• Journal of KSNVE
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• v.11 no.1
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• pp.156-166
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• 2001

This work uses tensor calculus to derive a complete set of three-dimensional field equations well-suited for determining the behavior of thick shells of revolution having arbitrary curvature and variable thickness. The material is assumed to be homogeneous, isotropic and linearly elastic. The equations are expressed in terms of coordinates tangent and normal to the shell middle surface. The relationships are combined to yield equations of motion in terms of orthogonal displacement components taken in the meridional, normal and circumferential directions. Strain energy and kinetic energy functionals are also presented. The equations of motion and energy functionals may be used to determine the static or dynamic displacements and stresses in shells of revolution, including free and forced vibration and wave propagation.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.15 no.4 s.97
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• pp.457-464
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• 2005

A three-dimensional (3-D) method of analysis is presented for determining the free vibration frequencies and mode shapes of thick, complete (not truncated) conical shells of revolution, Unlike conventional shell theories, which are mathematically two-dimensional (2-D). the present method is based upon the 3-D dynamic equations of elasticity. Displacement components $u_{r},\;u_{z},\;and\;u_{\theta}$ in the radial, axial, and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in , and algebraic polynomials in the r and z directions. Potential (strain) and kinetic energies of the conical shells are formulated, the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four-digit exactitude is demonstrated for the first five frequencies of theconical shells. Novel numerical results are presented for thick, complete conical shells of revolution based upon the 3-D theory. Comparisons are also made between the frequencies from the present 3-D Ritz method and a 2-D thin shell theory.

• Journal of KSNVE
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• v.7 no.3
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• pp.411-418
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• 1997

A method to analyze the axisymmetric vibration and the internal pressure of the fluid filled, strength member embedded infinite cylindrical shell under the condition of axial static tension load applied is presented. As an example, the hose wall vibration and the internal pressure variation characteristics of a fluid filled infinite polyurethane hose are analyzed and dicussed, under the effects of the variation of the embedded strength members and the response positions.

• Journal of the KSME
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• v.34 no.7
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• pp.517-526
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• 1994

복합재료가 점차 최근에 항공기에서 이차적인 구조요소에서 일차적으로 힘을 받는 구조물에 사 용됨으로써 두꺼운 복합재료 구조판과 셸의 정확한 동적, 정적거동을 예측하는 것이 중요한 문 제가 되었다. 특히 전산구조역학의 한 분야로서 복합재료 적층판의 문제는 inhomogeneity와 anisotropy 문제를 가지고 있어서 복잡하며 일차구조 (primary structrue)에서는 100장-200장의 적층도 드물지 않게 볼 수 있어서 정확한 계산을 위해서는 방대한 기억용량과 빠른 계산속도를 요구한다. 그러므로 복합재료 적층판의 거동을 정확하고 값싸고 빠르게 계산할 수 있는 이론과 수치방법의 개발이 중요한 문제이다. 이 문제는 E. Reissner, R. K. Kapania & S. Raciti, A. K. Noor & W. S., Burton, L. Librescu & J. N. Reddy, J. N. Reddy 등에 의해서 review가 행하 여졌고 이 분야의 모든 paper들의 비교적 현재까지 연구동향을 잘 묘사하고 있다. 여러 review paper들이 시간흐름상으로 여러 연구들을 잘 정리하고 있으므로 이 글에서는 논문들을 다시 review하는 것이 아니라 지난 20여 년간 이 분야에서 계속되어 온 연구중 주요한 것을 고찰하고 소개하는 것을 그 목적으로 한다.