Critical Force Analysis of a Cantilever Column Subjected to a Subtangential Follower Force and a Vertical Force
The stability of a cantilever column subjected to a subtangential follower force and a vertical force is discussed for investigating the effects of these factors on the critical force. The governing differential equation of the system and the corresponding boundary conditions are established, and the exact solution is found out by integrating the differential equation. Based on the exact solution, the effects of the parameters relating to the subtangential follower force and the vertical force on the critical force are analyzed, and discussions for these results are performed， the influence curves of the subtangential follower force parameter and the vertical force parameter to the critical force are plotted. The results show that the parameter of a subtangential follower force can be bigger than 1/2, even equal to 1.0, with taking into account of the effect of the vertical force.
Z.C. Su et al., "Critical Force Analysis of a Cantilever Column Subjected to a Subtangential Follower Force and a Vertical Force", Applied Mechanics and Materials, Vols. 138-139, pp. 3-8, 2012