Theoretical Approach; Identification of Dynamic Characteristics for Lumped Mass Beam Model due to Changes of Mass

질량 변화에 따른 Lumped Mass Beam Model의 이론적 동특성 규명

  • 누룰파와지 (한양 대학교 대학권 기계 공학과) ;
  • 윤지현 (한양 대학교 대학권 기계 공학과) ;
  • 강귀현 (한양 대학교 대학권 기계 공학과) ;
  • 이정윤 (경기 대학교 기계시스템디자인 공학부) ;
  • 오재응 (한양 대학교 기계 공학부)
  • Published : 2008.04.17

Abstract

This paper predicts the changes of natural frequencies due to the changes of mass at different point mass stations by using iterative calculation Transfer Matrices Method for different boundary conditions of a single beam structure (fixed-free and fixed-fixed beam). Firstly, the first three natural frequencies of an original beam are obtained using Transfer Matrices Method to verify the accuracy of the obtained results. The results are then compared with the exact solutions before purposely changing the parameter of mass. Both beams are modeled as discrete continuous systems with six-lumped-mass system. A single beam is broken down into a point mass and a massless beam which represent a single station and expressed in matrix form. The assembled matrices are used to determine the value of natural frequencies using numerical interpolation method corresponding to their mode number by manipulating some elements in the assembled matrix.

Keywords