Rigid wheel/roller on infinite beam or plate attached to Winkler, Pasternak, or elastomeric foundation. (1st February 2023)

• Record Type: Journal Article
• Authors: Plaut, Raymond H.; Dillard, David A.
• Is Part Of: International journal of solids and structures. Volume 262/263(2023)
• Publication Date: 2023-02-01
• Subjects: Rigid wheel -- Infinite beam -- Infinite plate -- Winkler foundation -- Pasternak foundation -- Elastomeric foundation -- Compaction roller; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2022.112001
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: If a rigid wheel or roller acts on an infinitely-long beam or a narrow (1-D) plate that is attached to a deformable foundation, point contact or a region of circular contact may occur. The following problems are analyzed: (1) an Euler-Bernoulli beam or an elastica attached to a Winkler foundation; (2) an Euler-Bernoulli beam or an elastica attached to a Pasternak foundation; (3) an Euler-Bernoulli beam attached to a foundation with two different stiffnesses; (4) point contact of a moving wheel with constant speed on an Euler-Bernoulli beam or an elastica attached to a Winkler or Pasternak foundation; (5) point contact of a 1-D plate on an elastomeric foundation; and (6) point contact of a 1-D plate attached to a combined foundation (including Winkler and elastomeric actions). The Euler-Bernoulli beam model tends to predict larger maximum deflections than the elastica model. For small speeds, the maximum deflection increases as the speed increases.