The effect of Winkler-Pasternak Foundation coefficient on buckling of composite conical Lattice structure under compressive axial load

Document Type : Research Paper

Authors

1 Department of Aerospace Eng., Islamic Azad University, Science and Research Branch, Tehran, Iran

2 Department of Aerospace Eng. Islamic Azad University, Science and Research Branch tehran, Iran

Abstract

In this study the ultimate amount of buckling load applied to the composite conical lattice structure located on the Winkler-Pasternak foundation has been investigated and compared by two analytical and finite elements methods. First, the governing equations of the conical lattice structure were obtained and then, by placing the conical lattice structure on the Winkler-Pasternak foundation, the governing equations were derived analytically. The effect of foundation stiffness coefficient on the behavior of conical lattice structures has been investigated analytically by considering different values. As the number of ribs and their cross section increases, the strength of the structure increases and by assuming that the conical lattice structure resting on the Winkler-Pasternak foundation, the amount of buckling load will increase and with increasing stiffness coefficient for the spring in the foundation, the buckling load resistance decreases. By comparing the analytical results and the finite element method, it can be seen that the analytical method and the obtained formula have a suitable accuracy for investigating the buckling of the lattice structure on the Winkler-Pasternak foundation.

Keywords

References

[1] V.J. Weingarten, E.J. Morgan, P. Seide, Elastic Stability of Thin-Walled Cylindrical and Conical Shells under Axial Compression, AIAA J., Vol. 3, No.3, pp. 500-505, 1965.
[2] E.V. Morozov, A.V. Lopatin, V.A. Nesterov, Buckling analysis and design of anisogrid composite lattice conical shells, Comoposite Structures, Vol.93, No.1, pp. 3150-3162, 1993.
[3] Januky N., Knight N.F., Ambur D.R., Optimal design of general stiffened composite circular cylinders for global buckling with strength constraints, Composite Structure, vol. 41, No. 3-4, 1998, pp. 243-252.
[4] T.D. Kim, Fabrication and Testing of Thin Composite Isogrid Stiffened Panel, Composite Structure, Vol. 49, pp. 21-25, 2000.
[5] A.H. Sofiyev, A. Valiyev, P. Ozyigit., The Buckling of Non-Homogeneous Truncated Conical Shells under a Lateral Pressure and Resting on a Winkler Foundation, Journal of Solid Mechanics, Vol. 1, No.1, pp.14-21, 2009.
[6] G. Totaro, Z. Gürdal, Optimal Design of Composite Lattice Shell Structures for Aerospace
Applications, Journal of Aerospace Science and Technology, Vol. 13, pp. 157-164. 2009.
[7] A. H. Sofiyev, N. Kuruoglu, H. M. Halilov, The vibration and stability of non-homogeneous orthotropic conical shells with clamped edges subjected to uniform external pressures, Applied Mathematical Modeling, Journal of Applied Mathematical Modelling, Vol.34, No.7, pp.1807-1822, 2010.
[8] H. Sofiyev, The buckling of FGM truncated conical shells subjected to axial compressive load and resting on Winkler-Pasternak Foundations, International Journal of Pressure Vessels and Piping, Vol.87, pp.753-761,2010.
[9] J. Reddy, Nonlocal Nonlinear Formulations for Bending of Classical and Shear Deformation Theories of Beams and Plates, International Journal of Engineering Science, Vol.48, No.11, pp.1507-1518, 2010.
[10] J. E. Jam, M. Noorabadi, H. Taghavian, M. Mohammadi, N. Namdaran, Design of anisogrid composite lattice conical shell structures, Research Journal of Applied Sciences, Vol.7, No 9, pp 435-443, 2013.
[11] A.M. Najafov, A.H. Sofiyev, D. Hui, Z. Karaca, V. Kalpakci and M. Ozcelik, Stability of EG cylindrical shells with shear stresses on a Pasternak foundation, Steel and Composite Structures, Vol. 17, No.4, pp.453-470, 2014.
[12] A. A. Naderi, G. H. Rahimi, Simple Method for Buckling Load of Composite Conical Lattice Structures Under Axial Load, Engineering, Vol. 14, No. 15, pp. 290-298, 2015 (In Persian).
[13] M.R. Zamani, S.M.R. Khalili, The Effect of External Skin on Buckling Strength of Composite Lattice Cylinders Based on Numerical and Experimental Analysis, Mechanics of Advance Composite Structures, Vol.3, No.2, pp.83-87, 2016.
[14] H. Deng, K. Chen, W. Cheng, S. Zhao, Vibration and buckling analysis of double-functionally graded Timoshenko beam system on Winkler-Pasternak elastic foundation, Composite Structures, Vol.160, No.1, pp. 152–168, 2017.
[15] S. K. Anisetti, Torsional Buckling Response of Open Cross Section Structures Lying on Winkler-Pasternak Soil Via Dynamic Matrix Method, International Journal of Civil Engineering and Technology, Vol. 8, Issue 8, pp. 398–407, 2017.
[16] S.A. Ghalehdari, A.H. Hashemian, J.E. Jam, A. Atarian, A New Approach to Buckling Analysis of Lattice Composite Structures, Journal of Solid Mechanics, Vol. 9, No. 3, pp. 599-607, 2017.
[17] D. S. Ghahfarokhi, G. H. Rahimi, Prediction of the Critical Buckling Load of Stiffened Composite Cylindrical Shells with Lozenge Grid Based on the Nonlinear Vibration Analysis, Modares Mechanical Engineering, Vol. 18, No. 04, pp. 135-143, 2018 (in Persian).
[18] G. Belardi Valerio, F. Pierluigi, V. Francesco, Design, analysis and optimization of anisogrid composite lattice conical shells, Composites Part B, Vol.150, pp. 184-195, 2018.
[19] Zarei M., G.H. Rahimi, M. Hemmatnezhad, Global buckling analysis of laminated sandwich conical shells with reinforced lattice cores based on the first-order shear deformation theory, International Journal of Mechanical Sciences, Vol.187, pp.105-872, 2020.

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