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이정우(Jung Woo Lee),유충준(Chung Jun You),이정윤(Jung Youn Lee) 한국소음진동공학회 2019 한국소음진동공학회 논문집 Vol.29 No.3
This paper presents a transfer matrix method to accurately determine the natural frequencies and mode shapes of the free vibration characteristics of a rotating Bernoulli–Euler beam with an elastic boundary condition (EBC) at its root. The proposed method can accurately determine the desired number of natural frequencies for such problems using a single element. The EBC is modeled for translational and rotational springs, and its effects are expressed in an independent transfer matrix. Structures with an EBC are altered according to the structures with other various conditions by appropriately controlling the stiffness values of the springs. The roots of the differential equation are solved for a bending vibration by applying the Frobenius method. In addition, the variation in mode shape depending on the change in the stiffness of springs is investigated in detail.
탄성경계 조건을 갖는 구조물의 설계파라미터 변경에 의한 동특성 변화 해석
이정윤(Jung Youn Lee) 한국소음진동공학회 2017 한국소음진동공학회 논문집 Vol.27 No.7
The sensitivity coefficient was analyzed using the changes of stiffness matrix. In addition to the analysis, the computation of the sensitivity coefficient was modified by accounting the changes of the elastic boundary conditions. An iterative method was adopted to predict the modified natural frequencies and eigenvectors of a beam with the changes of the elastic boundary conditions. The comparison to the reanalysis value shows the effectiveness of the proposed method.