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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.58 No.6
- 발행연도
- 2016.1
- 수록면
- 949 - 966 (18page)
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초록· 키워드
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The second order analysis taking place due to non-linear behavior of the structures under the mechanical and geometric factors through implementing exact and approximate methods is an indispensible issue in the analysis of such structures. Among the exact methods is the slope-deflection method that due to its simplicity and efficiency of its relationships has always been in consideration. By solving the differential equations of the modified slope–deflection method in which the effect of axial compressive force is considered, the stiffness matrix including trigonometric entries would be obtained. The complexity of computations with trigonometric functions causes replacement with their Maclaurin expansion. In most cases only the first two terms of this expansion are used but to obtain more accurate results, more elements are needed. In this paper, the effect of utilizing higher order terms of Maclaurin expansion on reducing the number of required elements and attaining more rapid convergence with less error is investigated for the Bernoulli beam with various boundary conditions. The results indicate that when using only one element along the beam length, utilizing higher order terms in Maclaurin expansion would reduce the relative error in determining the critical buckling load and kinematic parameters in the second order analysis.
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참고문헌 (24)
참고문헌 신청
Al-Bermani, F.G. / 1990 / Nonlinear analysis of thin-walled structures using least element/member / J. Struct. Eng 116(1):215~234
Aristizabal-Ochoa, J.D. / 1997 / First- and second-order stiffness matrices and load vector of beam-columns with semi-rigid connections / J. Struct. Eng 123(5):669~678
Aristizabal-Ochoa, J.D. / 2008 / Slope-deflection equations for stability and second-order analysis of Timoshenko beam-column structures with semi-rigid connections / Eng. Struct 30(9):2517~2527
Aristizabal-Ochoa, J.D. / 2012 / Matrix method for stability and second-order analysis of Timoshenko beam-column structures with semi-rigid connections / Eng. Struct 34:289~302
Balling, R.J. / 2010 / Second-order analysis of plane frames with one element per member / J. Struct. Eng 137(11):1350~1358
Aristizabal-Ochoa, J.D. / 1997 / First- and second-order stiffness matrices and load vector of beam-columns with semi-rigid connections / J. Struct. Eng 123(5):669~678
Aristizabal-Ochoa, J.D. / 2008 / Slope-deflection equations for stability and second-order analysis of Timoshenko beam-column structures with semi-rigid connections / Eng. Struct 30(9):2517~2527
Aristizabal-Ochoa, J.D. / 2012 / Matrix method for stability and second-order analysis of Timoshenko beam-column structures with semi-rigid connections / Eng. Struct 34:289~302
Balling, R.J. / 2010 / Second-order analysis of plane frames with one element per member / J. Struct. Eng 137(11):1350~1358
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