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

被引：27

作者：

Gülkan, P ^{[1
]}

Alemdar, BN ^{[1
]}

机构：

[1] Middle E Tech Univ, Dept Civil Engn, TR-06531 Ankara, Turkey

来源：

STRUCTURAL ENGINEERING AND MECHANICS | 1999年 / 7卷 / 03期

关键词：

two-parameter elastic foundation; Winkler model; Pasternak model; element stiffness matrix; work equivalent nodal force; consistent mass matrix; consistent geometrical stiffness matrix;

D O I：

10.12989/sem.1999.7.3.259

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

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.

引用

页码：259 / 276

页数：18