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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.68 No.6
- 발행연도
- 2018.1
- 수록면
- 713 - 720 (8page)
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초록· 키워드
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In this paper a new numerical method to determine the elastic curve of the simply supported beams of variable cross-section is demonstrated. In general case it needs to solve linear or small nonlinear second order differential equations with prescribed boundary conditions. For numerical solution the initial values of the slope and the deflection of the end cross-section of the beam is necessary. For obtaining the initial values a lively procedure is developed: it is a special application of the shooting method because boundary value problems can be transformed into initial value problems. As a result of these transformations the initial values of the differential equations are obtained with high accuracy. Procedure is applied for calculating of elastic curve of a simply supported beam of variable cross-section. Results of these numerical procedures, analytical solution of the linearized version and finite element method are compared. It is proved that the suggested procedure yields technically accurate results.
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참고문헌 (14)
참고문헌 신청
István Bíró / 2016 / Procedures for determination of elastic curve of simply and multiple supported beams / Structural Engineering and Mechanics, An Int＇l Journal 60(1):21~30
Fertis, D. G. / 2006 / Nonlinear Structural Engineering with Unique Theories and Methods to Solve Effectively Complex Nonlinear Problems / Springer
Kumar, R. / 2004 / Techniques based on generic algorithms for large deflection analysis of beams / Sadhana 29(6):589~604
Kumar, R. / 2006 / A multi-step linearization techniques for a class of bending value problems in non-linear mechanics / Comput. Mech 39:73~81
Merli, R. / 2010 / Comparison of two linearization schemes for the nonlinear bending problem of a beam pinned at both ends / Int. J. Sol. Struct 47(6):865~874
Fertis, D. G. / 2006 / Nonlinear Structural Engineering with Unique Theories and Methods to Solve Effectively Complex Nonlinear Problems / Springer
Kumar, R. / 2004 / Techniques based on generic algorithms for large deflection analysis of beams / Sadhana 29(6):589~604
Kumar, R. / 2006 / A multi-step linearization techniques for a class of bending value problems in non-linear mechanics / Comput. Mech 39:73~81
Merli, R. / 2010 / Comparison of two linearization schemes for the nonlinear bending problem of a beam pinned at both ends / Int. J. Sol. Struct 47(6):865~874
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