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Exact one‐dimensional mapping of axially symmetric elastic contacts with superimposed normal and torsional loading
Author(s) -
Willert E.,
Popov V. L.
Publication year - 2017
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201600028
Subject(s) - axial symmetry , slip (aerodynamics) , mathematical analysis , constant (computer programming) , reduction (mathematics) , classical mechanics , mathematics , geometry , physics , computer science , thermodynamics , programming language
An exact method is presented to map axially symmetric, elastic, partial slip torsional contact problems with a constant coefficient of friction onto contacts with an elastic foundation of springs. This kind of mapping, called Method of Dimensionality Reduction is thereby extended for the usage in calculations including torsional contacts. All necessary steps for the mapping are given, analytically proven and illustrated by examples.