Abstract
In this paper a mathematical model based on a multi-scale asymptotic technique for the dynamic description of honeycomb structures is presented. The technique is used to evaluate an equivalent orthotropic model of the honeycomb. The derivation is based on an asymptotic analysis for periodic structures developed by Bensoussan, Lions and Papanicolaou. The method is totally general; in fact, it is applied to Cauchy’s partial differential equations that describes the dynamics of an elastic material. Elastic and density characteristics are determined in terms of the cell geometry and material of the honeycomb. A numerical validation is carried out by using a finite-element modeling (FEM) numerical simulation.
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References
Gibson L.J., Ashby M.F. (1995). Cellular Solids. University Press, Cambridge
Triplett M.H., Schonberg W.P. (1998). Static and dynamic finite element analysis of honeycomb sandwich structures. Struct. Eng. Mech. 6: 95–113
Wierzbicki E., Wozniak Cz. (2000). On the dynamic behavior of honeycomb based composite solids. Acta Mech. 141: 161–172
Renji K., Nair P.S., Narayanan S. (1996). Modal density of composite honeycomb sandwich panels. J Sound Vib. 195: 687–699
Bensoussan, A., Lions, J.L., Papanicolaou, G.: Asymptotic analysis for periodic structures. North-Holland, Amsterdam (1978)
Mei C.C., Aurialt J.L. (1989). Mechanics of heterogenious porus media with several spatial scales. Proc. R. Soc. Lond. A 426: 391–423
Tong P., Mei C.C. (1992). Mechanics of composites of multiple scales. Comput. Mech. 9: 135–210
Shi G., Tong P. (1995). The derivation of equivalent constitutive equation of honeycomb structures by a two scale method. Comput. Mech. 15: 395–407
Frank Xu X., Qiao P., Davalos J.F. (2001). Transverse Shear Stifness of Composites Honeycomb Core with General Configuartion. J. Eng. Mech. 127: 1144–1151
Green A.E., Naghdy P.M. (1964). A general theory of elastic-plastic continuum. Arch. Ration. Mech. 18: 251–281
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Guj, L., Sestieri, A. Dynamic modeling of honeycomb sandwich panel. Arch Appl Mech 77, 779–793 (2007). https://doi.org/10.1007/s00419-007-0121-5
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DOI: https://doi.org/10.1007/s00419-007-0121-5