Authors:
Editors:
- Based on 60 years of experience in teaching theoretical and applied mechanics at Saint Petersburg State University
- Is unique in the style and depth of presenting the material
- Corresponds to 4th edition of successful Russian textbook
- Contains a number of new chapters on both theoretical and applied mechanics
Part of the book series: Foundations of Engineering Mechanics (FOUNDATIONS)
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Table of contents (12 chapters)
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Front Matter
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Part I KINEMATICS
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Front Matter
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Part II DYNAMICS. GENERAL ASPECTS OF RATIONAL MECHANICS. FUNDAMENTALS OF ANALYTICAL MECHANICS
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Front Matter
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Back Matter
About this book
Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University.
The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied for the integration of equations of motion, and the elements of special relativity theory are presented.
This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.
Keywords
- Analytical Mechanics
- Stability of Motion
- Nonlinear Oscillations
- Dynamics and Statics of the Stewart Platform
- Mechanics Under Random Forces
- Elements of Control Theory
- Relations between Nonholonomic Mechanics and the Control Theory
- Vibration and Autobalancing of Rotor Systems
- Physical Theory of Impact
- Statics and Dynamics of a Thin Rod
Authors, Editors and Affiliations
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Faculty of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia
Petr Evgenievich Tovstik
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Faculty of Mathematics and Mechanics, Saint Petersburg State University, St. Petersburg, Russia
Nikolai Nikolaevich Polyakhov, Mikhail Petrovich Yushkov
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Saint Petersburg State University, St. Petersburg, Russia
Sergey Andreevich Zegzhda
About the editor
M. P. Yushkov, Dr. Sci. in Physics and Mathematics, Professor. He graduated from the Faculty of Mathematics and Mechanics of Leningrad University in 1957 and completed a post-graduate course at the Chair of Theoretical and Applied Mechanics. Since 1960 till now he has been working at this Chair. In 1987 he became a Laureate of the First premium of Leningrad University, and in 2011 he was awarded the Prize of Saint Petersburg State University “For scientific works”. He is a co-author (and partially a responsible editor) of four monographs on nonholonomic mechanics, one of them being translated into Chinese, and another being published in English by Springer Publishing Company. He is awarded a few medals and the Russian Federation Presidential Certificate of Honour and has got the title “Honorary Professor of Saint Petersburg State University”.
S. A. Zegzhda (1935-2015), Dr. Sci. in Physics and Mathematics, Professor. He graduated from the Faculty of Mathematics and Mechanics of Leningrad University in 1958 and completed a post-graduate course at the Chair of Theoretical and Applied Mechanics. Since 1958 till 2015 he had been working at this Chair. In 1987 he became a Laureate of the First premium of Leningrad University, and in 2011 he was awarded the Prize of Saint Petersburg State University “For scientific works”. He is a co-author of five monographs on the theory of impact and nonholonomic mechanics, one of them being translated into Chinese, and another being published in English by Springer Publishing Company. He was honoured with the title “Honorary Figure of Russian Higher Education”.
P. E. Tovstik is one of the leading scientists at Saint Petersburg State University (SPbGU). Honoured Scientist of the Russian Federation, recipient of the Order of Honour of the Russian Federation, Dr. Sci. in Physics and Mathematics. Since 1978 he has headed the Chair of Theoretical and Applied Mechanics at SPbGU. Of great importance is his contribution to the development and application of asymptotic methods to the theory of thin shells. He is a Laureate of the State Prize of the Russian Federation, a Laureate of M.A. Lavrentiev Prize of the Russian Academy of Sciences, a recipient of two first premiums of SPbGU for scientific works, an author of 10 books and over 260 papers. Among his pupils there are 9 Drs. Sci. in Physics and Mathematics and over 30 Cands. Sci. in Physics and Mathematics.
Bibliographic Information
Book Title: Rational and Applied Mechanics
Book Subtitle: Volume 1. Complete General Course for Students of Engineering
Authors: Nikolai Nikolaevich Polyakhov, Mikhail Petrovich Yushkov, Sergey Andreevich Zegzhda
Editors: Petr Evgenievich Tovstik
Translated by: O. S. Bukashkina, A. R. Alimov, G. A. Sinilshchikova, E. L. Belkind
Series Title: Foundations of Engineering Mechanics
DOI: https://doi.org/10.1007/978-3-030-64061-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-64060-6Published: 31 August 2021
Softcover ISBN: 978-3-030-64063-7Published: 01 September 2022
eBook ISBN: 978-3-030-64061-3Published: 30 August 2021
Series ISSN: 1612-1384
Series E-ISSN: 1860-6237
Edition Number: 1
Number of Pages: XVIII, 520
Number of Illustrations: 112 b/w illustrations
Topics: Theoretical and Applied Mechanics, Classical Mechanics, Systems Theory, Control, Control and Systems Theory, Applications of Nonlinear Dynamics and Chaos Theory