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Influence of Partial Elastic Foundations on Dynamic Stability of a Cantilevered Timoshenko Beam with a Tip Mass under a follower force  

Shin, Kwang-Bok (한밭대학교 기계공학부)
Kim, Hyo-Jun (삼척대학교 기계공학부)
Ryu, Bong-Jo (한밭대학교 기계공학부)
Publication Information
Journal of the Korean Society for Precision Engineering / v.22, no.10, 2005 , pp. 65-71 More about this Journal
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; Follower Force; Dynamic Stability; Timoshenko Beam; Tip mass;
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