Dimensional Analysis
With Case Studies in Mechanics
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Beschreibung
Dimensional analysis is an essential scientific method and a powerful tool for solving problems in physics and engineering. This book starts by introducing the Pi Theorem, which is the theoretical foundation of dimensional analysis. It also provides ample and detailed examples of how dimensional analysis is applied to solving problems in various branches of mechanics. The book covers the extensive findings on explosion mechanics and impact dynamics contributed by the author’s research group over the past forty years at the Chinese Academy of Sciences.
The book is intended for advanced undergraduates and graduate students of physics and engineering, as well as research scientists and engineers working in related fields.
Qingming Tan is a former researcher at the Institute of Mechanics, the Chinese Academy of Sciences, China.
Dimensional analysis is an essential scientific method and a powerful tool for solving problems in physics and engineering. This book starts by introducing the Pi Theorem, which is the theoretical foundation of dimensional analysis. It also provides ample and detailed examples of how dimensional analysis is applied to solving problems in various branches of mechanics. The book covers the extensive findings on explosion mechanics and impact dynamics contributed by the author’s research group over the past forty years at the Chinese Academy of Sciences.
The book is intended for research scientists and engineers working in the fields of physics and engineering, as well as graduate students and advanced undergraduates of the related fields.
Qing-Ming Tan is a former Professor at the Institute of Mechanics, the Chinese Academy of Sciences, China.
Provides ample and detailed examples of how dimensional analysis is applied to solve problems in various branches of mechanics Adopts the approach that begins by separating the dependent variables from the independent variables on the basis of a physical analysis of the problem Reflects the rich research results on explosion mechanics and impact dynamics at the author’s group headed by Prof. C. M. Cheng during the past forty years
Autor*in
Qing-Ming Tan
Themen in »Dimensional Analysis«
Dimensional analysis High velocity impact Hydro-elasto-plastic model Normalization of mathematical simulation Pi theorem
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From the reviews:
“The reader is attracted by the variety of technological problems treatable with dimensional analysis, like resistance of ships, lubrication, water waves, deflections of beams, fracture, explosions, blasting and jets. Another merit of the book is that of the correct formulation of the mathematical versions of the problems considered. … recommended to specialists or to students.” (Piero Villaggio, Zentralblatt MATH, Vol. 1233, 2012)
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