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Zusammenhang von Dehnungsverteilung und Formabweichung beim Spannen von Ringen
Author(s) -
Sölter J.
Publication year - 2012
Publication title -
materialwissenschaft und werkstofftechnik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.285
H-Index - 38
eISSN - 1521-4052
pISSN - 0933-5137
DOI - 10.1002/mawe.201100883
Subject(s) - clamping , ring (chemistry) , finite element method , amplitude , mathematics , strain (injury) , constant (computer programming) , basis (linear algebra) , geometry , mathematical analysis , structural engineering , physics , engineering , chemistry , mechanical engineering , optics , computer science , organic chemistry , medicine , programming language
In 2010 Frerichs et al. proposed a comparatively simple equation describing the relationship between shape deviations and the internal strain state of a ring. It can also be applied to predict shape deviations of rings on the basis of one analyzed clamping case. In this paper the validity of the equation is shown for elastic and elastic‐plastic deformations of rings fixed in k clamping jaws (k = 2, 3, 4, 6) in analytical and 3D Finite Element Analyses, respectively. The theoretical results are in very good agreement with Frerichs' formula for both cases. However, in the elastic case constant strain energy for different numbers of clamping jaws seems to be the necessary and sufficient prerequisite to use Frerichs' approach for predicting amplitudes of order k based on the knowledge of a certain amplitude a n≠k . For a given ring geometry this is fulfilled in the elastic case, if clamping forces are proportional to k 2 –1.