Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Finite Element Analysis of Continuous Beam Vibration under Pedestrian Loading Considering Moving Mass Effect

이동 질량 효과를 고려한 연속 보의 보행하중 진동 유한요소 해석

  • Park, Wonsuk (Department of Civil Engineering, Mokpo National University)
  • 박원석 (목포대학교 토목공학과)
  • Received : 2022.07.12
  • Accepted : 2022.09.05
  • Published : 2022.10.31
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Abstract

This study proposes a finite element analysis method that can analyze the vibration of a beam by considering the inertia effect of moving masses in a vertical direction. The proposed method is effective when a precise interaction analysis is not required. The inertial effects of the moving masses are included in the equation of motion, and the interaction forces between the masses and the beam are considered only as external loads. Time domain analyses were performed using Abaqus, a general-purpose finite element analysis software, and an implementation method using multi-point constraints wais presented to link the displacements of the beam element nodes and moving rigid masses. The proposed method was verified by comparing its solution with that obtained using an existing analytical method, and the analysis results for continuous beam vibrations under dynamic gait loadings were used to examine the mass effect of pedestrians.

이 논문에서는 이동하는 질량체의 연직 방향에 대한 관성 효과를 고려하여 보의 진동을 해석할 수 있는 유한요소해석 방법을 제안한다. 제안하는 방법은 정밀한 상호작용 해석을 요하지 않는 경우에 계산의 효율성을 높이는 방법으로서, 이동하는 질량체의 관성 효과를 운동방정식에 연계시키고 질량체와 보의 상호작용력은 외부 하중으로만 고려한다. 범용 유한요소해석 소프트웨어인 Abaqus를 이용하여 시간 영역 해석을 수행하고 보의 절점과 이동하는 강체 질량의 절점 변위를 다지점 구속조건으로 연계하여 해석하는 방법을 제시하였다. 기존 해석적 방법에 의한 해와 비교하여 제안하는 방법을 검증하고 보행하중 모델을 이용한 이동 보행 하중해석에서 보행자의 질량 효과를 살펴보기 위한 간단한 연속 보 모델에 대한 해석 결과를 제시하였다.

Keywords

Acknowledgement

이 연구는 국립목포대학교의 교내학술연구(No. 2020-0158)의 지원을 받아 수행되었습니다.

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