Structural Engineering and Mechanics

  • 제7권3호
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  • Pages.259-276
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  • 1999
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

An exact finite element for a beam on a two-parameter elastic foundation: a revisit

  • Gulkan, P. (Department of Civil Engineering, Middle East Technical University) ;
  • Alemdar, B.N. (Department of Civil Engineering, Middle East Technical University)
  • 발행 : 1999.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

An analytical solution for the shape functions of a beam segment supported on a generalized two-parameter elastic foundation is derived. The solution is general, and is not restricted to a particular range of magnitudes of the foundation parameters. The exact shape functions can be utilized to derive exact analytic expressions for the coefficients of the element stiffness matrix, work equivalent nodal forces for arbitrary transverse loads and coefficients of the consistent mass and geometrical stiffness matrices. As illustration, each distinct coefficient of the element stiffness matrix is compared with its conventional counterpart for a beam segment supported by no foundation at all for the entire range of foundation parameters.

키워드

참고문헌

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