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Natural stiffness matrix for beams on Winkler foundation: exact force-based derivation
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  • Natural stiffness matrix for beams on Winkler foundation: exact force-based derivation
  • Natural stiffness matrix for beams on Winkler foundation: exact force-based derivation
저자명
Limkatanyu. Suchart,Kuntiyawichai. Kittisak,Spacone. Enrico,Kwon. Minho
간행물명
Structural engineering and mechanics : An international journal
권/호정보
2012년|42권 1호|pp.39-53 (15 pages)
발행정보
테크노프레스
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

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.