling and Optimization, Journal of Intelligent Material Systems and Structures, vol.2, issue.8, pp.797-816, 2010. ,
DOI : 10.1115/1.2888213
A survey of recent innovations in vibration damping and control using shunted piezoelectric transducers, IEEE Transactions on Control Systems Technology, vol.11, issue.4, pp.482-494, 2003. ,
DOI : 10.1109/TCST.2003.813371
Electronic control of noise, vibration and reverberation, Journal of the Acoustical Society of America, vol.28, pp.972-976, 1956. ,
Finite Element Modelling of Piezoelectric Active Structures, 2001. ,
Contrôle hybride actif-passif des vibrations de structures par des matériaux piézoélectriques et viscoélastiques: poutres sandwich/multicouches intelligentes, Thèse de doctorat, Conservatoire National des Arts et Métiers, 2001. ,
Modélisation de l'amortissement actif-passif des structures sandwichs, Thèse de doctorat, 2007. ,
Active control of nonlinear vibration of sandwich piezoelectric beams: A simplified approach, Computers & Structures, vol.86, issue.3-5, pp.386-397, 2008. ,
DOI : 10.1016/j.compstruc.2007.02.009
Nonlinear vibration analysis of actively loaded sandwich piezoelectric beams with geometric imperfections, Computers & Structures, vol.86, issue.23-24, pp.2182-2191, 2008. ,
DOI : 10.1016/j.compstruc.2008.06.006
Distributed piezoelectric-polymer active vibration control of a cantilever beam, Journal of Guidance, Control, and Dynamics, vol.26, issue.5, pp.605-611, 1985. ,
DOI : 10.1016/0016-0032(66)90067-6
Use of piezoelectric actuators as elements of intelligent structures, AIAA Journal, vol.25, issue.10, pp.1373-1385, 1987. ,
DOI : 10.1109/T-SU.1970.29543
Experimental Evaluation of Segmented Active Constrained Layer Damping Treatments, Journal of Intelligent Material Systems and Structures, vol.167, issue.2, pp.103-111, 1997. ,
DOI : 10.1088/0964-1726/5/5/012
Use of active constrained-layer damping for controlling resonant vibration, Smart Materials and Structures, vol.4, issue.1, pp.1-6, 1995. ,
DOI : 10.1088/0964-1726/4/1/001
Modelling of a Hybrid Constrained Layer/Piezoceramic Approach to Active Damping, Journal of Vibration and Acoustics, vol.10, issue.1, pp.120-120, 1997. ,
DOI : 10.1115/1.2889679
Hybrid Damping Through Intelligent Constrained Layer Treatments, Journal of Vibration and Acoustics, vol.116, issue.3, pp.341-349, 1994. ,
DOI : 10.1115/1.2930434
A comparison of active, passive and hybrid damping in structural design, Smart Materials and Structures, vol.5, issue.5, pp.660-671, 1996. ,
DOI : 10.1088/0964-1726/5/5/014
A finite element for beams having segmented active constrained layers with frequency-dependent viscoelastics, Smart Materials and Structures, vol.5, issue.5, pp.615-627, 1996. ,
DOI : 10.1088/0964-1726/5/5/010
Vibration Control through Passive Constrained Layer Damping and Active Control, Journal of Intelligent Material Systems and Structures, vol.3045, issue.34, pp.663-677, 1997. ,
DOI : 10.1115/1.2930434
A new active constrained layer configuration with enhanced boundary actions, Smart Materials and Structures, vol.5, issue.5, pp.638-648, 1996. ,
DOI : 10.1088/0964-1726/5/5/012
On the Active-Passive Hybrid Control Actions of Structures With Active Constrained Layer Treatments, Journal of Vibration and Acoustics, vol.II, issue.4, pp.563-563, 1997. ,
DOI : 10.1115/1.2889763
ON THE ANALYSIS OF VISCOELASTIC MATERIALS FOR ACTIVE CONSTRAINED LAYER DAMPING TREATMENTS, Journal of Sound and Vibration, vol.207, issue.3, pp.319-334, 1997. ,
DOI : 10.1006/jsvi.1997.1106
Active Control of Laminated Plates Using a Piezoelectric Finite Element, Mechanics of Advanced Materials and Structures, vol.15, issue.3-4, pp.276-290, 2008. ,
DOI : 10.1002/(SICI)1097-0207(19961030)39:20<3453::AID-NME9>3.0.CO;2-7
URL : https://hal.archives-ouvertes.fr/hal-01366936
Optimal Placement of Piezoelectric Actuators on Plate Structures for Active Vibration Control Using Modified Control Matrix and Singular Value Decomposition Approach, International Journal of Mechanical, Aerospace, Industrial and Mechatronics Engineering, vol.7, pp.169-174, 2013. ,
A CONTROLLABILITY INDEX FOR OPTIMAL DESIGN OF PIEZOELECTRIC ACTUATORS IN VIBRATION CONTROL OF BEAM STRUCTURES, Journal of Sound and Vibration, vol.242, issue.3, pp.507-518, 2001. ,
DOI : 10.1006/jsvi.2000.3357
Coupled Layerwise Analysis of Composite Beams with Embedded Piezoelectric Sensors and Actuators, Journal of Intelligent Material Systems and Structures, vol.4, issue.3, pp.350-363, 1995. ,
DOI : 10.1177/002199839102500405
A two-dimensional closed-form solution for the free-vibrations analysis of piezoelectric sandwich plates, International Journal of Solids and Structures, vol.39, issue.6, pp.1463-1486, 2002. ,
DOI : 10.1016/S0020-7683(01)00287-6
Interaction of structure vibration and piezoelectric actuation, Smart Materials and Structures, vol.3, issue.4, pp.494-500, 1994. ,
DOI : 10.1088/0964-1726/3/4/012
Anisotropic Actuation with Piezoelectric Fiber Composites, Journal of Intelligent Material Systems and Structures, vol.6, issue.3, pp.338-349, 1995. ,
DOI : 10.1016/0025-5408(78)90185-X
Advances in piezoelectric finite element modeling of adaptive structural elements: a survey, Computers & Structures, vol.76, issue.1-3, pp.347-363, 2000. ,
DOI : 10.1016/S0045-7949(99)00151-0
Free-vibration analysis of laminated plates with embedded shear-mode piezoceramic layers, International Journal of Solids and Structures, vol.42, issue.7, pp.2059-2088, 2005. ,
DOI : 10.1016/j.ijsolstr.2004.09.003
Piezoelectric Transverse Shear Actuation and Sensing of Plates, Part 1: A Three-Dimensional Mixed State Space Formulation, Journal of Intelligent Material Systems and Structures, vol.90, issue.7, pp.435-449, 2001. ,
DOI : 10.1088/0964-1726/8/1/003
Piezoelectric Transverse Shear Actuation and Sensing of Plates, Part 2: Application and Analysis, Journal of Intelligent Material Systems and Structures, vol.12, issue.7, pp.451-467, 2001. ,
DOI : 10.1088/0964-1726/8/1/003
Modeling of an active constrained layer damper, 12th International Congress on Acoustics, pp.24-31, 1986. ,
Some design considerations for active and passive constrained layer damping treatments, Smart Materials and Structures, vol.5, issue.3, pp.301-313, 1996. ,
DOI : 10.1088/0964-1726/5/3/008
A self-sensing active constrained layer damping treatment for a Euler - Bernoulli beam, Smart Materials and Structures, vol.5, issue.5, pp.628-637, 1996. ,
DOI : 10.1088/0964-1726/5/5/011
Optimization of energy dissipation characteristics of active constrained layer damping, Smart Materials and Structures, vol.6, issue.3, pp.360-368, 1997. ,
DOI : 10.1088/0964-1726/6/3/014
Finite element model for active constrained layer damping, SPIE Conference on Active Materials and Smart Structures, pp.124-139, 1995. ,
ROBUST CONTROL OF ACTIVE CONSTRAINED LAYER DAMPING, Journal of Sound and Vibration, vol.211, issue.3, pp.467-480, 1998. ,
DOI : 10.1006/jsvi.1997.1315
Closed loop finite-element modeling of active/passive damping in structural vibration control, Smart Materials and Structures, vol.5, issue.5, pp.685-694, 1996. ,
DOI : 10.1088/0964-1726/5/5/016
Optimum Design and Control of Active Constrained Layer Damping, Journal of Vibration and Acoustics, vol.116, issue.B, pp.135-144, 1995. ,
DOI : 10.1115/1.2838655
Implementation of a user defined piezoelectric shell element for analysis of active structures, Finite Elements in Analysis and Design, vol.52, pp.11-12, 2012. ,
DOI : 10.1016/j.finel.2011.11.006
Modeling of piezoelectric smart structures by implementation of a User Defined shell finite element, Mechanical Engineering, vol.11, pp.1-12, 2013. ,
User defined finite element for modeling and analysis of active piezoelectric shell structures, Meccanica, vol.49, issue.1, pp.1763-1774, 2014. ,
DOI : 10.1007/978-94-017-3319-9
Efficient and accurate multilayer solid-shell element: non-linear materials at finite strain, International Journal for Numerical Methods in Engineering, vol.36, issue.15, pp.2124-2170, 2005. ,
DOI : 10.1017/CBO9781139172400
Optimal solid shells for non-linear analyses of multilayer composites. I. Statics, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.9-10, pp.975-1016, 2003. ,
DOI : 10.1016/S0045-7825(02)00435-8
Optimal solid shells for non-linear analyses of multilayer composites. II. Dynamics, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.9-10, pp.1017-1059, 2003. ,
DOI : 10.1016/S0045-7825(02)00336-5
A geometrically non-linear piezoelectric solid shell element based on a mixed multi-field variational formulation, International Journal for Numerical Methods in Engineering, vol.5, issue.3, pp.349-382, 2006. ,
DOI : 10.1002/nme.1447
A piezoelectric solid shell element based on a mixed variational formulation for geometrically linear and nonlinear applications, Computers & Structures, vol.86, issue.1-2, pp.38-46, 2008. ,
DOI : 10.1016/j.compstruc.2007.05.032
A ferroelectric and ferroelastic 3D hexahedral curvilinear finite element, International Journal of Solids and Structures, vol.48, issue.1, pp.87-109, 2011. ,
DOI : 10.1016/j.ijsolstr.2010.09.007
A piezoelectric 3D hexahedral curvilinear finite element based on the space fiber rotation concept, International Journal for Numerical Methods in Engineering, vol.73, issue.1, pp.87-115, 2012. ,
DOI : 10.1016/0045-7825(89)90098-4
Free vibration analysis of homogeneous piezoelectric structures using specific hexahedral elements with rotational DOFs, Acta Mechanica, vol.39, issue.15, pp.1737-1756, 2014. ,
DOI : 10.1016/S0020-7683(02)00081-1
Formulation, développement et validation d'éléments finis de type coques volumiques sous-intégrés stabilisés utilisables pour des problèmes à cinématique et comportement non linéaires, Arts et Métiers ParisTech, 2009. ,
Analysis of thick and thin shell structures by curved finite elements, International Journal for Numerical Methods in Engineering, vol.6, issue.3, pp.419-451, 1970. ,
DOI : 10.1680/iicep.1968.32703
A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration, Computer Methods in Applied Mechanics and Engineering, vol.20, issue.3, pp.323-350, 1979. ,
DOI : 10.1016/0045-7825(79)90007-0
Linear and nonlinear stability analysis of cylindrical shells, Computers & Structures, vol.12, issue.4, pp.549-558, 1980. ,
DOI : 10.1016/0045-7949(80)90130-3
A resultant 8-node solid-shell element for geometrically nonlinear analysis, Computational Mechanics, vol.35, issue.5, pp.315-331, 2005. ,
DOI : 10.1007/s00466-004-0606-9
Incompatible Displacement Models, pp.43-57, 1973. ,
DOI : 10.1016/B978-0-12-253250-4.50008-7
A non-conforming element for stress analysis, International Journal for Numerical Methods in Engineering, vol.101, issue.6, pp.1211-1219, 1976. ,
DOI : 10.1016/B978-0-12-253250-4.50008-7
Reduced integration technique in general analysis of plates and shells, International Journal for Numerical Methods in Engineering, vol.4, issue.2, pp.275-290, 1971. ,
DOI : 10.1002/nme.1620030211
Reduced and selective integration techniques in the finite element analysis of plates, Nuclear Engineering and Design, vol.46, issue.1, pp.203-222, 1978. ,
DOI : 10.1016/0029-5493(78)90184-X
Generalization of selective integration procedures to anisotropic and nonlinear media, International Journal for Numerical Methods in Engineering, vol.3, issue.9, pp.1413-1418, 1980. ,
DOI : 10.1002/nme.1620150914
A class of mixed assumed strain methods and the method of incompatible modes, International Journal for Numerical Methods in Engineering, vol.1, issue.8, pp.1595-1638, 1990. ,
DOI : 10.1002/nme.1620290802
An efficient flexurally superconvergent hexahedral element, Engineering Computations, vol.101, issue.4, pp.281-288, 1987. ,
DOI : 10.1016/0045-7825(85)90074-X
A multiple-quadrature eight-node hexahedral finite element for large deformation elastoplastic analysis, Computer Methods in Applied Mechanics and Engineering, vol.154, issue.1-2, pp.69-132, 1998. ,
DOI : 10.1016/S0045-7825(97)00106-0
A uniform strain hexahedron and quadrilateral with orthogonal hourglass control, International Journal for Numerical Methods in Engineering, vol.2, issue.5, pp.679-706, 1981. ,
DOI : 10.1016/B978-0-12-253250-4.50008-7
Hourglass control in linear and nonlinear problems, Computer Methods in Applied Mechanics and Engineering, vol.43, issue.3, pp.251-276, 1984. ,
DOI : 10.1016/0045-7825(84)90067-7
An efficient formulation of hexahedral elements with high accuracy for bending and incompressibility, Computers & Structures, vol.26, issue.3, pp.453-467, 1987. ,
DOI : 10.1016/0045-7949(87)90046-0
Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes, International Journal for Numerical Methods in Engineering, vol.29, issue.7, pp.1413-1449, 1992. ,
DOI : 10.1002/nme.1620330705
Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems, Computer Methods in Applied Mechanics and Engineering, vol.110, issue.3-4, pp.359-386, 1993. ,
DOI : 10.1016/0045-7825(93)90215-J
Three-dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept, International Journal for Numerical Methods in Engineering, vol.68, issue.2, pp.2551-2568, 1994. ,
DOI : 10.1007/978-3-322-93983-8
On enhanced strain methods for small and finite deformations of solids, Computational Mechanics, vol.38, issue.1/2, pp.413-428, 1996. ,
DOI : 10.1002/nme.1620380411
Enhanced assumed strain elements and locking in membrane problems, Computer Methods in Applied Mechanics and Engineering, vol.165, issue.1-4, pp.155-174, 1998. ,
DOI : 10.1016/S0045-7825(98)00037-1
Development of shear locking-free shell elements using an enhanced assumed strain formulation, International Journal for Numerical Methods in Engineering, vol.61, issue.3, pp.1721-1750, 2002. ,
DOI : 10.1016/0045-7825(85)90035-0
SHB8PS??????a new adaptative, assumed-strain continuum mechanics shell element for impact analysis, Computers & Structures, vol.80, issue.9-10, pp.791-803, 2002. ,
DOI : 10.1016/S0045-7949(02)00047-0
URL : https://hal.archives-ouvertes.fr/hal-00454967
Elastoplastic stability analysis of shells using the physically stabilized finite elementSHB8PS, International Journal for Numerical Methods in Engineering, vol.3, issue.9, pp.1299-1322, 2003. ,
DOI : 10.1016/S0045-7949(99)00053-X
Contributions à la prédiction d'instabilités de type structure et matériau : modélisation de critères et formulation d'éléments finis adaptés à la simulation des structures minces, 2009. ,
An improved assumed strain solid??????shell element formulation with physical stabilization for geometric non-linear applications and elastic??????plastic stability analysis, International Journal for Numerical Methods in Engineering, vol.74, issue.13, pp.1640-1686, 2009. ,
DOI : 10.12989/sem.2004.17.1.113
URL : https://hal.archives-ouvertes.fr/hal-01206312
Limit-point buckling analyses using solid, shell and solid-shell elements, Journal of Mechanical Science and Technology, vol.40, issue.5, pp.1105-1117, 2011. ,
DOI : 10.1016/j.finel.2003.11.001
URL : https://hal.archives-ouvertes.fr/hal-00656452
A new assumed strain solid-shell formulation ???SHB6??? for the six-node prismatic finite element, Journal of Mechanical Science and Technology, vol.25, issue.9, pp.2345-2364, 2011. ,
DOI : 10.1007/s12206-011-0305-3
URL : https://hal.archives-ouvertes.fr/hal-01206008
Application of the continuum shell finite element SHB8PS to sheet forming simulation using an extended large strain anisotropic elastic???plastic formulation, Archive of Applied Mechanics, vol.3, issue.3, pp.1269-1290, 2012. ,
DOI : 10.1002/nme.1620030211
URL : https://hal.archives-ouvertes.fr/hal-00800281
New quadratic solid???shell elements and their evaluation on linear benchmark problems, Computing, vol.28, issue.5, pp.373-394, 2013. ,
DOI : 10.1002/nme.1620280210
URL : https://hal.archives-ouvertes.fr/hal-01206680
Assumed strain stabilization of the eight node hexahedral element, Computer Methods in Applied Mechanics and Engineering, vol.105, issue.2, pp.225-260, 1993. ,
DOI : 10.1016/0045-7825(93)90124-G
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.39-41, pp.4135-4195, 2005. ,
DOI : 10.1016/j.cma.2004.10.008
URL : https://hal.archives-ouvertes.fr/hal-01513346
Isogeometric analysis : Toward Integration of CAD and FEA, 2009. ,
DOI : 10.1002/9780470749081
Isogeometric analysis of nearly incompressible large strain plasticity, Computer Methods in Applied Mechanics and Engineering, vol.268, pp.388-416, 2014. ,
DOI : 10.1016/j.cma.2013.09.024
URL : https://hal.archives-ouvertes.fr/hal-00938598
and projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.33-40, pp.2732-2762, 2008. ,
DOI : 10.1016/j.cma.2008.01.012
URL : https://hal.archives-ouvertes.fr/hal-00457010
Development of a mixed displacement-stress formulation for the analysis of elastoplastic structures under small strains: Application to a locking-free, NURBS-based solid-shell element, Computer Methods in Applied Mechanics and Engineering, vol.295, pp.543-561, 2015. ,
DOI : 10.1016/j.cma.2015.07.012
Efficient isogeometric NURBS-based solid-shell elements: Mixed formulation and <mml:math altimg="si9.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="true">??</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math>-method, Computer Methods in Applied Mechanics and Engineering, vol.267, pp.86-110, 2013. ,
DOI : 10.1016/j.cma.2013.08.002
Loss Factors of Viscoelastically Damped Beam Structures, The Journal of the Acoustical Society of America, vol.34, issue.8, pp.1082-1089, 1962. ,
DOI : 10.1121/1.1918249
Damping of Flexural Vibrations of Sandwich Plates, Journal of the Aerospace Sciences, vol.29, issue.07, pp.790-803, 1962. ,
Governing Equations for Vibrating Constrained-Layer Damping Sandwich Plates and Beams, Journal of Applied Mechanics, vol.39, issue.4, pp.1041-1046, 1972. ,
DOI : 10.1115/1.3422825
Vibrations of unsymmetrical sandwich beams and plates with viscoelastic cores, Journal of Sound and Vibration, vol.34, issue.3, pp.309-326, 1974. ,
DOI : 10.1016/S0022-460X(74)80315-9
Forced harmonic response of viscoelastic structures by an asymptotic numerical method, Computers & Structures, vol.87, issue.1-2, pp.91-100, 2009. ,
DOI : 10.1016/j.compstruc.2008.08.006
Vibration and damping analysis of a three-layered composite plate with a viscoelastic mid-layer, Journal of Sound and Vibration, vol.183, issue.1, pp.99-114, 1995. ,
DOI : 10.1006/jsvi.1995.0241
The Galerkin element method applied to the vibration of damped sandwich beams, Computers & Structures, vol.71, issue.3, pp.239-256, 1999. ,
DOI : 10.1016/S0045-7949(98)00242-9
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, Journal of Research of the National Bureau of Standards, vol.45, issue.4, pp.255-282, 1950. ,
DOI : 10.6028/jres.045.026
URL : https://hal.archives-ouvertes.fr/hal-01712947
The principle of minimized iterations in the solution of the matrix eigenvalue problem, Quarterly of Applied Mathematics, vol.9, issue.1, pp.17-29, 1951. ,
DOI : 10.1090/qam/42792
URL : https://hal.archives-ouvertes.fr/hal-01712943
Finite Element Procedures in Engineering Analysis, Journal of Pressure Vessel Technology, vol.106, issue.4, 1982. ,
DOI : 10.1115/1.3264375
Subspace iteration for complex symmetric eigenproblems, Journal of Sound and Vibration, vol.184, issue.4, pp.627-637, 1995. ,
DOI : 10.1006/jsvi.1995.0337
Finite element prediction of damping in structures with constrained viscoelastic layers, 22nd Structures, Structural Dynamics and Materials Conference, pp.1284-1290, 1982. ,
DOI : 10.1243/JMES_JOUR_1978_020_047_02
Damping Prediction of Sandwich Structures by Order-Reduction-Iteration Approach, Journal of Sound and Vibration, vol.222, issue.5, pp.803-812, 1999. ,
DOI : 10.1006/jsvi.1998.2131
A numerical method for nonlinear eigenvalue problems application to vibrations of viscoelastic structures, Computers & Structures, vol.79, issue.5, pp.533-541, 2001. ,
DOI : 10.1016/S0045-7949(00)00151-6
Iterative algorithms for non-linear eigenvalue problems. Application to vibrations of viscoelastic shells, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.11-12, pp.1323-1335, 2003. ,
DOI : 10.1016/S0045-7825(02)00641-2
A generic approach for the solution of nonlinear residual equations. Part I: The Diamant toolbox, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.3-4, pp.572-577, 2008. ,
DOI : 10.1016/j.cma.2008.09.003
URL : https://hal.archives-ouvertes.fr/hal-00374092
A generic approach for the solution of nonlinear residual equations. Part II: Homotopy and complex nonlinear eigenvalue method, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.49-52, pp.3999-4004, 2009. ,
DOI : 10.1016/j.cma.2009.09.015
A generic approach for the solution of nonlinear residual equations. Part III: Sensitivity computations, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.45-46, pp.2983-2990, 2011. ,
DOI : 10.1016/j.cma.2011.06.009
Diff??rentiation automatique de la m??thode asymptotique num??rique typ??e : l'approche Diamant, Comptes Rendus M??canique, vol.336, issue.3, pp.336-340, 2008. ,
DOI : 10.1016/j.crme.2007.11.022
Linear and nonlinear vibrations analysis of viscoelastic sandwich beams, Journal of Sound and Vibration, vol.329, issue.23, pp.4950-4969, 2010. ,
DOI : 10.1016/j.jsv.2010.06.012
Active vibration control of frame structures with smart structures using piezoelectric actuators (Vibration control by control of bending moments of columns), Smart Materials and Structures, vol.6, pp.448-456, 1997. ,
Optimal placement and active vibration control for piezoelectric smart flexible cantilever plate, Journal of Sound and Vibration, vol.301, issue.3-5, pp.521-543, 2007. ,
DOI : 10.1016/j.jsv.2006.10.018
Piezoelectric actuator orientation optimization for static shape control of composite plates, Composite Structures, vol.55, issue.2, pp.169-184, 2002. ,
DOI : 10.1016/S0263-8223(01)00144-1
Shape control of smart composite plate with non-rectangular piezoelectric actuators, Composite Structures, vol.66, issue.1-4, pp.207-214, 2004. ,
DOI : 10.1016/j.compstruct.2004.04.039
Voltage and evolutionary piezoelectric actuator design optimisation for static shape control of smart plate structures, Materials & Design, vol.28, issue.2, pp.387-399, 2007. ,
DOI : 10.1016/j.matdes.2005.09.023
Active noise control of flexible linkage mechanism with piezoelectric actuators, Computers & Structures, vol.81, issue.20, pp.2045-2051, 2003. ,
DOI : 10.1016/S0045-7949(03)00230-X
Scattering and active acoustic control from a submerged piezoelectric-coupled orthotropic hollow cylinder, Journal of Sound and Vibration, vol.318, issue.1-2, pp.50-73, 2008. ,
DOI : 10.1016/j.jsv.2008.04.005
A new acoustic transducer with a pressure-deformed piezoelectric diaphragm, Sensors and Actuators A: Physical, vol.179, pp.204-210, 2012. ,
DOI : 10.1016/j.sna.2012.03.001
Self-Powered Cardiac Pacemaker Enabled by Flexible Single Crystalline PMN-PT Piezoelectric Energy Harvester, Advanced Materials, vol.13, issue.28, pp.4880-4887, 2014. ,
DOI : 10.1021/nl303539c
Impedance-Based Health Monitoring of Civil Structural Components, Journal of Infrastructure Systems, vol.6, issue.4, pp.153-160, 2000. ,
DOI : 10.1061/(ASCE)1076-0342(2000)6:4(153)
Applications of Piezoelectric Materials in Structural Health Monitoring and Repair: Selected Research Examples, Materials, vol.30, issue.12, pp.5169-5194, 2010. ,
DOI : 10.1177/147592170400300401
Piezoelectric transducers for assessing and monitoring civil infrastructures, pp.86-120, 2014. ,
DOI : 10.1533/9780857099136.86
Finite element method for piezoelectric vibration, International Journal for Numerical Methods in Engineering, vol.37, issue.2, pp.151-157, 1970. ,
DOI : 10.1109/T-SU.1968.29457
An Improved Reissner-Mindlin-Type Model for the Electromechanical Analysis of Multilayered Plates Including Piezo-Layers, Journal of Intelligent Material Systems and Structures, vol.5, issue.3, pp.232-248, 1997. ,
DOI : 10.2514/6.1989-1160
Optimal control of active structures with piezoelectric modal sensors and actuators, Smart Materials and Structures, vol.6, pp.403-403, 1997. ,
A thin piezoelectric hexahedron finite element applied to design of smart continua, Finite Elements in Analysis and Design, vol.16, issue.1, pp.27-42, 1994. ,
DOI : 10.1016/0168-874X(94)90038-8
A numerical method for nonlinear complex modes with application to active???passive damped sandwich structures, Engineering Structures, vol.31, issue.2, pp.284-291, 2009. ,
DOI : 10.1016/j.engstruct.2008.08.008
Assessment of a layerwise mixed least-squares model for analysis of multilayered piezoelectric composite plates, Computers & Structures, vol.108, issue.109, pp.108-109, 2012. ,
DOI : 10.1016/j.compstruc.2012.04.002
Analysis of piezoelastic structures with laminated piezoelectric triangle shell elements, AIAA Journal, vol.1, issue.4, pp.110-115, 1996. ,
DOI : 10.1109/ROBOT.1989.100221
A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part II?smart structure modelling, International Journal for Numerical Methods in Engineering, vol.37, issue.4, pp.565-582, 2000. ,
DOI : 10.1002/nme.1620371306
Use of thickness-shear mode in adaptive sandwich structures, Smart Materials and Structures, vol.4, pp.202-202, 1995. ,
Formulation of an adaptive sandwich beam, Smart Materials and Structures, vol.5, pp.814-814, 1996. ,
Piezoelectric induced bending and twisting of laminated composite shallow shells, Smart Materials and Structures, vol.9, issue.4, pp.476-484, 2000. ,
DOI : 10.1088/0964-1726/9/4/310
Nonlinear vibration of viscoelastic sandwich beams by the harmonic balance and finite element methods, Journal of Sound and Vibration, vol.329, issue.20, pp.4251-4265, 2010. ,
DOI : 10.1016/j.jsv.2010.04.021
URL : https://hal.archives-ouvertes.fr/hal-00493122
A finite element model using a unified formulation for the analysis of viscoelastic sandwich laminates, Composites Part B: Engineering, vol.45, issue.1, pp.1258-1264, 2013. ,
DOI : 10.1016/j.compositesb.2012.05.012
A combined honeycomb and solid viscoelastic material for structural damping applications, Mechanics of Materials, vol.35, issue.8, pp.831-844, 2003. ,
DOI : 10.1016/S0167-6636(02)00210-7
Vibration and acoustical properties and sandwich composite materials, 2006. ,
Effects of Thickness on Damping in Foam-filled Honeycomb-core Sandwich Beams, presented at the IMAC-XXV: Conference & Exposition on Structural Dynamics, 2007. ,
Fabrication and mechanical testing of glass fiber entangled sandwich beams: A comparison with honeycomb and foam sandwich beams, Composite Structures, vol.90, issue.4, pp.404-412, 2009. ,
DOI : 10.1016/j.compstruct.2009.04.003
Amortissement non-linéaire des structures sandwichs à matériau d'âme en fibres enchevêtrées, Thèse de doctorat, 2014. ,
Méthodes multi-échelles pour la modélisation des vibrations de structures à matériaux composites viscoélastiques, Thèse de doctorat, 2015. ,
Modélisation numérique de l'amortissement passif et actif des tôles sandwich comportant des couches viscoélastiques ou piézoélectriques, Thèse de doctorat, 2002. ,
Optimum piezoelectric patch positioning: A strain energy???based finite element approach, Journal of Intelligent Material Systems and Structures, vol.128, issue.22, pp.1575-1591, 2012. ,
DOI : 10.1007/s10409-008-0190-x
LQR vibration control of piezoelectric composite plates, pp.375-386, 2001. ,
A LQR Controller Design for Active Vibration Control of Flexible Structures, Computational Intelligence and Industrial Application PACIIA '08. Pacific-Asia Workshop on, pp.127-132, 2008. ,
LQR Control for Vibration Suppression of Piezoelectric Integrated Smart Structures, PAMM, vol.12, issue.1, pp.695-696, 2012. ,
DOI : 10.1016/j.compstruc.2006.01.026
Comparison between a large bandwidth LQG and modal controlmethods applied to complex flexible structure, presented at the 2nd International Conference on Active Control in Mechanical Engineering, 1997. ,
PIEZOELECTRIC ACTIVE VIBRATION CONTROL OF DAMPED SANDWICH BEAMS, Journal of Sound and Vibration, vol.246, issue.4, pp.653-677, 2001. ,
DOI : 10.1006/jsvi.2001.3712
AN ASYMPTOTIC-NUMERICAL METHOD FOR LARGE-AMPLITUDE FREE VIBRATIONS OF THIN ELASTIC PLATES, Journal of Sound and Vibration, vol.220, issue.4, pp.695-727, 1999. ,
DOI : 10.1006/jsvi.1998.1953
NON-LINEAR FORCED VIBRATIONS OF PLATES BY AN ASYMPTOTIC???NUMERICAL METHOD, Journal of Sound and Vibration, vol.252, issue.4, pp.657-674, 2002. ,
DOI : 10.1006/jsvi.2002.4049
A numerical continuation method based on Pad?? approximants, International Journal of Solids and Structures, vol.37, issue.46-47, pp.6981-7001, 2000. ,
DOI : 10.1016/S0020-7683(99)00323-6
A finite element evaluation of single-layer and multi-layer theories for the analysis of laminated plates, Composite Structures, vol.30, issue.4, pp.427-440, 1995. ,
DOI : 10.1016/0263-8223(94)00065-4
Free vibration analysis of sandwich cylindrical panel with functionally graded core using three-dimensional theory of elasticity, Composite Structures, vol.113, pp.23-30, 2014. ,
DOI : 10.1016/j.compstruct.2014.03.004
Buckling analysis of functionally graded materials structures with enhanced solid-shell elements and transverse shear correction, Composite Structures, vol.132, pp.87-97, 2015. ,
DOI : 10.1016/j.compstruct.2015.04.059
Finite element analysis of a multilayer piezoelectric actuator taking into account the ferroelectric and ferroelastic behaviors, International Journal of Engineering Science, vol.44, issue.15-16, pp.996-1006, 2006. ,
DOI : 10.1016/j.ijengsci.2006.05.013
An efficient finite element model for static and dynamic analyses of functionally graded piezoelectric beams, Composite Structures, vol.104, pp.71-84, 2013. ,
DOI : 10.1016/j.compstruct.2013.04.010
URL : https://hal.archives-ouvertes.fr/hal-01366919
Finite element method for the feedback control of FGM shells in the frequency domain via piezoelectric sensors and actuators, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.3-5, pp.257-273, 2004. ,
DOI : 10.1016/j.cma.2003.09.009
Active control of FGM plates with integrated piezoelectric sensors and actuators, International Journal of Solids and Structures, vol.38, issue.9, pp.1641-1655, 2001. ,
DOI : 10.1016/S0020-7683(00)00050-0
Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, 2008. ,
DOI : 10.1137/1.9780898717761
Modélisation numérique des vibrations linéaires et non linéaires des structures sandwichs à âme viscoélastique, Thèse de doctorat, 2010. ,