KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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Natural Frequency Characteristics of Vertically Loaded Barrettes

수직하중을 받는 Barrette 말뚝의 고유진동수 특성

  • 이준규 (서울시립대학교 토목공학과) ;
  • 고준영 (충남대학교 토목공학과) ;
  • 최용혁 (서울시설공단 도로시설처) ;
  • 박구병 (한국교육시설안전원) ;
  • 김재영 (한국교육시설안전원)
  • Received : 2020.07.07
  • Accepted : 2020.10.26
  • Published : 2021.02.01
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Abstract

In this paper, an analytical model is proposed for assessing the natural frequency of barrettes subjected to vertical loading. The differential equation governing the free vibration of rectangular friction piles embedded in inhomogeneous soil is derived. The governing equation is numerically integrated by Runge-Kutta technique and the eigenvalue of natural frequency is computed by Regula-Falsi method. The numerical solutions for the natural frequency of barrettes compare well with those obtained from finite element analysis. Illustrated examples show that the natural frequencies increase with an increase of the cross-sectional aspect ratio, the friction resistance ratio and the soil stiffness ratio, and decrease with an increase of the friction aspect ratio, the slenderness ratio and the load factor, respectively.

본 논문에서는 정적 수직하중을 받는 barrette 말뚝의 고유진동수를 산정할 수 있는 해석모델을 제안하였다. 비균질 지반에 설치된 직사각형 마찰말뚝의 자유진동을 지배하는 미분방정식을 유도하였다. 이 지배방정식을 Runge-Kutta 법을 이용하여 수치적분하였고, 미분방정식의 고유치인 고유진동수는 Regula-Falsi 법을 이용하여 산정하였다. 말뚝의 고유진동수는 유한요소해석의 결과와 잘 일치하였다. 말뚝의 고유진동수를 증가시키는 말뚝변수는 단면형상비, 마찰저항비, 지반강성비이고, 감소시키는 말뚝변수는 마찰형상비, 세장비, 압축계수이다.

Keywords

Acknowledgement

본 논문은 2020년도 서울시립대학교 교내학술연구비에 의하여 지원되었습니다.

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