论文信息 - Stability of cylindrical shell panels subjected to follower forces based on a mixed finite element formulation

Stability of cylindrical shell panels subjected to follower forces based on a mixed finite element formulation

Abstract A mixed finite element formulation is developed from a weak variational priniciple. This formulation is applied to stability analysis of cylindrical shell structures subjected to follower loading. Bilinear trial functions are used for all field variables. The rectangular curved elements presented here satisfy the continuity requirements for the field variables at the element interface. Two examples of a cantilevered cylindrical shell panel under different kinds of loading are solved.

Wolf Altman | Mauro Gonçalves de Olivbira | W. Altman

[1] Arthur W. Leissa,et al. Vibrations of cantilevered shallow cylindrical shells of rectangular planform , 1981 .

[2] Max Beck,et al. Die Knicklast des einseitig eingespannten, tangential gedrückten Stabes , 1952 .

[3] K. Washizu. Variational Methods in Elasticity and Plasticity , 1982 .

[4] H. Ziegler. Principles of structural stability , 1968 .

[5] V. V. Bolotin,et al. Nonconservative problems of the theory of elastic stability , 1963 .

[6] S. H. Crandall,et al. Direct Variational Methods and Eigenvalue Problems in Engineering , 1976 .

[7] Wolf Altman,et al. Vibration of thin shells of revolution based on a mixed finite element formulation , 1986 .

[8] William Prager. Variational principles for elastic plates with relaxed continuity requirements , 1968 .

[9] E. Reissner. On a Variational Theorem in Elasticity , 1950 .

[10] Leonard R. Herrmann,et al. Finite-Element Bending Analysis for Plates , 1967 .

[11] Wolf Altman,et al. Vibration of thin cylindrical shells based on a mixed finite element formulation , 1978 .

[12] G. Herrmann,et al. Dynamics and stability of mechanical systems with follower forces , 1971 .