Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear System Parameter Identification Using Finite Element Model

유한요소모델을 이용한 비선형 시스템의 매개변수 규명

  • Published : 2000.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

A method based on frequency domain approaches is presented for the nonlinear parameters identification of structure having nonlinear joints. The finite element model of linear substructure is us ed to calculating its frequency response functions needed in parameter identification process. This method is easily applicable to a complex real structure having nonlinear elements since it uses the frequency response function of finite element model. Since this method is performed in frequency domain, the number of equations required to identify the unknown parameters can be easily increased as many as it needed, just by not only varying excitation amplitude but also selecting excitation frequencies. The validity of this method is tested numerically and experimentally with a cantilever beam having the nonlinear element. It was verified through examples that the method is useful to identify the nonlinear parameters of a structure having arbitary nonlinear boundaries.

Keywords

References

  1. Masri, S. F.Miller, R. K., Saud, A.F. and Caughey T. K., 1987, 'Identification of Nonlinear Vibrating Structures : Part I-Formulation,' Trans. of ASME, J. of Applied Mechanics, Vol. 54, pp. 918-922
  2. Masri, S. F., Miller, R. K., Saud, A.F. and Caughey T. K., 1987, 'Identification of Nonlinear Vibrating Structures : Part II-Application,' Trans. of ASME, J. of Applied Mechanics, Vol. 54, pp. 923-929
  3. Masri, S. F., Miller, R. K., Dehghanyar, T. J. and Caughey T. K., 1989, ' Active Parameter Control of Nonlinear Vibrating Structures, ' Trans. of ASME, J. of Applied Mechanics, Vol. 56, pp. 659-666
  4. Crawley, E. F. and Aubert, A. C, 1986, 'Identification of Nonlinear Structural Element by Force-State Mapping,' AIAA Journal, Vol. 24, No. 1, pp. 155-162
  5. Crawley, E. F. and O'Donnell, K. J., 1987, 'Force-State Mapping Identification of Nonlinear Joints, 'AIAA Journal, Vol.25, No.7, pp.1003-1010
  6. 이건명 , Tomlinson, G. R., 1995, 'Volterra 급수로 나타낸 비선형 시스템 주파수 응답함수의 수렴특성,' 대한기계학회논문집, 제19권, 제8호, pp. 1901-1906
  7. 이건명, 1997, '고차 주파수응답함수를 이용한 비선형시스템의 매개변수 추정,' 한국소음진동공 학회지, 제7권, 제2호, pp. 223-229
  8. 김원진, '주파수영역방법에 의한 비선형 모델 변수의 실험적 규명,' 대한기계학회논문집 A권 제22권 제2호, pp. 458-446