22 ? Propriétés mécaniques et géométriques de la plaque sandwich a coeur en Bibliographie [1] K. Ramkumar and N. Ganesan. Vibration and damping of composite sandwich box column with viscoelastic/electrorheological fluid core and performance comparison, Materials & Design, vol.3, issue.8, pp.302981-2994, 2009. ,
A study on material damping of 0?? laminated composite sandwich cantilever beams with a viscoelastic layer, Composite Structures, vol.60, issue.4, pp.367-374, 2003. ,
DOI : 10.1016/S0263-8223(03)00051-5
Vibration and damping analysis of curved sandwich beams with a visoelastic core, Composite Structures, vol.10, issue.3, pp.231-245, 1988. ,
DOI : 10.1016/0263-8223(88)90021-9
An amplitude equation for the nonlinear vibration of viscoelastically damped sandwich beams, Journal of Sound and Vibration, vol.271, pp.3-5789, 2004. ,
Sensitivity analysis and optimal design of geometrically non-linear laminated plates and shells, Computers & Structures, vol.76, issue.1-3, pp.1-3407, 2000. ,
DOI : 10.1016/S0045-7949(99)00164-9
Imperfection sensitivity of pyramidal core sandwich structures, International Journal of Solids and Structures, vol.44, issue.14-15, pp.14-154690, 2007. ,
DOI : 10.1016/j.ijsolstr.2006.11.049
Design sensitivity analysis of non-linear structural systems part i : Theory, International Journal for Numerical Methods in Engineering, vol.24, pp.2039-2055, 1987. ,
Sensitivity analysis of frequency response functions of composite sandwich plates containing viscoelastic layers ,
Sensitivity of structurally loaded sandwich panels to localized ballistic penetration, Composites Science and Technology, vol.69, issue.6, pp.696-703, 2009. ,
DOI : 10.1016/j.compscitech.2008.03.005
URL : https://hal.archives-ouvertes.fr/hal-00521259
A study of the eigenvalue sensitivity by homotopy and perturbation methods, Fourth International Conference on Advanced COmputational Methods in ENgineering, pp.2297-2302, 2008. ,
DOI : 10.1016/j.cam.2009.08.086
Structural Sensitivity Analysis and Optimization 2 Nonlinear Systems and Applications, 2004. ,
The nonlinear perturbation analysis of structural syst` ems, J. Solid Struct, vol.4, pp.757-768, 1968. ,
An asymptotic-numerical method to compute the postbuckling behavior of elastic plates and shells, Int. J ,
Méthode asymptotique numérique :une technique de résolution deséquationsdeséquations non linéaires, 2007. ,
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.45-462983, 2011. ,
DOI : 10.1016/j.cma.2011.06.009
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
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.49-523999, 2009. ,
DOI : 10.1016/j.cma.2009.09.015
Review of options for structural design sensitivity analysis. part 1 : Linear systems Structural and Design Optimization, Computer Methods in Applied Mechanics and Engineering, vol.194, pp.30-333213, 2005. ,
Sensitivity analysis of shape memory alloy shells, Computers & Structures, vol.86, issue.9, pp.964-976, 2008. ,
DOI : 10.1016/j.compstruc.2007.04.019
Postcritical imperfection sensitivity of sandwich or homogenized orthotropic columns soft in shear and in transverse deformation, International Journal of Solids and Structures, vol.43, issue.18-19, pp.18-195501, 2006. ,
DOI : 10.1016/j.ijsolstr.2005.07.040
Analytical sensitivity analysis of geometrically nonlinear structures based on the co-rotational finite element method. Finite Elements in Analysis and Design, pp.900-913, 2006. ,
A gradient method for viscoelastic behaviour identification of damped sandwich structures, Comptes Rendus M??canique, vol.340, issue.8, p.2012 ,
DOI : 10.1016/j.crme.2012.05.001
Evaluating Derivatives, principles and Techniques of Algorithmic Differentiation, Frontiers in Applied Mathematics, vol.19, 2000. ,
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
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.3-4572, 2008. ,
DOI : 10.1016/j.cma.2008.09.003
URL : https://hal.archives-ouvertes.fr/hal-00374092
Application de la Différentiation Automatique pour l'identification, l'optimisation et l'´ etude de sensibilité dans quelquesprobì emes mécaniques, 2011. ,
On higher-order differentiation in non-linear mechanics, Computer Methods in Applied Mechanics and Engineering, pp.1-12, 2011. ,
Sensitivity of solutions computed through the Asymptotic Numerical Method, Comptes Rendus M??canique, vol.336, issue.10, pp.788-793, 2008. ,
DOI : 10.1016/j.crme.2008.09.003
A numerical method for the computation of bifurcation points in fluid mechanics, European Journal of Mechanics - B/Fluids, vol.25, issue.2, pp.234-254, 2006. ,
DOI : 10.1016/j.euromechflu.2005.07.002
URL : https://hal.archives-ouvertes.fr/hal-00493939
Eigensolution reanalysis of modified structures using perturbations and Rayleigh quotients, Communications in Numerical Methods in Engineering, vol.26, issue.2, pp.111-119, 1994. ,
DOI : 10.1002/nme.1620260112
An improved computational thechnic for pertubations of the generalized symmetric linear algebraic eigenvalue problem, int. j. Numer. meth ,
Advances in Automatic Differentiation, 2008. ,
Adol-c, a package for the automatic differentiation of algrithms written in c/c++, ACM T. Math Software, pp.131-167, 1996. ,
Automatic differentiation for matlab programs, Proceedings in Applied Mathemaics and Mechanicx, pp.50-53, 2003. ,
Automatic differentiation : Applications, theory, and tools, Computational Science and Engineering, 2005. ,
Les concepts et les outils de la différentiation automatique appliqués aux simulateurs de procédés, 1996. ,
Using automatic differentiation to compute derivatives for a quantum-chemical computer program, Future Generation Computer Systems, vol.21, issue.8, pp.1324-1332, 2005. ,
DOI : 10.1016/j.future.2004.11.011
The diamant approach for an efficient automatic differentiation of the asymptotic numerical method, Advance in Automatic Differentiation, vol.64, pp.139-149, 2008. ,
A numerical analysis and control of bifurcation in finite problems (i) bifurcationin finite dimension, J Bifurcat Chao, vol.1, pp.493-520, 1991. ,
A high ordre implicit algorithm for solving nonlinear problems, Comput Mech, vol.28, pp.375-380, 2002. ,
Simplicial and continuationmethods for approximatios fixed point solutions to systems of equations, SIAM Rev, vol.22, pp.28-85, 1980. ,
Numerical solution of bifurcation and eignvalue problems, in applications of bifurcation theory, pp.359-384, 1977. ,
Newton-raphson iterative method applied to circularly towed cable-body system, Engineering Structures, vol.1, issue.2, pp.73-80, 1979. ,
A comparison of newton-raphson methods and incremental procedures for geometrically nonlinear analysis, Computers & Structures, vol.4, issue.5, pp.1091-1097, 1974. ,
Asymptotic numerical method for nonlinear constitutive laws. Revue européenne desélémentsdeséléments finis, pp.841-869, 1998. ,
COSY INFINITY and its applications in nonlinear dynamics, Computational Differentiation : Techniques, Applications, and Tools, pp.363-365, 1996. ,
Solving ordinary differential equations using taylor series, ACM Trans. Math. Software, vol.8, pp.114-144, 1982. ,
Efficient high-ordermethods for odes and daes in automatic différentiation 2000 : From simulation to optimization, pp.343-348, 2002. ,
Solving differential-algebric equations by taylor series (i) : Computing taylor coefficients, BIT, vol.45, pp.561-591, 2005. ,
Soliving differential-algebric equations by taylor series (iii) : The daets code, J. Numer Anal Insdust Math, vol.3, pp.61-80, 2008. ,
Xue, and The minpack-2 test problem collection. The minpack-2 test problem collection ,
Paratical Bifurcation and Stability Analysis, Nomber 5, Interdisciplinary Applied Mathematics, 2009. ,
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
Application au contact unilateral, Acte du 9ì eme colloque national en calcul de structure, pp.281-286, 2009. ,
Nonlinear Eigenproblems, SIAM Journal on Matrix Analysis and Applications, vol.20, issue.3, pp.575-595 ,
DOI : 10.1137/S0895479897324172
A simple structural analysis method for deas, BIT, vol.4, pp.364-384, 2001. ,
Taylor series to solve friction problems ,
Vibration of buckled elastic structures with large rotations by an asymptotic numerical method, Computers & Structures, vol.84, issue.3-4, pp.3-493, 2006. ,
DOI : 10.1016/j.compstruc.2005.09.016
Complex modes based numerical analysis of viscoelastic sandwich plates vibrations, Computers & Structures, vol.89, issue.78, pp.539-555, 2011. ,
Asymptoticnumerical method for buckling analysis of shell structures with large rotations ,
A numerical method for the computation of bifurcation points in fluid mechanics, European Journal of Mechanics - B/Fluids, vol.25, issue.2, pp.234-254, 2006. ,
DOI : 10.1016/j.euromechflu.2005.07.002
URL : https://hal.archives-ouvertes.fr/hal-00493939
High-order prediction???correction algorithms for unilateral contact problems, Selected Papers from the Second International Conference on Advanced Computational Methods in Engineering, pp.1-9, 2002. ,
DOI : 10.1016/j.cam.2003.05.015
Numerical Optimization -Theoretical and Practical Aspects, 2006. ,
Symbolic computation of hyperbolicity regions for systems of two-phase flow conservation laws using Maple, Journal of Symbolic Computation, vol.8, issue.3, pp.305-308, 1989. ,
DOI : 10.1016/S0747-7171(89)80072-0
Symbolic differentiation library for simulation of multibody rigid systems, Mathematics and Computers in Simulation, vol.42, issue.4-6, pp.659-673, 1996. ,
DOI : 10.1016/S0378-4754(96)00041-9
On symbolic derivation of the cumulant equations, Computer Physics Communications, vol.168, issue.3, pp.165-176, 2005. ,
DOI : 10.1016/j.cpc.2005.03.106
Différentiation symbolique orientée objets. Master's thesis, Institut Natinal de Recherche en Informatique et en Automatique, 1995. ,
A Taxonomy of Automatic Differentiation Tools Corliss Automatic differentiation of algorithm, theory, implementation and application, 1991. ,
A simple automatic derivative evaluation programs, Communication of ACM, 1964. ,
TAPENADE 2.1 user's guide. Rapport technique 300, 2004. ,
ADIFOR : Generating derivative codes from Fortran programs, Scientific Programming, pp.11-29, 1992. ,
A numerical continuation method based on Pad?? approximants, International Journal of Solids and Structures, vol.37, issue.46-47, pp.46-476981, 2000. ,
DOI : 10.1016/S0020-7683(99)00323-6
Some extensions of Fa?? di Bruno???s formula with divided differences, Computers & Mathematics with Applications, vol.59, issue.6, pp.2047-2052, 2010. ,
DOI : 10.1016/j.camwa.2009.12.009
Global sensitivity analysis : The primer, 2008. ,
An effective screening design for sensitivity analysis of large models, Environmental Modelling & Software, vol.22, issue.10, pp.1509-1518, 2007. ,
DOI : 10.1016/j.envsoft.2006.10.004
From screening to quantitative sensitivity analysis. A unified approach, Computer Physics Communications, vol.182, issue.4, pp.978-988, 2011. ,
DOI : 10.1016/j.cpc.2010.12.039
Screening groups of parameters using the morris method to select parameters for variance based sensitivity analysis, Procedia -Social and Behavioral Sciences, vol.2, issue.6, pp.7755-7756, 2010. ,
Local and Global Sensitivity Analysis for a Reactor Design with Parameter Uncertainty, Chemical Engineering Research and Design, vol.82, issue.5, pp.591-598, 2004. ,
DOI : 10.1205/026387604323142630
Local influence in principal component analysis: relationship between the local influence and influence function approaches revisited, Computational Statistics & Data Analysis, vol.44, issue.1-2, pp.143-160, 2003. ,
DOI : 10.1016/S0167-9473(02)00344-4
Global sensitivity analysis of a process-based model for ammonia emissions from manure storage and treatment structures, Atmospheric Environment, vol.44, issue.30, pp.443621-3629, 2010. ,
DOI : 10.1016/j.atmosenv.2010.06.053
Global sensitivity analysis: A flexible and efficient framework with an example from stochastic hydrogeology, Advances in Water Resources, vol.37, issue.0, pp.10-22, 2012. ,
DOI : 10.1016/j.advwatres.2011.11.001
Numerical sensitivity analysis for aerodynamic optimization : A survey of approaches. Computers & ; Fluids, pp.39373-391, 2010. ,
Parameter sensitivity analysis for a Dr??cker???Prager model following from numerical simulations of indentation tests, Computational Materials Science, vol.44, issue.2, pp.385-391, 2008. ,
DOI : 10.1016/j.commatsci.2008.03.042
Modélisation et conception multiéchelles des matériaux : de la description atomique discréte aux modèles du continu. Application aux propriétés amortissantes des pare-brises, 2008. ,
Modélisation numérique des vibrations linéaires et non linéaires des structures sandwichsàsandwichsàâme viscoélastique, 2010. ,
A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions, Journal of Sound and Vibration, vol.324, issue.1-2, pp.243-262, 2009. ,
DOI : 10.1016/j.jsv.2009.01.054
URL : https://hal.archives-ouvertes.fr/hal-00315288
The effect of facesheet/core delamination in sandwich structures under transverse loading, Composite Structures, vol.54, issue.4, pp.515-521, 2001. ,
DOI : 10.1016/S0263-8223(01)00124-6
Design of an improved four point bending test on a sandwich beam for free edge delamination studies, Composites Part B: Engineering, vol.37, issue.2-3, pp.127-136, 2006. ,
DOI : 10.1016/j.compositesb.2005.07.002
Vibration of sandwich beams with double delaminations, Composites Science and Technology, vol.54, issue.1, pp.101-109, 1995. ,
DOI : 10.1016/0266-3538(95)00050-X
Facesheet delamination of composite sandwich materials at cryogenic temperatures, Composites Science and Technology, vol.66, issue.14, pp.2423-2435, 2006. ,
Experimental evaluation of the vibration behavior of flat and curved sandwich composite beams with face/core debond, Composite Structures, vol.91, issue.1, pp.110-119, 2009. ,
DOI : 10.1016/j.compstruct.2009.04.037
The mathematical theory of elasticity, 1927. ,
URL : https://hal.archives-ouvertes.fr/hal-01307751
Influence of transversase shear deformation on the bending of elastic plates, Journal of Applied Mechanics, vol.12, pp.69-76, 1945. ,
Influence of ratatory inertia effect and shear deformation in flexural motions of isotopic elastic plates, Journal of Applied Mechanics, vol.18, pp.1936-1951, 1951. ,
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.745-752, 1984. ,
DOI : 10.1016/0020-7225(91)90165-Y
Non-linear vibration of composite laminated plates by the hierarchical finite element method, Composite Structures, vol.46, issue.3, pp.197-208, 1999. ,
DOI : 10.1016/S0263-8223(99)00055-0
Random vibration of laminated composite plates with material non-linearity, International Journal of Non-Linear Mechanics, vol.32, issue.4, pp.707-720, 1997. ,
Laminated glass beams : Strength factor and temperature effect, Computers & Structures, vol.84, pp.5-6364, 2006. ,
History of strength of Materials, 1953. ,
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
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
Static and free vibration analysis of laminated glass beam on viscoelastic supports, International Journal of Solids and Structures, vol.44, issue.25-26, pp.25-268735, 2007. ,
DOI : 10.1016/j.ijsolstr.2007.07.009
Méthode desélementsdesélements finis, 2007. ,
A mathematical model for the behavior of laminated glass beams, Computers & Structures, vol.83, pp.21-221742, 2005. ,
Imperfection sensitivity of fiber microbuckling in elastic-nonlinear polymer-matrix composites, International Journal of Solids and Structures, vol.34, issue.13, pp.1667-1679, 1997. ,
DOI : 10.1016/S0020-7683(96)00108-4
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.11-121323, 2003. ,
DOI : 10.1016/S0045-7825(02)00641-2
Free vibration of a three-layered sandwich beam using the dynamic stiffness method and experiment, International Journal of Solids and Structures, vol.44, issue.22-23, pp.22-237543, 2007. ,
DOI : 10.1016/j.ijsolstr.2007.04.024
On the free vibration of sandwich panels with a transversely flexible and temperature-dependent core material ??? Part I: Mathematical formulation, Composites Science and Technology, vol.69, issue.6, pp.856-862, 2009. ,
DOI : 10.1016/j.compscitech.2008.03.003
URL : https://hal.archives-ouvertes.fr/hal-00521258
Modélisation parélementsparélements finis des vibrations non-linéaires des plaques sandwich viscoélastique, Mécanique ind, vol.6, pp.13-20, 2005. ,
Modal analysis of close modes using perturbative sensitivity approach, Engineering Structures, vol.19, issue.6, pp.397-406, 1997. ,
DOI : 10.1016/S0141-0296(96)00078-8
Single step eigen perturbation method for structural dynamic modification, Mechanics Research Communications, vol.22, issue.4, pp.363-369, 1995. ,
DOI : 10.1016/0093-6413(95)00037-R
Subspace and lanczos sparse eigen-solvers for finite element structural and electromagnetic applications Advances in Engineering Software, pp.31-39, 2000. ,
Computing mode shapes of fluid-structure systems using subspace iteration methods, Scientia Iranica, vol.18, issue.6, pp.1159-1169, 2011. ,
DOI : 10.1016/j.scient.2011.09.011
Matrix perturbation theory in structural dynamics, 1993. ,
Asymptotic numerical methods and padé approximants for non-linear elastic structures, International Journal for Numerical Methods in Engineering, vol.37, pp.1187-1213, 1994. ,
Structural reanalysis for general layout modifficatios, AIAA JOURNAL, vol.35, pp.382-388, 1997. ,
Application of padé approximationto mécanique. Mechanics and Pratice, pp.27-29, 1996. ,
EIGENVALUE REANALYSIS OF STRUCTURES USING PERTURBATIONS AND PAD?? APPROXIMATION, Mechanical Systems and Signal Processing, vol.15, issue.2, pp.257-263, 2001. ,
DOI : 10.1006/mssp.2000.1358
Efficient sensitivity analysis for structural optimization, Computer Methods in Applied Mechanics and Engineering, vol.117, issue.1-2, pp.143-156, 1994. ,
DOI : 10.1016/0045-7825(94)90080-9
Combined approximation for reanalysis of complex eigenvalues, Computers & Structures, vol.87, issue.7-8, pp.502-506, 2009. ,
DOI : 10.1016/j.compstruc.2009.01.009
Finding zeros of maps -homotopy methods that are constructive with probability one, Math Comput, vol.32, pp.887-899, 1978. ,
Global homotopies and newton method in recent in numerical analysis, g. h. globub and c. de boor, pp.73-94, 1978. ,
Pathways to solutions fixed points and Equilibria ,
Globally convergent homotopi method-a tutorial, Appl Math Comput, vol.31, pp.369-396, 1989. ,
Simplified calculations of eigenvector derivatives, AIAA JOUR- NAL, vol.14, pp.1201-1205, 1976. ,
Numerical methods for evaluating the derivatives of eigenvalues and eigenvectors, AIAA JOURNAL, vol.13, pp.834-837, 1975. ,
An efficient algebraic method for the computation of natural frequency and mode shape sensitivities???Part II. Multiple natural frequencies, Computers & Structures, vol.62, issue.3, pp.437-443, 1997. ,
DOI : 10.1016/S0045-7949(96)00207-6
An efficient algebraic method for the computation of natural frequency and mode shape sensitivities???Part I. Distinct natural frequencies, Computers & Structures, vol.62, issue.3, pp.429-435, 1997. ,
DOI : 10.1016/S0045-7949(96)00206-4
Identification de propriétés viscoélastiques de matériaux polymères par mesures de reéponse en fréquences de structures, 2007. ,
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
Sensitivity analysis and modification of structural dynamic characteristics using second order approximation, Engineering Structures, vol.25, issue.10, pp.1279-1287, 2003. ,
DOI : 10.1016/S0141-0296(03)00078-6
Comparison of sevral eigenvalue reanalysis methods for modified structures, StructMultidisc Optim, vol.20, pp.253-259, 2000. ,
Complex modes based numerical analysis of viscoelastic sandwich plates vibrations, Computers & Structures, vol.89, issue.7-8, pp.539-555, 2011. ,
DOI : 10.1016/j.compstruc.2011.01.020
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
Hompack, a suite of codes for globally convergent homotopy algorithms, ACM T. Math Software, vol.13, pp.281-310, 1987. ,
Solving nonlinear equations by adaptive homotopy continuation, Applied Mathematics and Computation, vol.41, issue.2, pp.99-115, 1991. ,
DOI : 10.1016/0096-3003(91)90064-T
On the use of the Murakami's zig-zag function in the modeling of layered plates and shells, Computers & Structures, vol.82, issue.7-8, pp.541-554, 2004. ,
DOI : 10.1016/j.compstruc.2004.02.006
Improved bending analysis of sandwich plates using a zig-zag function, Composite Structures, vol.89, issue.3, pp.408-415, 2009. ,
DOI : 10.1016/j.compstruct.2008.09.001
Modeling of frequency dependent viscoelastic materials for active-passive vibration damping, Journal of Vibration and Acoustics, vol.122, issue.2, pp.169-174, 2000. ,
Reduced-Order Finite Element Models of Viscoelastically Damped Beams Through Internal Variables Projection, Journal of Vibration and Acoustics, vol.51, issue.4, pp.501-508, 2006. ,
DOI : 10.1006/jsvi.1998.1872