Elastic stability of cracked columns subjected to a partially follower force

• Main Authors: Chun-Bin Liou, 劉俊彬
• Other Authors: Deng-How Tsaur
• Format: Others
• Language: zh-TW
• Published: 1999
• Online Access: http://ndltd.ncl.edu.tw/handle/69700003785078085398

碩士 === 國立海洋大學 === 河海工程學系 === 87 === This essay, based on the dynamic or kinetic approach and contour method, is dedicated to the study of the influence of the tangency coefficient, the depth of the crack, the location of the crack, the boundary conditions and the elastic restraints on the critical instability mechanism and critical buckling load of the Bernoulli-Euler column of the nonpropagating open cracks, whose material is subject to Hooke's law, which undertake the partially follower force. Firstly, by means of characteristic curves diagrams with changes in parameters, we notice that as the tangential coefficient increases, the nonconservative system makes the critical instability mechanism transform form divergence to flutter; also, the increase in tangential coefficient results in the increase of the value of the critical buckling load. If tangential coefficient keeps increasing and critical instability mechanism transforms from flutter to divergence, the value of the critical buckling load will decrease. However, the value of the critical buckling load won't be affected by the tangential coefficient when it is under conservative systems. Secondly, as for the effect of the depth of the crack, the value of the critical buckling load will increase when some deeper cracks are with the changes in the flutter instability. Otherwise, the value of the critical buckling load will decrease as the depth of crack increases. Thirdly, the closer the ( nonpropagating single sided and the pair of double sided open ) crack approaches the constrained support and/or free end, the greater the value of the critical buckling load. On the contrary, the value of the critical buckling load diminishes. Last but not least, as for the effect of the boundary conditions, the more strongly constrained support leads to less diminution of the value of the critical buckling load which results from different crack depth.