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Classical Mechanics: Advances in Mechanics and Mathematics, cartea 29

Autor Jan Awrejcewicz
en Limba Engleză Hardback – 13 iul 2012

Remarcăm în acest volum o abordare riguroasă a problemelor de dinamică și mecanică avansată, unde exercițiile și studiile de caz nu sunt simple ilustrații, ci piloni de analiză pentru sisteme complexe. Autorul propune o explorare detaliată a dinamicii punctului material și a sistemelor rigide, culminând cu secțiuni aplicate despre vibrațiile sistemelor mecanice și dinamica planetelor. Structura cărții, organizată în 11 capitole, ghidează cititorul de la fundamentul coordonatelor generalizate și ecuațiile clasice ale dinamicii, până la subiecte de nișă precum teoria impactului sau stabilitatea mișcărilor staționare. Classical Mechanics extinde cadrul propus de Classical and Analytical Mechanics de Alexander S. Poznyak cu date noi din perspectiva ingineriei mecatronice și a stabilității sistemelor multibody. În timp ce lucrarea lui Poznyak pune accent pe interfața dintre sistemele electrice și mecanice, Jan Awrejcewicz se concentrează pe profunzimea analitică a dinamicii geometrice și a sistemelor cu masă variabilă. Această lucrare consolidează temele explorate de autor în Dynamical Systems Theory, dar cu un accent mult mai pronunțat pe fundamentele cinematice și statice necesare în modelarea matematică. Progresia conținutului este logică, facilitând tranziția de la mecanica teoretică la aplicații tehnice de precizie. Considerăm că includerea capitolului de dinamică geometrică reprezintă un element distinctiv, oferind instrumente moderne pentru cercetătorii care depășesc limitele manualelor universitare convenționale. Ediția din 2012, publicată de Springer, rămâne o referință actuală prin rigoarea matematică și claritatea cu care sunt tratate fenomenele de rezonanță și bifurcație, teme recurente în opera autorului.

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Specificații

ISBN-13: 9781461437390
ISBN-10: 1461437393
Pagini: 480
Ilustrații: XIV, 466 p.
Dimensiuni: 160 x 241 x 29 mm
Greutate: 0.83 kg
Ediția:2012
Editura: Springer
Colecția Advances in Mechanics and Mathematics
Seria Advances in Mechanics and Mathematics

Locul publicării:New York, NY, United States

Public țintă

Graduate

De ce să citești această carte

Această carte este esențială pentru cercetătorii și studenții de la nivel postuniversitar care doresc să stăpânească mecanica avansată dincolo de nivelul introductiv. Cititorul câștigă o înțelegere profundă a dinamicii sistemelor complexe, beneficiind de modele matematice pentru impact, vibrații și sisteme multibody. Este un instrument de lucru indispensabil pentru proiectarea în ingineria mecanică și civilă, oferind soluții teoretice pentru probleme practice dificile.


Despre autor

Jan Awrejcewicz este un reputat specialist în domeniul sistemelor dinamice și al mecanicii, cunoscut pentru contribuțiile sale vaste în modelarea matematică și simularea numerică. Opera sa include lucrări de referință precum Resonance și Nonlinearity, Bifurcation and Chaos, reflectând un interes constant pentru fenomenele fizice complexe. În cadrul seriei Advances in Mechanics and Mathematics, Awrejcewicz își utilizează experiența academică pentru a sintetiza teorii clasice și metode moderne, fiind un autor prolific a cărui activitate face puntea între cercetarea fundamentală și aplicațiile practice în inginerie.


Cuprins

Preface.- 1. Particle Dynamics, Material System Dynamics and Rigid Body Motion About a Point.- 2. Mathematical and Physical Pendulum.- 3. Statics and Dynamics in Generalized Coordinates.- 4. Classical Equations of Dynamics.- 5. Theory of Impact.- 6. Vibrations of Mechanical Systems.- 7. Elements of Dynamics of Planets.- 8. Dynamics of Systems of Variable Mass.- 9. Body and Multibody Dynamics.- 10. Stationary Motions of a Rigid Body and their Stability.​-11. Geometric Dynamics.

Recenzii

From the reviews:
“The book contains formulations, illustrations and discussions of dynamical and advanced mechanical problems. It is addressed to graduate and postgraduate students, and to researchers from mechanical and civil engineering and mechatronics. … the book by Awrejcewicz is a valuable addition to the literature on the subject, and I highly recommend it for the courses on advanced dynamics for engineering students.” (Teodor Atanackovic, zbMATH, Vol. 1270, 2013)

Notă biografică

Anton Krysko (A.V. Krysko) obtained his Ph.D. degree in Mechanics of Solids from the Department of Strength of Materials, Saratov State Technical University in 1995, D.Sci. degree in Mechanics of Solids 2003 and a habilitation from Saratov State Technical University in 2008. He has worked as a professor at the Department of Applied Mathematics and Theory Navigation Device as well as Head of the Department of Higher Mathematics and Mechanics. Currently he is a professor at the Department of Applied Mathematics and System Analysis. His research interests cover advanced numerical methods for MEMS / NEMS sensors, EEG signal processing, nonlinear dynamics and chaotic vibrations continues mechanical systems as well as nano-structures, thermoelasticity and thermoplasticity, the theory of optimization of mechanical systems. For his scientific merits, he received prestigious national awards and distinctions, among them the Diploma of the Ministry of Education and Science of the Russian Federation for the great and fruitful work on the preparation of the teaching staff; development of scientific research on topical issues of fundamental and applied science, 2011, Moscow, Russia
Vadim Krysko (V. A. Krysko) obtained his Ph.D. degree in Mechanics of Solids from the Department of Structural mechanics Saratov State Technical University, USSR in 1967, and D.Sci. degree in Mechanics of Solids from Moscow State University of Civil Engineering in 1978. In 1982 he became a full professor, the academic rank of professor obtained from the Department of Higher Mathematics, Saratov State Technical University. In 2008 he founded the Department of Mathematics and Modeling, that he still manages. His research interest are on thermoelasticity and thermoplasticity, the theory of optimization of mechanical systems, the theory of propagation of elastic waves upon impact, the theory of coupled problems of thermoelasticity and the interaction of flexible elastic shellswith a transonic gas flow, numerical methods for solving nonlinear problems of shells theory, nonlinear dynamics and chaos in MEMS / NEMS resonators, nonlinear dynamics of nano structures as well as signal processing for brain-computer interfaces (BCI) and EEG signal processing. For his scientific achievements, he received prestigious awards and distinctions, including the title of Honored Personality of science and technology of the Russian Federation for special merits in the field of science and technology (1987), and titles of Doctor Honoris Causa of the Lodz University of Technology, Poland (2012). Vadim Krysko opened and developed novel scientific directions for research in the construction, justification and numerical implementation of new classes of equations of mathematical physics of hyperbolic-parabolic types and proposed effective methods for their numerical solution.
Jan Awrejcewicz obtained his PhD in technical sciences and a postdoctoral degree (habilitation) at the Mechanical Faculty of the Lodz University of Technology. In 1994, he received the title of Professor from the President of Poland. In 1998 he founded the Department of Automation, Biomechanics and Mechatronics, that he is still managing. Since 2013 he has been a member of the Polish Central Commission for Degrees and Titles, and since 2019 also of the Council for Scientific Excellence. His scientific achievements cover asymptotic methods for continuous and discrete mechanical systems considering thermoelasticity and tribology, and computer implementations using symbolic calculus, nonlinear dynamics of mechanical systems with friction and impacts, as well as engineering biomechanics. For his scientific merits he received numerous prestigious awards and distinctions, among them the Humboldt Award (twice) and titles of the Honorary Doctor of Cz¿stochowa University of Technology (2013), University of Technology and Humanities in Bielsko-Biäa (2013),Kielce

Textul de pe ultima copertă

This is the second volume of three books, by the same author, devoted to classical mechanics. In this book,  Classical Mechanics: Dynamics, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts by comparison to standard text books and monographs. Aside from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and instructors, from the fields of mechanical and civil engineering, this volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference  for researchers in applied mathematics and physical sciences.
Chapter 1 covers dynamics of a particle and systems of particles, as well as rigid body motion about a point. Mathematical and physical pendulums are discussed in Chapter 2, and Chapter 3 presents static and dynamic problems of discrete mechanical systems. Classical equations of mechanics are studied in Chapter 4, and Chapter 5 introduces and illustrates classical impact theory. Chapter 6 deals with the vibrations of mechanical systems, and Chapter 7 briefly studies the dynamics of planets. Dynamics of variable mass systems are presented in Chapter 8, and body and multibody dynamics are studied in Chapter 9. A geometric approach to dynamical problems is the focus of Chapter 10, and Chapter 11 ends the text with  geometric dynamics.

Caracteristici

Provides the reader with a step-by-step introduction to the material, enabling them to learn quickly Makes a bridge between theoretical (physics) and applied (engineering) classical mechanics Contains numerous examples supported by color figures, illustrating various theoretical concepts? Includes supplementary material: sn.pub/extras