고유벡터의 변화량에 의한 비례감쇠구조물의 변경질량 및 그 위치 해석

다국어 초록 (Multilingual Abstract)

In spite of a large amount of previous research, detail study on modified mass in proportional damping system is not well understood. It is common to predict structural dynamic design parameters due to the change of mass, but to predict the amount of modified mass and the location where the mass is being modified are rarely found in previous literature. Such inverse problem required detail analytical study in order to understand structural modification in proportional damping system. This paper predicts the modified mass and the modified mass location in proportional damping system using sensitivity coefficients and iterative method. The sensitivity coefficients are obtained from the change of eigenvectors due to mass modification. This method is applied to a horizontal beam and three degree of freedoms system. To validate the predicted changing mass and its location, the obtained results are compared to the reanalysis result which shows good agreement.

참고문헌 (Reference)

1 이정윤, "설계파라미터 변경에 따른 구조물의 동특성 변화 해석" 대한기계학회 26 (26): 20-744, 2002

2 Friswell, M. I, "Using Vibration Data and Statistical Measures to Locate Damage in Structures" 9 (9): 239-254, 1994

3 Ahmadian, H, "Regularization Methods for Finite Element Model Updating" 12 (12): 47-64, 1998

4 Fox, R. L, "Rates of Change of Eigenvalues and Eigenvectors" 6 (6): 2426-2429, 1968

5 Zhang, Q, "Prediction of Mass Modification for Desired Natural Frequencies" 4 (4): 39-44, 1989

6 Wei, F. S, "Mass Matrix Modification Using Element Correction Method" 27 (27): 119-121, 1989

7 Adhikari S, "Calculation of Derivative of Complex Modes using Classical Normal Modes" 77 (77): 625-633, 2000

8 Zhang, Q, "A review of Mass Matrixes for Eigenprobrems" 46 : 1041-1048, 1993