Moving load on a plate resting on an elastic half space

J. D. Achenbach, S. P. Keshava, G. Herrmann

Research output: Contribution to journalArticlepeer-review

65 Scopus citations


An elastic plate supported by a semi-infinite elastic continuum is subjected to a moving line load. Both welded and smooth contact between plate and foundation are considered. Dynamic solutions for the bending moments in the plate are presented that are time-invariant relative to a coordinate system moving with the load. Resonance effects at certain critical velocities are discussed. The response of the system depends significantly on the relative stiffness of plate and half space and on the type of contact. For the relatively stiff plate certain resonances occur for smooth contact but not for welded contact. For subcritical load velocities the bending moments are calculated and compared with corresponding bending moments for a plate on a Winkler foundation. The Winkler foundation is adequate for smooth contact and small load velocities.

Original languageEnglish (US)
Pages (from-to)910-914
Number of pages5
JournalJournal of Applied Mechanics, Transactions ASME
Issue number4
StatePublished - 1964
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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