Abstract

This paper presents the dynamic stability of a cantilevered Timoshenko beam on partial elastic foundations subjected to a follower force. The beam with a tip concentrated mass is assumed to be a Timoshenko beam taking into account its rotary inertia and shear deformation. Governing equations are derived by extended Hamilton's principle, and finite element method is applied to solve the discretized equation. Critical follower force depending on the attachment ratios of partial elastic foundations, rotary inertia of the beam and magnitude and rotary inertia of the tip mass is fully investigated.

• Keywords: Partial Elastic Foundation(부분 탄성기초),Follower Force(종동력),Dynamic Stability(동적안정성),Timoshenko Beam(티모센코 보),Tip mass(끝단질량)