Modeling and Its Modal Analysis for Distributed Parameter Frame Structures using Exact Dynamic Elements

엄밀한 동적 요소를 이용한 프레임 구조물의 모델링 및 모드 해석

  • 김종욱 (금오공과대학교 대학원 기계공학부) ;
  • 홍성욱 (금오공과대학교 기계공학부)
  • Published : 1999.10.01

Abstract

This paper introduces modeling and its modal analysis procedure for exact and closed form solution of in-plane vibrations of general Timoshenko frame structures using exact dynamic element method(EDEM). The derivation procedure of the exact system dynamic matrices for Timoshenko beam frames is described. A new modal analysis procedure is also proposed since the conventional modal analysis schemes are not adequate for the proposed, exact system dynamic matrix. The proposed method provides exact modal parameters as well as all kinds of closed form solutions for general frame structures. Two numerical examples are presented for validating and illustrating the proposed method. The numerical study proves that the proposed method is useful for dynamic analysis of frame structures.

Keywords

References

  1. Structural Dynamics: Theory and Computation Paz, M.
  2. Journal of the Structural Division v.96 no.3 Vibrations of Timoshenko Beams and Frameworks Cheng, F. Y.
  3. Journal of the Structural Division v.89 no.4 Dynamic Flexibility Matrix Analysis of Frames Levien, K. W.;Hartz, B. J.
  4. Journal of Sound and Vibration v.14 no.2 Vibrations of Frame Structures According to the Timoshenko Theory Wang, T. M.;Kinsman, T. A.
  5. Journal of Sound and Vibration v.192 no.4 Dynamic Analysis of Coupled Shear Wall-Frame Systems Capuani, D.;Merli, M.;Savoia, M.
  6. Journal of Sound and Vibration v.209 no.4 Vibrations of Arbitray Oriented Two-Member Open Frames with Tip Mass Oguamanam, D. C. D.;Hansen, J.S.;Heppler, G.R.
  7. Journal of Sound and Vibration v.212 no.3 Vibrations of Multi-Span Timoshshenko Frames due to Moving Loads Wang, R.-T.;Lin, J.-S.
  8. 한국정밀공학회지 v.15 no.12 감쇠가 있는 일반적인 보 구조물을 위한 엄밀한 모드 해석 홍성욱;김종욱;박종혁
  9. 한국소음진동공학회지 v.9 no.1 디지털 모델링 기법에 의한 1차원 연속계의 모드 해석 홍성욱;조종환
  10. Lambda-Matrices and Vibrating Systems Lancaster, P.
  11. Journal of Sound and Vibration v.148 no.3 Lambda Matrix Flexibility Leung, A.Y.T.