Stability of Stepped Columns Subjected to Nonconservative Force

비보존력이 작용하는 불연속 변단면 기둥의 안정성

  • 오상진 (남도대학 토목환경과) ;
  • 모정만 (전주농림고등학교 농업토목과) ;
  • 이재영 (호원대학교 토목공학과)
  • Published : 2006.11.16


The purpose of this paper is to investigate the stability of stepped cantilever columns with a tip mass of rotatory inertia and a translational spring at one end. The column model is based on the Bernoulli-Euler theory which neglects the effects of rotatory inertia and shear deformation. The governing differential equation for the free vibration of columns with stepwise variable cross-section and subjected to a subtangential follower force is solved numerically using the corresponding boundary conditions. And the bisection method is used to calculate the critical divergence/flutter load. The frequency and critical divergence/flutter load for the stepped column with a single step are presented as functions of various non-dimensional system parameters: the segmental length parameter, the section ratio, the subtangential parameter, the mass, the moment of inertia of the mass, and the spring parameter.