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A study on the dynamic characteristics of the Korean Yi-dynasty bell type structure

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Abstract

The dynamic characteristics of the Korean Yi-dynasty bell type structure, including the acoustic effects, are analyzed both theoretically and experimentally. The numerical solutions of natural frequencies and mode shape for membrane and flexural behavior are obtained by using the NASTRAN program for the finite element method with plate shell elements of triangular and quadrilateral types. Test bells, A and B types similar to the Kap-Sa bell in Kong-Ju chosen among typical Korean Yi-dynasty bells, are manufactured on different scales to the original bell. To consider the effects of the variation of the structural dimension on the dynamic response, these bells are analyzed with respect to the variation of the thickness of the wall and the bottom rim and the asymmetric Dang-Jwas. The impact method with the Fast Fourier Transform Analyzer is adopted to experimentally assess the dynamic response. Results are in good agreement with the numerical solutions.

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Abbreviations

G 1 :

Nodal points (i=1,2,3,4)

[K] :

Stiffness matrix

[M] :

Mass matrix

q i :

Generalized coordinates (i=1,2,3,4,5,6)

u, v, w :

Displacement local coordinate system

X m :

Material coordinate system

x, y, z :

Local coordinate system

X G ,Y G ,Z G :

Global coordinate system

α, β, γ:

Angles between local coordinate and diagonal line of quadrilateral elements

α1,α2,β1,β2 :

Rotation components

θ m :

Material coordinate rotations

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Chung, S.C., Kong, C.D. & Yum, Y.H. A study on the dynamic characteristics of the Korean Yi-dynasty bell type structure. KSME Journal 1, 133–139 (1987). https://doi.org/10.1007/BF02971657

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