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http://dx.doi.org/10.3795/KSME-A.2009.33.12.1410

Stability Analysis of Cracked Beams with Subtangential Follower Force and Tip Mass  

Son, In-Soo (동의대학교 기계공학과)
Yoon, Han-Ik (동의대학교 기계공학과)
No, Tae-Woo (동의대학교 대학원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.33, no.12, 2009 , pp. 1410-1416 More about this Journal
Abstract
In this paper, the purpose is to investigate the stability and variation of natural frequency of a cracked cantilever beams subjected to follower force and tip mass. In addition, an analysis of the flutter instability(flutter critical follower force) of a cracked cantilever beam as slenderness ratio and crack severity is investigated. The governing differential equations of a Timoshenko beam subjected to an end tangential follower force is derived via Hamilton's principle. The two coupled governing differential equations are reduced to one fourth order ordinary differential equation in terms of the flexural displacement. Finally, the influence of the slenderness ratio and crack severity on the critical follower force, stability and the natural frequency of a beam are investigated.
Keywords
Cracked Beam; Stability; Subtangential Follower Force; Slenderness Ratio; Tip Mass;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By SCOPUS : 0
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