Kniha Fractional Analysis I.V. Novozhilov

Fractional Analysis

Methods of Motion Decomposition

Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer, Basel
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
1 147
This book considers methods of approximate analysis of mechanical, elec tromechanical, and other sys...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
1997
Stránek
232
EAN
9780817638894
ISBN
081763889X
Enbook ID
01399120
Vydavatel
Hmotnost
531
Rozměry
156 x 234 x 15

Kompletní popis

This book considers methods of approximate analysis of mechanical, elec tromechanical, and other systems described by ordinary differential equa tions. Modern mathematical modeling of sophisticated mechanical systems consists of several stages: first, construction of a mechanical model, and then writing appropriate equations and their analytical or numerical ex amination. Usually, this procedure is repeated several times. Even if an initial model correctly reflects the main properties of a phenomenon, it de scribes, as a rule, many unnecessary details that make equations of motion too complicated. As experience and experimental data are accumulated, the researcher considers simpler models and simplifies the equations. Thus some terms are discarded, the order of the equations is lowered, and so on. This process requires time, experimentation, and the researcher's intu ition. A good example of such a semi-experimental way of simplifying is a gyroscopic precession equation. Formal mathematical proofs of its admis sibility appeared some several decades after its successful introduction in engineering calculations. Applied mathematics now has at its disposal many methods of approxi mate analysis of differential equations. Application of these methods could shorten and formalize the procedure of simplifying the equations and, thus, of constructing approximate motion models. Wide application of the methods into practice is hindered by the fol lowing. 1. Descriptions of various approximate methods are scattered over the mathematical literature. The researcher, as a rule, does not know what method is most suitable for a specific case. 2.

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