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Title: Continuity in foundation models and related problems
Authors: New York University. Department of Aeronautics and Astronautics
Kerr, Arnold D.
Keywords: Foundations
Foundation construction
Foundation models
Elastic plates
Elastic shells
Mathematical models
Mathematical analysis
Publisher: Cold Regions Research and Engineering Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: Research report (Cold Regions Research and Engineering Laboratory (U.S.)) ; 109.
Description: Research Report
Summary: The present paper contains a critical study of a number of foundation models suggested by various investigators, as well as a further development of some of the ideas involved. It is found that the model by Pasternak is the most natural extension of the Winkler foundation. It is also shown that the "non-solvability" of the problem of a finite bean or plate resting on a continuous foundation as posed by Wieghardt and further elaborated by Pflanz is not correct, and that problems of this type are solvable for any load distribution permissible in classical plate theory. The paper concludes with derivations of differential equations for plates resting on viscous and viscoelastic foundations, which may be used for solving problems involving compacted snow and permafrost bases.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Research Report

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