| 书目名称 | Fractional Analysis | | 副标题 | Methods of Motion De | | 编辑 | Igor V. Novozhilov | | 视频video | | | 图书封面 |  | | 描述 | 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 approx | | 出版日期 | Book 1997 | | 关键词 | Analysis; Finite; Mathematics; average; calculus; equation; pdc; theorem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-4130-0 | | isbn_softcover | 978-1-4612-8667-7 | | isbn_ebook | 978-1-4612-4130-0 | | copyright | Birkhäuser Boston 1997 |
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发表于 2025-3-21 17:06:47
