Damping is a useful parameter for controlling vibration and movement in the design of the structure. In many structural applications, damping provides sufficient energy dissipation by suppressing resonant amplitudes of vibration. The present paper is concerned with the utilization of the finite element-based modal strain energy method for predicting the modal loss factor of laminated composite beams. Finite element analysis is performed to study the effects of layerwise in-plane displacements on specific damping capacity for Duocel aluminum foam core sandwich composite beams. The core was sandwiched between two face sheet graphite/epoxy laminates with a constant thickness. A numerical modelling of the damping response in axisymmetrical conditions was performed using the ABAQUS commercial software. All calculations about the theoretical approach were performed using the MATLAB Version 7.8 (Mathworks Inc.). A good match between the finite element modelling and the theoretical approach was obtained.
PuenteJLZaeraRNavarroC. An analytical model for high velocity impacts on thin CFRPs woven laminated plates. Int J Solids Struct2007; 44: 2837–2851.
2.
BicosASSpringerGS. Analysis of free damped vibration of laminated composite plates and shells. Int J Solids Struct1989; 25: 129–149.
3.
TagarielliVLDeshpandeVSFleckNA. Prediction of the dynamic response of composite sandwich beams under shock loading. Int J Impact Eng2010; 37: 854–864.
4.
GirhammarUAPanDHGustafssonA. Exact dynamic analysis of composite beams with partial interaction. Int J Mech Sci2009; 51: 565–582.
5.
AgirreMMElejabarrietaMJ. Characterisation and modelling of viscoelastically damped sandwich structures. Int J Mech Sci2010; 52: 1225–1233.
6.
YuJWangELiJ. Static and low-velocity impact behavior of sandwich beams with closed-cell aluminum foam core in three-point bending. Int J Impact Eng2008; 35: 885–894.
7.
AhmedTURamachandraLSBhattacharyyaSK. Elasto-plastic response of free-free beams subjected to impact loads. Int J Impact Eng2001; 25: 661–681.
8.
MeoMVignjevicRMarengoG. The response of honeycomb sandwich panels under low-velocity impact loading. Int J Mech Sci2005; 47: 1301–1325.
9.
WaszczyszynZZiemianskiL. Neural networks in mechanics of structures and materials – new results and prospects of applications. Compos Struct2001; 79: 2261–2276.
10.
PeroniLAvalleMPeroniM. The mechanical behaviour of aluminium foam structures in different loading conditions. Int J Impact Eng2008; 35: 644–658.
11.
KyriazoglouCGuildFJ. Finite element prediction of damping of composite GFRP and CFRP laminates – a hybrid formulation – vibration damping experiments and Rayleigh damping. Compos Sci Technol2007; 67: 2643–2654.
12.
NiRGLinDXAdamsRD. The dynamic properties of carbon-glass fiber sandwich-laminated composites. Composites A1984; 15: 297–304.
13.
BerthelotJ-MAngoulvantF. Measuring the bending stiffness of orthotropic and symmetric laminates from flexural vibrations. J Compos Mater2002; 36: 443–475.
14.
KapuriaSAcharyGGS. A coupled zigzag theory for the dynamics of piezoelectric hybrid cross-ply plates. Arch Appl Mech2005; 75: 42–57.
15.
FrostigYBaruchM. Bending of sandwich beams with transversely flexible core. AIAA J1990; 28: 523–531.
16.
YuJLWangXWeiZG. Deformation and failure mechanism of dynamically loaded sandwich beams with aluminium foam core. Int J Impact Eng2003; 28: 331–347.
17.
ZhouDStrongeWJ. Mechanical properties of fibrous core sandwich panels. Int J Mech Sci2005; 45: 775–798.
18.
HaoWFKamTY. Modal characteristics of symmetrically laminated composite plates flexibly restrained at different locations. Int J Mech Sci2009; 51: 443–452.
19.
RudrarajuSSSalviAGarikipatiK. In-plane fracture of laminated fiber reinforced composites with varying fracture resistance: experimental observations and numerical crack propagation simulations. Int J Solids Struct2010; 47: 901–911.
20.
AdamsRDBaconDGC. Effect of fibre orientation and laminate geometry on the dynamic properties of CFRP. J Compos Mater1973; 7: 402–428.
21.
AvalleMBelingardiGMontaniniR. Characterization of polymeric structural foams under compressive impact loading by means of energy-absorption diagram. Int J Impact Eng2001; 25: 455–472.
22.
OhtaYNaritaYNagasakiK. On the damping analysis of FRP laminated composite plates. Compos Struct2002; 57: 169–175.
DohnalFEckerHSpringerH. Enhanced damping of a cantilever beam by axial parametric excitation. Arch Appl Mech2008; 78: 935–947.
25.
YuSCHuangSC. Vibration of a three-layered viscoelastic sandwich circular plate. Int J Mech Sci2001; 43: 2215–2236.
26.
LeeWHHanSC. Free and forced vibration analysis of laminated composite plates and shells using a 9-node assumed strain shell element. Comput Mech2006; 39: 41–58.
27.
ChoMKimJS. Four-noded finite element post-process method using a displacement field of higher-order laminated composite plate theory. Comput Struct1996; 61: 283–290.
28.
PappadàSRamettaRPassaroA. Processing, mechanical properties, and interfacial bonding of a thermoplastic core-foam/composite-skin sandwich panel. Adv Polym Technol2010; 29: 137–145.
29.
WillisJR. Variational and related methods for the overall properties of composites. Adv Appl Mech1981; 21: 1–78.
30.
FereidoonAHazratiARostamiyanY. Non-linear damping behavior of PVC foam core sandwich composite panels in low-velocity impact. Contemp Eng Sci2010; 3: 311–319.
31.
FereidoonAGhoddosianAHazrati NiyariA. Non-linear damping analysis of sandwich composite structures. Contemp Eng Sci2011; 4: 37–42.
32.
RosenAFriedmannPP. The nonlinear behavior of elastic slender straight beams undergoing small strains and moderate rotations. Trans ASME J Appl Mech1979; 46: 161–168.
33.
ThomasODeüJFDucarneJ. Vibrations of an elastic structure with shunted piezoelectric patches: efficient finite element formulation and electromechanical coupling coefficients. Int J Numer Methods Eng2009; 80: 235–268.
34.
BernsteinB. Hypo-elasticity and elasticity. Arch Rat Mech Anal1960; 6: 89–104.
35.
FereidoonARostamiyanYAkbarzadeM. Application of He’s homotopy perturbation method to nonlinear shock damper dynamics. Arch Appl Mech2010; 80: 641–649.
