Stability of a circular ring in postcritical equilibrium states with two deformation-dependent loads and geometrical imperfections

• Autorzy: Kozak I. , Szabo T.
• Języki publikacji: EN

Abstrakty

EN

The circular ring is linearly elastic and its cross-section is rectangular. Two deformation dependent distributed loads, that is follower loads, are applied simultaneously on the outer surface of the ring. The first load is a uniform pressure on the whole outer surface. The second load is uniform normal traction exerted on two surface parts situated in axially symmetric positions. Both loads are selfequilibrated independently from each other. A nonlinear FE program with 3D elements is used for the numerical analysis of a geometrically perfect and two imperfect rings. Displacement control is used in the equilibrium iterations. Equilibrium surfaces are determined in the space of three parameters such as one characteristic displacement coordinate, and two load factors. The stability analysis is performed in the knowledge of the equilibrium surfaces.

Słowa kluczowe

EN

deformation dependent loads; displacement control; equilibrium surface

PL

powierzchnia równowagi

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2002
• Tom: Vol. 9, No. 2
• Strony: 291--308
• Opis fizyczny: Bibliogr. 18 poz., rys., wykr.

Twórcy

autor

Kozak I.

• University of Miskolc, Department of Mechanics, H-3515 Miskolc-Egyetemváros, Hungary

autor

Szabo T.

• Hungarian Academy of Sciences, University of Miskolc, Numerical Research Group, H-3515 Miskolc-Egyetemváros, Hungary

Bibliografia

• [1] J.L. Batoz, G. Dhatt. Incremental displacement algorithms nonlinear problems. Int. J. Num. Meths. Engng., 14: 1262-1267, 1979.
• [2] H. Bufler. Pressure loaded structures under large deformations. ZAMM, 64: 287-295, 1984.
• [3] G.A. Cohen. Conservativeness of normal pressure field acting on a shell. AIAA J., 4: 1886, 1966.
• [4] M.A. Crisfield. Non-linear Finite Element Analysis of Solids and Structures, Volume 2. Wiley, London, 1997.
• [5] K. Huseyin. Nonlinear theory of elastic stability. Nordhoff, 1975.
• [6] M. Kleiber. Stability problems and methods. In: M. Kleiber, ed., Handbook of Computational Solid Mechanics, 253-333. Springer-Verlag, 1998.
• [7] I. Kozak. Conservativeness of follower surface loads and the stiffness matrix of FE analysis. Publ. Univ. Miskolc. Series C, Mechanical Engineering, 50: 41-54, 1999.
• [8] I. Kozak, F. Nandori, T. Szabó. FE analysis of geometrically nonlinear static problems with follower loads. CA MES, 6: 369-383, 1999.
• [9] M. Kurutz. Modification of the structural tangent stiffness due to nonlinear configuration-dependent conservative loading. CAMES, 3: 367-388, 1996.
• [10] M. Kurutz. Postbifurcation equilibrium paths modified by nonlinear configuration-dependent conservative loading using non smooth analysis. Mech. Struct. and Mach., 25(4): 445-476, 1997.
• [11] H.A. Mang. Symmetricability of pressure stiffness matrices of shells with loaded free edges. Int. J. Num. Meths. Engng., 15: 15-30, 1981.
• [12] M. Marcinowsky. Large deflections of shells subjected to external load and temperature changes. Int. J. Solids Structures, 34(6): 755-768, 1997.
• [13] D.P. Molk, W.A. Wall, M. Bischoff, E. Ramm. Algorithmic aspects of deformation dependent loads in non-linear static finite element analysis. Engineering Computations, 16(5): 601-618, 1999.
• [14] G. Powell, J. Simons. Improved iteration strategy for nonlinear structures. Int. J. Num. Meths. Engng., 17: 1455-1467, 1981.
• [15] K.H. Schweizerhof, E. Ramm. Displacement dependent pressure loads in nonlinear finite element analysis. Comp. Struct., 18: 1099-1114, 1984.
• [16] J.M.T. Thompson, G.W. Hunt. Elastic Instability Phenomena. Wiley, London, 1984.
• [17] P. Wriggers. Numerical methods in nonlinear finite element procedures. In: P. Wriggers, W. Wagner, eds., Nonlinear Computational Mechanics, 47-192. Springer-Verlag, 1991.
• [18] P. Wriggers. Continuum mechanics, nonlinear finite element techniques and computational stability. In: E. Stein, ed., Progress in computational analysis of inelastic structures, 245-287. Springer-Verlag, 1993.