Structural Engineering and Mechanics

  • 제42권1호
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  • Pages.39-53
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  • 2012
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Natural stiffness matrix for beams on Winkler foundation: exact force-based derivation

  • Limkatanyu, Suchart (Department of Civil Engineering, Faculty of Engineering, Prince of Songkla University) ;
  • Kuntiyawichai, Kittisak (Department of Civil Engineering, Faculty of Engineering, Ubonratchathani University) ;
  • Spacone, Enrico (Department of PRICOS, Faculty of Architecture, University "G. D'Annunzio") ;
  • Kwon, Minho (Department of Civil Engineering, ERI, Gyeongsang National University)
  • 투고 : 2011.02.09
  • 심사 : 2012.02.28
  • 발행 : 2012.04.10
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents an alternative way to derive the exact element stiffness matrix for a beam on Winkler foundation and the fixed-end force vector due to a linearly distributed load. The element flexibility matrix is derived first and forms the core of the exact element stiffness matrix. The governing differential compatibility of the problem is derived using the virtual force principle and solved to obtain the exact moment interpolation functions. The matrix virtual force equation is employed to obtain the exact element flexibility matrix using the exact moment interpolation functions. The so-called "natural" element stiffness matrix is obtained by inverting the exact element flexibility matrix. Two numerical examples are used to verify the accuracy and the efficiency of the natural beam element on Winkler foundation.

키워드

참고문헌

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피인용 문헌

  1. Exact Stiffness for Beams on Kerr-Type Foundation: The Virtual Force Approach vol.2013, 2013, https://doi.org/10.1155/2013/626287
  2. Correlation between beam on Winkler-Pasternak foundation and beam on elastic substrate medium with inclusion of microstructure and surface effects vol.28, pp.9, 2014, https://doi.org/10.1007/s12206-014-0827-6
  3. Force-based derivation of exact stiffness matrix for beams onWinkler-Pasternak foundation vol.95, pp.2, 2015, https://doi.org/10.1002/zamm.201300030
  4. A Novel Beam-Elastic Substrate Model with Inclusion of Nonlocal Elasticity and Surface Energy Effects vol.41, pp.10, 2016, https://doi.org/10.1007/s13369-016-2085-7
  5. Exact stiffness matrix for nonlocal bars embedded in elastic foundation media: the virtual-force approach vol.89, pp.1, 2014, https://doi.org/10.1007/s10665-014-9707-4
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  7. Nonlinear flexibility-based beam element on Winkler-Pasternak foundation vol.24, pp.4, 2012, https://doi.org/10.12989/gae.2021.24.4.371