Leung, Andrew Yee TakAndrew Yee TakLeungZhou, W. E.Lim, C. W.Yuen, R. K. K.Lee, U.2022-04-072022-04-072001https://repository.sfu.edu.hk/handle/sfu/2957A follower force is an applied force whose direction changes according to the deformed shape during the course of deformation. The dynamic stiffness matrix of a non-uniform Timoshenko column under follower force is formed by the power-series method. The dynamic stiffness matrix is unsymmetrical due to the non-conservative nature of the follower force. The frequency-dependent mass matrix is still symmetrical and positive definite according to the extended Leung theorem. An arc length continuation method is introduced to find the influence of a concentrated follower force, distributed follower force, end mass and stiffness, slenderness, and taper ratio on the natural frequency and stability. It is found that the power-series method can handle a very wide class of dynamic stiffness problem.enjournal article10.1002/nme.153