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http://dx.doi.org/10.5050/KSNVN.2009.19.6.607

A Formulation of NDIF Method to the Algebraic Eigenvalue Problem for Efficiently Extracting Natural Frequencies of Arbitrarily Shaped Plates with the Simply Supported Boundary Condition  

Kang, S.W. (한성대학교 기계시스템공학과)
Kim, J.G. (대구가톨릭대학교 기계자동차공학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.19, no.6, 2009 , pp. 607-613 More about this Journal
Abstract
A new formulation of NDIF method to the algebraic eigenvalue problem is introduced to efficiently extract natural frequencies of arbitrarily shaped plates with the simply supported boundary condition. NDIF method, which was developed by the authors for the free vibration analysis of arbitrarily shaped membranes and plates, has the feature that it yields highly accurate natural frequencies compared with other analytical methods or numerical methods(FEM and BEM). However, NDIF method has the weak point that it needs the inefficient procedure of searching natural frequencies by plotting the values of the determinant of a system matrix in the frequency range of interest. A new formulation of NDIF method developed in the paper doesn't require the above inefficient procedure and natural frequencies can be efficiently obtained by solving the typical algebraic eigenvalue problem. Finally, the validity of the proposed method is shown in several case studies, which indicate that natural frequencies by the proposed method are very accurate compared to other exact, analytical, or numerical methods.
Keywords
NDIF Method; Algebraic Eigenvalue Problem; Simply Supported Plate; Free Vibration; Natural Frequency; Arbitrarily Shaped Plate;
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Times Cited By KSCI : 4  (Citation Analysis)
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