Transactions of the Korean Society of Mechanical Engineers (대한기계학회논문집)
- Volume 16 Issue 5
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- Pages.849-863
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- 1992
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- 1225-5963(pISSN)
DOI QR Code
Free Vibration Analysis of Orthotropic Triangular Plates with Simplified Series Function
단순급수함수를 이용한 직교이방성 복합재료 삼각판의 자유진동해석
Abstract
A very simple and computationally efficient numerical method is developed for the free vibration of isotropic and orthotropic composite triangular plates. A set of two-dimensional simple series functions is used as an admissible displacement functions in the Rayleigh-Ritz method to obtain the natural frequencies, nodal patterns and mode shapes for the plates. From the prescribed starting function satisfying only the geometric boundary conditions, the higher terms in the series functions are constructed with adding order of polynominal. Natural frequencies, nodal patterns and mode shapes are obtained for right triangular plates with three different support conditions. The obtained numerical results are presented, and the isotropic and some orthotropic cases are verified with other numerical methods in the liternature.
본 연구에서는 훨씬 간단하고 직교 다항식이 아니더라도 단지 기하학적 경계 조건만을 만족하는 단순 급수함수(simplified series function)와 Rayleigh-Ritz met- hod를 이용하여 동방성 및 복합재료 직각삼각형에 대하여 수렴성을 검토하고, 경계조 건의 변화와 직교이방성 재료의 물성치 E
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