Critical Loads of Tapered Cantilever Columns with a Tip Mass

자유단 집중질량을 갖는 변단면 캔틸레버 기둥의 임계하중

  • 정진섭 (원광대학교 토목환경공학과) ;
  • 이병구 (원광대학교 토목환경공학과) ;
  • 김권식 (원광대학교 대학원) ;
  • 김종웅 (원광대학교 대학원)
  • Received : 2005.08.02
  • Accepted : 2005.10.26
  • Published : 2005.12.27

Abstract

This paper investigates critical loads of tapered cantilever columns with a tip mass, subjected to a follower force. The linearly tapered solid rectangular cross-sections are adopted as the column taper. The differential equation governing free vibrations of such columns, also called Beck's columns, is derived using the Bernoulli-Euler beam theory. Both divergence and flutter critical loads are calculated from the load-frequency curves that are obtained by solving the differential equation. The critical loads are presented as functions of various non-dimensional system parameters, namely, the taper type, the subtangential parameter, and the mass ratio.

Acknowledgement

Supported by : 원광대학교

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