On the elastic stability of uniform beams and circular arches under nonconservative loading

International Journal of Solids and Structures

Volumn 37, Issue 39, 2000, Pages 5505-5515

  Detinko, F M ^a  

^a 3098 G Whisper Lake Lane ^*  (United States)

Author keywords

Arch; Nonlinear; Stability; Subdomain collocation

Indexed keywords

ARCHES; BEAMS AND GIRDERS; DEFLECTION (STRUCTURES); DEFORMATION; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; STRUCTURAL LOADS;

INFINITESIMAL STABILITY; NONCONSERVATIVE LOADING; SUBDOMAIN COLLOCATION METHOD;

STRUCTURAL ANALYSIS;

EID: 0033714692     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00229-2     Document Type: Article

References (11)

1. Beck M. Die Knicklast des einseitig eingespannten, tangential gedrückten Stabes. Zeitschrift für angewandte Mathematik und Physik. 3:1952;225-228.
2. Bolotin V.V. Nonconservative Problems of the Theory of Elastic Stability. 1963;Pergamon Press, Oxford. (English translation edited by G. Herrmann).
3. Bolotin V.V., Zhinzher N.I. Effect of damping on stability of elastic systems subjected to nonconservative forces. Int. J. Solids Structures. 5:1969;965-989.
4. Chernykh, K.F., 1986. Non-Linear Theory of Elasticity (in Russian). Mashinostroenie.
5. Denisov G.G., Novikov V.V. On the stability of a rod under follower force (in Russian). Mekhanika Tverdogo Tela. 1:1975;150-154.
6. Detinko F.M. Circular arch with no instability. Int. J. Solids Structures. 35:1998;3213-3220.
7. Herrmann G. Stability of equilibrium of elastic systems subjected to nonconservative forces. AMR. 20:1967;103-108.
8. Kounadis A.N. On the paradox of the destabilizing effect of damping in non-conservative systems. Int. J. Non-Linear Mechanics. 27:1992;597-609.
9. Simmonds J.G. Accurate nonlinear equations and a perturbation solution for the free vibrations of a circular elastic ring. Journal of Applied Mechanics. 46:1979;156-160.
10. Vitaliani R.V., Gasparini A.M., Saetta A.V. Finite element solution of the stability problem for nonlinear undamped and damped systems under nonconservative loading. Int. J. Solids Structures. 34:1997;2497-2516.
11. Zienkiewicz O.C., Taylor R.L. The Finite Element Method. 1989;McGraw-Hill, New York.