Beams on Variable Two‐Parameter Elastic Foundation
Authors:
- 1 October 1987
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Engineering Mechanics
- Vol. 113 (10) , 1454-1466
Abstract
Two methods for the solution of beams on variable two‐parameter elastic foundation are presented. The first is based on using the exact shape functions for beams on variable two‐parameter foundation, in order to obtain the stiffness, consistent mass, and geometric stiffness matrices. The second is based on using the cubic shape functions of a regular beam element and adding the contribution of the foundation as element foundation stiffness matrices. The two solutions are compared in an example that includes static, buckling, and vibration frequency analyses.Keywords
This publication has 6 references indexed in Scilit:
- Vibrations and buckling of a beam on a variable winkler elastic foundationJournal of Sound and Vibration, 1987
- Beams on Variable Winkler Elastic FoundationJournal of Applied Mechanics, 1986
- Stability of beams on elastic foundationComputers & Structures, 1986
- Finite Elements for Structural AnalysisJournal of Applied Mechanics, 1984
- Beam Elements on Two-Parameter Elastic FoundationsJournal of Engineering Mechanics, 1983
- Elastic and Viscoelastic Foundation ModelsJournal of Applied Mechanics, 1964