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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.17 No.1
- 발행연도
- 2004.1
- 수록면
- 1 - 14 (14page)
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초록· 키워드
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Numerical solution to linear bending analysis of circular plates is obtained by the method ofharmonic differential quadrature (HDQ). In the method of differential quadrature (DQ), partial spacederivatives of a function appearing in a diferential equation are approximated by means of a polynomialexpressed as the weighted linear sum of the function values at a preselected grid of discrete points. Themethod of HDQ that was used in the paper proposes a very simple algebraic formula to determine theweighting coefficients required by diferential quadrature approximation without restricting the choice ofmesh grids. Applying this concept to the governing diferential equation of circular plate gives a set oflinear simultaneous equations. Bending moments, stresses values in radial and tangential directions andvertical deflections are found for two diferent types of load. In the present study, the axisymmetricbending behavior is considered. Both the clamped and the simply supported edges are considered asboundary conditions. The obtained results are compared with existing solutions available from analyticaland other numerical results such as finite elements and finite differences methods. A comparison betweenthe HDQ results and the finite difference solutions for one example plate problem is also made. Themethod presented gives accurate results and is computationally efficient.
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