Elastic instability of a beam resting on an elastic foundation subjected to a partially tangential force

Computers and Structures

Volumn 59, Issue 6, 1996, Pages 983-988

  Lee, Sen Yung ^a   Lin, Ju Chun ^a   Hsu, Kuo Ching ^b  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b Precision Machinery Research and Development Center   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); BOUNDARY CONDITIONS; BUCKLING; DEFLECTION (STRUCTURES); DYNAMICS; ELASTIC MODULI; ELASTICITY; LOADS (FORCES); SPRINGS (COMPONENTS); STABILITY; VIBRATIONS (MECHANICAL);

BERNOULLI-EULER BEAM; ELASTIC FOUNDATION; ELASTIC INSTABILITY; ROTATIONAL SPRING; SPRING CONSTANTS; TANGENCY COEFFICIENT; TRANSLATIONAL SPRING;

BEAMS AND GIRDERS;

EID: 0030174513     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00317-7     Document Type: Article

References (16)

1. V. V. Bolotin, Nonconservative Problems of the Theory of Elastic Stability. Pergamon Press, London (1979).
2. G. Hermann, Stability of equilibrium of elastic systems subjected to nonconservative forces. Appl. Mech. Rev. 20, 103-108 (1967).
3. C. Sundararajan, The vibration and stability of elastic systems subjected to follower forces. Shock Vibr. Digest 7, 89-105 (1975).
4. H. Leipholz, Stability of Elastic System, 1st Edn. Sijthoff and Noordhoff, The Netherlands (1980).
5. H. Ziegler, Principle of Structural Stability. Birkhauser, Basel (1977).
6. G. Dzhanelidze, On the stability of rods due to the action of follower forces. Trudy Leningrad Politeknika Inst. 192, 21-27 (1958).
7. T. E. Smith and G. Herrmann, Stability of a beam on elastic foundation subjected to a follower force. J. appl. Mech. ASME 39, 628-629 (1972).
8. C. Sundararajan, Stability of column on elastic foundations subjected to conservative and non-conservative forces. J. Sound Vibr. 37, 79-85 (1974).
9. S. Y. Lee, Y. H. Kuo and F. Y. Lin, Stability of a Timoshenko beam resting on a Winkler elastic foundation. J. Sound Vibr. 153, 193-202 (1992).
10. C. Sundararajan, Influence of an elastic end support on the vibration and stability of Beck's column. Int. J. mech. Sci. 18, 239-241 (1976).
11. Y. Sugiyama, S. Maeda and H. Kawagoe, Destabilizing effect of elastic constraint on the stability of nonconservative elastic systems. Theor. appl. Mech. 22, 33-45 (1974).
12. Y. Sugiyama, H. Kawagoe and S. Maeda, Destabilizing effect of elastic constraint on the stability of nonconservative elastic systems, II: the effect of elastic support. Theor. appl. Mech. 23, 125-135 (1975).
13. I. Elishakoff and A. Jacoby, Influence of various types of elastic foundation on the divergence and flutter loads of Zieglers model structure. J. appl. Math. Phys. 38, 779-784 (1987).
14. A. N. Kounadis, The existence of divergence instability for nonconservative systems under follower forces. Int. J. Solids Struct. 19, 725-733 (1983).
15. L. Tomski and J. Przybylski, Static instability of an elastically restrained cantilever under a partial follower force. AIAA J. 23, 1637-1639 (1985).
16. S. Y. Lee and K. C. Hsu, Elastic stability of beams subjected to a partially tangential force. J. Sound Vibr. 186, 111-123 (1995).