A reduction model for eigensolutions of damped viscoelastic sandwich structures

The aim of this paper is to develop a reduction method to determine the modal characteristics of viscoelastic sandwich structures. The method is based on the high order Newton algorithm and reduction techniques. Numerical tests have been performed in the case of sandwich beams and cylindrical shells. The comparison of the results obtained by the reduction method with those given by direct simulation shows both a good agreement and a significant reduction in computational cost.

[1]  Lien-Wen Chen,et al.  Vibration and stability of rotating polar orthotropic sandwich annular plates with a viscoelastic core layer , 2007 .

[2]  Michel Potier-Ferry,et al.  An amplitude equation for the non-linear vibration of viscoelastically damped sandwich beams , 2004 .

[3]  D. K. Rao,et al.  Frequency and Loss Factors of Sandwich Beams under Various Boundary Conditions , 1978 .

[4]  E. Ramm,et al.  Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept , 1994 .

[5]  L. Duigou,et al.  Nonlinear forced vibration of damped plates coupling asymptotic numerical method and reduction models , 2011 .

[6]  Zdzisław Pawlak,et al.  The continuation method for the eigenvalue problem of structures with viscoelastic dampers , 2013 .

[7]  J. R. Banerjee,et al.  Free vibration of a three-layered sandwich beam using the dynamic stiffness method and experiment , 2007 .

[8]  El Mostafa Daya,et al.  Linear and nonlinear vibrations analysis of viscoelastic sandwich beams , 2010 .

[9]  Magnus Alvelid Sixth order differential equation for sandwich beam deflection including transverse shear , 2013 .

[10]  Michel Potier-Ferry,et al.  A shell finite element for viscoelastically damped sandwich structures , 2002 .

[11]  D. Oguamanam,et al.  Forced harmonic response of sandwich plates with viscoelastic core using reduced-order model , 2013 .

[12]  Noureddine Bouhaddi,et al.  Component mode synthesis combining robust enriched Ritz approach for viscoelastically damped structures , 2010 .

[13]  Benoit Nennig,et al.  Harmonic response computation of viscoelastic multilayered structures using a ZPST shell element , 2011 .

[14]  Michel Potier-Ferry,et al.  Iterative algorithms for non-linear eigenvalue problems. Application to vibrations of viscoelastic shells , 2003 .

[15]  Daniel J. Inman,et al.  Model reduction of viscoelastic finite element models , 1999 .

[16]  Sondipon Adhikari,et al.  Iterative Methods for Eigenvalues of Viscoelastic Systems , 2011 .

[17]  Aytac Arikoglu,et al.  Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method , 2010 .

[18]  C. M. Mota Soares,et al.  Finite element model for damping optimization of viscoelastic sandwich structures , 2013, Adv. Eng. Softw..

[19]  J.-F. He,et al.  A finite-element analysis of viscoelastically damped sandwich plates , 1992 .

[20]  El Mostafa Daya,et al.  Review: Complex modes based numerical analysis of viscoelastic sandwich plates vibrations , 2011 .

[21]  S.M.R. Khalili,et al.  High-order free vibration analysis of sandwich beams with a flexible core using dynamic stiffness method , 2012 .

[22]  E. Carrera,et al.  A finite element model using a unified formulation for the analysis of viscoelastic sandwich laminates , 2013 .

[23]  Xi Chen,et al.  Damping Prediction of Sandwich Structures by Order-Reduction-Iteration Approach , 1999 .

[24]  Michel Potier-Ferry,et al.  An iterative process based on homotopy and perturbation techniques , 2000 .

[25]  Michel Potier-Ferry,et al.  A numerical method for nonlinear eigenvalue problems application to vibrations of viscoelastic structures , 2001 .

[26]  Salim Belouettar,et al.  Review and assessment of various theories for modeling sandwich composites , 2008 .

[27]  Hamid Zahrouni,et al.  A multiscale approach for the vibration analysis of heterogeneous materials: Application to passive damping , 2013 .

[28]  R. A. S. Moreira,et al.  Dimensionless analysis of constrained damping treatments , 2013 .

[29]  José Herskovits,et al.  Damping optimisation of hybrid active-passive sandwich composite structures , 2012, Adv. Eng. Softw..