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A contribution to the computation of rotor moments of inertia suitable for computer processing
Author(s) -
Witfeld H.
Publication year - 1984
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620200204
Subject(s) - computation , axial symmetry , rotor (electric) , moment of inertia , mathematical analysis , mathematics , bounded function , boundary (topology) , domain (mathematical analysis) , geometry , volume integral , inertia , algorithm , classical mechanics , physics , integral equation , quantum mechanics
Abstract For the two most common rotor types–the cylindrical rotor with an arbitrarily shaped cross‐section and the axially symmetrical rotor with an arbitrary contour of the longitudinal section–algorithms for the computation of the moments of inertia with respect to the major axes are developed, which are particularly suitable for digital computer programming. In both cases the volume integrals can be reduced to area integrals which in turn can be reduced to contour integrals along the boundary of the generating area. The boundary can be approximated as accurately as desired by a polygonal course. For the area moments of any order of the resulting polygonal bounded domain, an analytical solution is presented, for whose numerical calculation only the co‐ordinates of the corner points are required. Hence the preparations for data processing are reduced to the absolutely necessary minimum.