Weak formulation study for thermoelastic buckling analysis of thick laminated cylindrical shells

• Autorzy: Kewei D.

Identyfikatory

DOI

10.1515/ijame-2015-0031

• Języki publikacji: EN

Abstrakty

EN

Weak formulations of mixed state equations of closed laminated cylindrical shells are presented in the Hamilton System. The Hamilton canonical equation of closed cylindrical shell is established. By means of applying the transfer matrix method and taking the advantage of Hamiltonian matrix in the calculation, a unified approach and three-dimensional thermoelastic solutions are obtained for the buckling analysis of closed trick laminated cylindrical shells. All equations of elasticity can be satisfied and all elastic constants can be taken into account. Numerical results are given to compare with those of FEM calculated using SAP5.The principle and method suggested here have clear physical concepts. The equations and boundary conditions proposed in this paper are weakened. The solutions and results given here may serve as a benchmark for other numerical procedures.

Słowa kluczowe

EN

weak formulations; buckling analysis; laminated cylindrical shells; thermoelastic; Hamilton canonical equation

PL

laminowanie; równanie Hamiltona; termoelastyczność

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2015
• Tom: Vol. 20, no. 3
• Strony: 461--470
• Opis fizyczny: Bibliogr. 29 poz., tab.

Twórcy

autor

Kewei D.

• School of Civil Engineering, Anhui Jianzhu University Hefei 230601, Anhui, P.R. CHINA

Bibliografia

• [1] Brischetto S. (2009): Effect of the through-the-thickness temperature distribution on the response of layered and composite shells. – International Journal of Applied Mechanics, vol.1, No.4, pp.581-605.
• [2] Burgueño Rigoberto, Hu Nan, Heeringa Annelise and Lajnef Nizar (2014): Tailoring the elastic postbuckling response of thin-walled cylindrical composite shells under axial compression. – Thin-Walled Structures, vol.84, pp.14-25.
• [3] Chen W.C. and Liu W.H. (1993): Thermal buckling of antisymmetric angle-ply laminated plates an analytical levy-type solution. – Journal of Thermal Stresses, vol.16, pp.401-419.
• [4] Civalek and Omer (2013): Vibration analysis of laminated composite conical shells by the method of discrete singular convolution based on the shear deformation theory. – Composites Part B: Engineering, vol.45, No.1, pp.1001-1009.
• [5] Ding Kewei (2000): Symplectic algorithm method for Hamiltonian matrix eigenvalue and eigenvector problem. – Journal of Hefei University of Technology, vol.23, No.3, pp.336-340 (in Chinese).
• [6] Ding Kewei (2005): Weak formulation study of thick laminated cylindrical shells. – Shell Structures, Theory and Applications Proceedings of the 8th International Conference on Shell Structures (SSTA 2005), Jurata, Gdansk, Poland, pp. Taylor & Francis , London, pp.97-100.
• [7] Ding Kewei (2008): Weak formulation study for thermoelastic analysis of thick open laminated shell. – Mechanics of Advanced Materials and Structures, vol.15, pp.33-39.
• [8] Ding Kewei (2008): Thermal stresses of weak formulation study for thick laminated shell. – Journal of Thermal Stresses, vol.31, No.4, pp.389-400.
• [9] Ding Kewei (2009): Establishment of weak formulation for the dual system of Hamilton equations. – Journal of Anhui University of Science and Technology, vol.29, No.3, pp.26-30 (in Chinese).
• [10] Ding Kewei and Tang Limin (1997): Exact analysis for axisymmetric vibration and buckling of the thick laminated closed cylindrical shells in a Hamilton system. – Journal of Sound and Vibration, vol.206, No.3, pp.435-441.
• [11] Ding Kewei and Tang Limin (1998): Exact thermoelastic solution for axisymmetric problem of thick closed laminated shells. – Journal of Thermal Stresses, vol.21, No.7, pp.751-761.
• [12] Ding Kewei and Tang Limin (1999): Three-dimensional free vibration of thick laminated cylindrical shells with clamped edges. – Journal of Sound and Vibration, vol.220, No.1, pp.171-177.
• [13] Ding Kewei and Tang Limin (1999): Exact solution for axisymmetric thick laminated shells. – Composite Structures, vol.46, No.2, pp.125-129.
• [14] Hashemian A.H. and Jam J.E. (2010): Nonlinear free dynamic response of laminated compressible cylindrical shell panels. – Mechanics of Composite Materials, vol.46, No.1, pp.15-28.
• [15] Hawkes T.D. and Soldatos K.P. (1992): Three-dimensional axisymmetric vibrations of orthotropic and cross-ply laminated hollow cylinders. – AIAA J., vol.30, pp.1089-1098.
• [16] Hedayati H., Hedayati M., Aragh B. Sobhani and Farahani E. Borzabadi (2014): Two-dimensional differential quadrature solution for vibration characteristics of two-dimensional functionally graded metal/ceramic open cylindrical shells. – Mechanics of Advanced Materials and Structures, vol.21, No.4, pp.305-320.
• [17] Huang N.N. and Tauchert T.R. (1992): Thermal Stresses in Doubly-Curved Cross-Ply Laminates. – International Journal of Solids and Structures, vol.29, pp.991-1000.
• [18] Kardomateas G.A. (1993): Buckling of thick orthotropic cylindrical shells under external pressure. – ASME J. Appl. Mech., vol.60, pp.195-202.
• [19] Khdeir A.A. (1996): Thermoelastic analysis of cross-ply laminated circular cylindrical shells. – International Journal of Solids and Structures, vol.33, No.27, pp.4007-4017.
• [20] Khdeir A.A. (2012): Thermoelastic response of cross-ply laminated shells based on a rigorous shell theory. – Journal of Thermal Stresses, vol.35, No.11, pp.1000-1017.
• [21] Maghami S.A. and Tahani M. (2015): Thermal bending analysis of doubly curved composite laminated shell panels with general boundary conditions and laminations. – Journal of Thermal Stresses, vol.38, No.2, pp.250-270.
• [22] Noor A.K. and Burton W.S. (1996): Computational models for sandwich panels and shells. – Applied Mechanics and Review, vol.49 No.3, pp.155-199.
• [23] Reddy J.N. (1983): Dynamics analysis of layered anisotropic composite material plates. – Int. J. Num. Mech. Engng., vol.192, pp.237-255.
• [24] Reddy J.N. (1984): Exact solution of moderately thick laminated shells. – Journal of Engineering Mechanics Division, vol.111, pp.794-809.
• [25] Soldatos K.P. and Hadjigeorgiou V.P. (1990): Three-dimensional solution of the free vibration problem of homogeneous isotropic cylindrical shells and panels. – J. Sound Vibration, vol.137, pp.369-384.
• [26] Soldatos K.P. and Ye J.Q. (1994): Three-Dimensional Static, Dynamic, Thermoelastic and Buckling Analysis of Homogeneous and Laminated Composite Cylinders. – Composite Structures, vol.29, pp.131-143.
• [27] Srinivas S. and Rao A.K. (1970): Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. – International Journal of Solids and Structures, vol.6, pp.1463-1481.
• [28] Topal Umut and Uzman Umit (2011): Frequency optimization of laminated skewed open cylindrical shells. – Science and Engineering of Composite Materials, vol.18, No.3, pp.139-144.
• [29] Yao Guo and Li Feng-Ming (2014): The stability analysis and active control of a composite laminated open cylindrical shell in subsonic airflow. – Journal of Intelligent Material Systems and Structures, vol.25, No.3, pp.259-270.