Structural Engineering and Mechanics

  • 제28권2호
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  • Pages.221-238
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  • 2008
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Buckling of fully and partially embedded non-prismatic columns using differential quadrature and differential transformation methods

  • Rajasekaran, S. (Infrastructure Engineering, PSG College of Technology)
  • 투고 : 2007.06.05
  • 심사 : 2007.10.23
  • 발행 : 2008.01.30
⟨ 이전 논문 다음 논문 ⟩

초록

Numerical solution to buckling analysis of beams and columns are obtained by the method of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for various support conditions considering the variation of flexural rigidity. The solution technique is applied to find the buckling load of fully or partially embedded columns such as piles. A simple semi- inverse method of DQ or HDQ is proposed for determining the flexural rigidities at various sections of non-prismatic column ( pile) partially and fully embedded given the buckling load, buckled shape and sub-grade reaction of the soil. The obtained results are compared with the existing solutions available from other numerical methods and analytical results. In addition, this paper also uses a recently developed technique, known as the differential transformation (DT) to determine the critical buckling load of fully or partially supported heavy prismatic piles as well as fully supported non-prismatic piles. In solving the problem, governing differential equation is converted to algebraic equations using differential transformation methods (DT) which must be solved together with applied boundary conditions. The symbolic programming package, Mathematica is ideally suitable to solve such recursive equations by considering fairly large number of terms.

키워드

참고문헌

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피인용 문헌

  1. Solution of free vibration equations of semi-rigid connected Reddy–Bickford beams resting on elastic soil using the differential transform method vol.81, pp.2, 2011, https://doi.org/10.1007/s00419-010-0405-z
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  3. Free vibration of axially loaded Reddy-Bickford beam on elastic soil using the differential transform method vol.31, pp.4, 2009, https://doi.org/10.12989/sem.2009.31.4.453
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