The representation of an elastic continuum as an elastic foundation for beams is considered. Relationships between the elastic foundation parameters and the elastic constants of the material are developed. One- (Winkler model), two-, and three-parameter foundation models are considered for the cases of infinite, semi-infinite, and finite length beams encased in infinite elastic bodies or supported by semi-infinite elastic bodies. Curves relating the model parameters to the elastic constants are given for a wide range of materials. Comparisons are made of results obtained by representing the supporting material as (1) an elastic foundation and (2) a three-dimensional elastic continuum.
No takes yet. Share an insight, caveat, or question.
Fletcher et al. (1971) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: