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

Date

1999-03-01

Author

Gulkan, P
Alemdar, BN

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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.

Subject Keywords

Two-parameter elastic foundation, Winkler model, Consistent geometrical stiffness matrix, Consistent mass matrix, Work equivalent nodal force, Pasternak model, Element stiffness matrix

URI

https://hdl.handle.net/11511/65659

Journal

STRUCTURAL ENGINEERING AND MECHANICS

DOI

https://doi.org/10.12989/sem.1999.7.3.259

Collections

Department of Civil Engineering, Article

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Citation Formats

P. Gulkan and B. Alemdar, “An exact finite element for a beam on a two-parameter elastic foundation: a revisit,” STRUCTURAL ENGINEERING AND MECHANICS, pp. 259–276, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65659.