论文信息 - Elastic instability of a beam resting on an elastic foundation subjected to a partially tangential force

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

The influence of the tangency coefficient, the elastic foundation and the elastically restrained boundary conditions on the elastic instability of a uniform Bernoulli-Euler beam is investigated. It is shown that at both ends of the beam, if any one of the two elastic spring constants is infinite then the tangency coefficient will have no influence on the critical load of the beam. For a clamped-elastic springs supported beam, it is found that the regions of flutter instability increase, when the elastic foundation modulus is increased and the tangential coefficient may either increase or reduce the stability of the system, depending upon the elastic foundation modulus, the translational spring and the rotational spring constants.

[1] C. Sundararajan,et al. The Vibration and Stability of Elastic Systems Subjected to Follower Forces , 1975 .

[2] C. Sundararajan,et al. Influence of an elastic end support on the vibration and stability of Beck's column , 1976 .

[3] Sen-Yung Lee,et al. Stability of a Timoshenko beam resting on a Winkler elastic foundation , 1992 .

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

[5] Anthony N. Kounadis. The existence of regions of divergence instability for nonconservative systems under follower forces , 1983 .

[6] A. S. Vol'mir. Stability of elastic systems , 1965 .

[7] C. Sundararajan,et al. Stability of columns on elastic foundations subjected to conservative and non-conservative forces , 1974 .