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Drobot's algebraic theory of dimensional analysis in construction of system of mechanoelectric analogies. Application to the problems of acoustoelectric waves propagation in porous long bones
Author(s) -
Uklejewski R.,
Czapski T.
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410275
Subject(s) - isomorphism (crystallography) , linear subspace , algebraic number , porosity , mathematics , mathematical analysis , pure mathematics , engineering , chemistry , geotechnical engineering , crystal structure , crystallography
Basing on the algebraic theory of dimensional analysis given by S. Drobot [3] and extended by A. Muciek [4], the definition of a system of mechano–electric analogies has been proposed as an isomorphism of dimensional subspaces: of all the mechanic quantities Π m and of all the electric quantities Π e . The method of construction of systems electromechanical analogies has been given and applied to the problems of acousto–electric waves propagation in porous long bones in order to derive an unified method of analysis of these problems by means of the methods used in the electric transmission line theory. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)