Static Bending Analysis of Foam Filled Orthogonally Rib-Stiffened Sandwich Panels: A Mathematical Model

Subject Areas : Engineering

S Soleimanian ¹ , A Davar ² , J Eskandari Jam ³ , M Heydari Beni ⁴

1 - University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Tehran, Iran
2 - University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Tehran, Iran
3 - University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Tehran, Iran
4 - University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Tehran, Iran

Received: 2019-07-23 Accepted : 2019-09-26 Published : 2019-12-30

Keywords: Composite, Heaviside distribution functions, Galerkin’s method, Sandwich panels, Static bending analysis, Grid stiffened,

Abstract :

The current study presents a mathematical modeling for sandwich panels with foam filled orthogonally rib-stiffened core using Heaviside distribution functions. The governing equations of the static problem have been derived based on classical lamination theory. The present model contains three displacement variables considering all of the stiffness coefficients. A closed form solution using Galerkin’s method is presented for simply supported sandwich panels with foam filled orthogonally rib-stiffened core subjected to uniform lateral static pressure. Compared to previous researches, the present work is comprehensive enough to be used for symmetric, unsymmetric, laminated or filament wound panels with orthogrid stiffeners. The accuracy of the solution is checked both through comparisons with previous works, and the results of simulation with ABAQUS software.

References:

[1] Yetram A.L., Brown C.J., 1985, The elastic stability of square perforated plates, Computers & Structures 21: 1267-1272.
[2] Choi S., Jeong K.H., Kim T.W., Kim K.S., Park K.B., 1998, Free vibration analysis of perforated plates using equivalent elastic properties, Journal of the Korean Nuclear Society 30: 416-423.
[3] Takabatake H., 1991, Static analyses of elastic plates with voids, International Journal of Solids and Structures 28: 179-196.
[4] Rezaeepazhand J., Jafari M., 2005, Stress analysis of perforated composite plates, Composite Structures 71: 463-468.
[5] Li G., Cheng J., 2012, A generalized analytical modeling of grid stiffened composite structures, Composite Structures 94: 1117-1127.
[6] Huang L., Sheikh A.H., Ng C.T., Griffith M.C., 2015, An efficient finite element model for buckling analysis of grid stiffened laminated composite plates, Composite Structures 122: 41-50.
[7] Wodesenbet E., Kidane S., Pang S.S., 2003, Optimization for buckling loads of grid stiffened composite panels, Composite Structures 60: 159-169.
[8] Legault J., Mejdi A., Atalla N., 2011, Vibro-acoustic response of orthogonally stiffened panels: The effects of finite dimensions, Journal of Sound and Vibration 330: 5928-5948.
[9] Priyadharshani S.A., Prasad A.M., Sundaravadivelu R., 2017, Analysis of GFRP stiffened composite plates with rectangular cutout, Composite Structures 169: 42-51.
[10] Nemeth M.P., 2011, A Treatise on Equivalent-Plate Stiffnesses for Stiffened Laminated-Composite Plates and Plate-Like Lattices, NASA TP, Virginia.
[11] Weber M.J., Middendorf P., 2014, Semi-analytical skin buckling of curved orthotropic grid-stiffened shells, Composite Structures 108: 616-624.
[12] Ovesy H.R., Fazilati J., 2012, Buckling and free vibration finite strip analysis of composite plates with cutout based on two different modeling approaches, Composite Structures 94: 1250-1258.
[13] Qin X.C., Dong C.Y., Wang F., Qu X.Y., 2017, Static and dynamic analyses of isogeometric curvilinearly stiffenedplates, Applied Mathematical Modelling 45: 336-364 .
[14] Azhari M., Shahidi A.R., Saadatpour M.M., 2005, Local and post local buckling of stepped and perforated thin plates, Applied Mathematical Modelling 29: 633-652.
[15] John Wilson A., Rajasekaran S., 2014, Elastic stability of all edges simply supported, stepped and stiffened rectangular plate under Biaxial loading, Applied Mathematical Modelling 38: 479-495.
[16] Vasiliev V.V., Barynin V.A., Razin A.F., 2012, Anisogrid composite lattice structures – development and aerospace applications, Composite Structures 94: 1117-1127.
[17] Kaw A.K., 2006, Mechanics of Composite Materials, CRC Press, Taylor & Francis Group, Boca Raton,
[18] Whitney J.M., 1987, Structural Analysis of Laminated Anisotropic Plates, Technomic Publishing Company, Pennsylvania.