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A Study on the Natural Frequency of Al Square Plates with a Brass Inclusion using Rule of Mixtures  

Lee, Youn-Bok (충남대학교 기계설계공학과 대학원)
Lee, Se-Hoon (충남대학교 기계설계공학과 대학원)
Lee, Young-Shin (충남대학교 기계설계공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.19, no.4, 2006 , pp. 399-406 More about this Journal
Abstract
The natural frequencies of Al square plates with a brass inclusion were analyzed by the rule of mixtures. The rule of mixtures is the method to derive natural frequency mutiplying effective inplane wane speed and nondimensional frequency parameters. Numerical models were Al square plates with an inclusion with cantilever type, 2 clamped edge-2 free edge type, 3 clamped edge-1 free edge type and fully clamped edge type. In cantilever type plates, 2 clamped edge-2 free edge type plates and 3 clamped edge-1 free edge plates with an inclusion, good agreement within 10% obtained from rule of mixtures' results and numerical analysis results within inclusion area ratio 1/9. It was found that the natural frequencies of the cantilever type, 2 clamped edge-2 free edge type and 3 clamped edge-1 free edge type plates with an inclusion decrease as the size of inclusion increases when inclusion is located center of plates. And when the density of inclusion is less than the plates, natural frequency of plates with an inclusion increases as the size of inclusion increases.
Keywords
rule of mixtures; cantilever type plate; boundary condition; elastic inclusion; natural frequency;
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Times Cited By KSCI : 1  (Citation Analysis)
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