Section 17
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
Article first published online: 22 DEC 2004
DOI: 10.1002/pamm.200410275
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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How to Cite
Uklejewski, R. and Czapski, T. (2004), 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. Proc. Appl. Math. Mech., 4: 588–589. doi: 10.1002/pamm.200410275
Publication History
- Issue published online: 22 DEC 2004
- Article first published online: 22 DEC 2004
- Abstract
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Abstract
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 Πm and of all the electric quantities Πe. 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)

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