Combined load buckling for cylindrical shells based on a symplectic elasticity approach

• Autorzy: Sun J. , Xu X. , Lim C. W.

Identyfikatory

DOI

10.15632/jtam-pl.54.3.705

• Języki publikacji: EN

Abstrakty

EN

Buckling behavior of cylindrical shells subjected to combined pressure, torsion and axial compression is presented by employing a symplectic method. Both symmetric and non- -symmetric boundary conditions are considered. Hamiltonian canonical equations are established by introducing four pairs of dual variables. Then, solution of fundamental equations is converted into a symplectic eigenvalue problem. It is concluded that the influence of pressure on buckling solutions is more significant than that due to compressive load, in particular for a longer external pressured cylindrical shell. Besides, buckling loads and circumferential wavenumbers can be reduced greatly by relaxed in-plane axial constraints.

Słowa kluczowe

EN

buckling mode; combined loads; critical load; cylindrical shell; symplectic method

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 3
• Strony: 705--716
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Sun J.

• State Key Laboratory of Structure Analysis for Industrial Equipment and School of Ocean Science and Technology, Dalian University of Technology, Panjin, P.R. China

autor

Xu X.

• State Key Laboratory of Structure Analysis of Industrial Equipment and Department for Engineering Mechanics, Dalian University of Technology, Dalian, P.R. China

autor

Lim C. W.

• Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong, P.R. China

Bibliografia

• 1. Anastasiadis J.S., Tabiei A., Simitses G.J., 1994, Instability of moderately thick, laminated cylindrical shells under combined axial compression and pressure, Composite Structures, 27, 4, 367-378
• 2. Kardomateas G.A., Philobos M.S., 1995, Buckling of thick orthotropic cylindrical shells under combined external pressure and axial compression, AIAA Journal, 33, 10, 1946-1953
• 3. Ley R.P., Johnson E.R., Guerdal Z., 1994, Buckling of imperfect, anisotropic, ring-stiffened cylinders under combined loads, AIAA Journal, 32, 6, 1302-1309
• 4. Mao R.J., Lu G., 2001, Plastic buckling of circular cylindrical shells under combined in-plane loads, International Journal of Solids and Structures, 38, 741-757
• 5. Shen H.S., Xiang Y., 2008, Buckling and postbuckling of anisotropic laminated cylindrical shells under combined axial compression and torsion, Composite Structures, 84, 375-386
• 6. Sun J.B., Xu X.S., Lim C.W., 2014, Buckling of cylindrical shells under external pressure in a Hamiltonian system, Journal of Theoretical and Applied Mechanics, 52, 3, 641-653
• 7. Tafreshi A., 2006, Delamination buckling and postbuckling in composite cylindrical shells under combined axial compression and external pressure, Composite Structures, 72, 401-418
• 8. Vaziri A., Estekanchi H.E., 2006, Buckling of cracked cylindrical thin shells under combined internal pressure and axial compression, Thin-Walled Structures, 44, 141-151
• 9. Winterstetter T.A., Schmidt H., 2002, Stability of circular cylindrical steel shells under combined loading, Thin-Walled Structures, 40, 893-909
• 10. Xu X.S., Ma Y., Lim C.W., Chu H.J., 2006, Dynamic buckling of cylindrical shells subject to an axial impact in a symplectic system, International Journal of Solids and Structures, 43, 3905-3919
• 11. Yamaki N., 1984, Elastic Stability of Circular Cylindrical Shells, North Holland, Amsterdam/New York/Oxford
• 12. Zhong W.X., 2004, Duality System in Applied Mechanics and Optimal Control, Kluwer Academic Publishers, Boston

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.