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

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

Beams on generalized foundations: Supplementary element matrices

A general analytical solution for the shape functions of a linear beam segment supported on a two-parameter elastic foundation is derived. The solution is not restricted to a particular range of magnitudes of the foundation parameters, The closed form shape functions are utilized to derive analytic expressions for work equivalent nodal forces for arbitrary transverse loads and coefficients of the consistent mass and geometrical stiffness matrices, Each work equivalent nodal force and each coefficient of the element matrices is compared with its conventional counterpart for an ordinary beam segment supported by no foundation, (C) 1997 Elsevier Science Ltd

BBÖ-provsträckor på väg E18 vid Enköping : Byggnadsrapport samt resultat efter 1 års trafik

none3siAlmeida, Joao P.; Correia, Antonio A.; Pinho, RuiAlmeida, Joao P.; Correia, Antonio A.; SILVA MOURA PINHO, RUI JORG