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학술논문한국소음진동공학회논문집2022.02 발행KCI 피인용 4

임의 형상 멤브레인의 자유 진동 해석을 위한 NDIF법에서의 고유치 추출 기법 개선

Improvement of Eigenvalue Extraction Method in the NDIF Method for Free Vibration Analysis of Arbitrarily Shaped Membranes

강상욱(한성대학교)

32권 1호, 97~104쪽

초록

A method to overcome the weakness of low-order eigenvalues not being extracted when the number of nodes is increased in the original NDIF method used in the eigenvalue analysis of arbitrarily shaped membranes has been proposed in a recent study. However, there is still the problem that the determinant curve of the system matrix that produces the eigenvalues has a discontinuity. In this study, an effective method to solve this discontinuity problem was proposed, and the validity and accuracy of the proposed method were confirmed through various example verifications. In the verification examples, the eigenvalues obtained from the proposed method were compared to those obtained from the original NDIF method, exact solution, and finite element method (ANSYS).

Abstract

A method to overcome the weakness of low-order eigenvalues not being extracted when the number of nodes is increased in the original NDIF method used in the eigenvalue analysis of arbitrarily shaped membranes has been proposed in a recent study. However, there is still the problem that the determinant curve of the system matrix that produces the eigenvalues has a discontinuity. In this study, an effective method to solve this discontinuity problem was proposed, and the validity and accuracy of the proposed method were confirmed through various example verifications. In the verification examples, the eigenvalues obtained from the proposed method were compared to those obtained from the original NDIF method, exact solution, and finite element method (ANSYS).

발행기관:
한국소음진동공학회
DOI:
http://dx.doi.org/10.5050/KSNVE.2022.32.1.097
분류:
기계공학

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임의 형상 멤브레인의 자유 진동 해석을 위한 NDIF법에서의 고유치 추출 기법 개선 | 한국소음진동공학회논문집 2022 | AskLaw | 애스크로 AI