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Critical Loads of Tapered Beck's Columns with Clamped and Spring Supports  

Kim Suk-Ki (단국대학교 토목환경공학과)
Park Kwang-Kyou (대전대학교 토목공학과)
Lee Byoung-Koo (원광대학교 토목환경공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.19, no.1, 2006 , pp. 85-92 More about this Journal
Abstract
This paper investigates critical loads of the tapered Beck's columns with clamped and spring supports, subjected to a subtangential follower force. The linearly tapered columns with the solid rectangular cross-section is adopted as the column taper. The differential equation governing free vibrations of such Beck's columns is derived using the Bemoulli-Euler beam theory. Both divergence and flutter critical loads are calculated from the load-frequency curves which are obtained by solving the differential equation. The critical loads are presented as functions of various non-dimensional system parameters: the taper type, the subtangential parameter and the spring stiffness.
Keywords
tapered Beck's column; divergence critical load; flutter critical load; subtangential follower force; flutter frequency;
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