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Classical Mechanics: Advances in Mechanics and Mathematics, cartea 28

Autor Jan Awrejcewicz
en Limba Engleză Hardback – 26 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: 9781461437901
ISBN-10: 1461437903
Pagini: 456
Ilustrații: XIII, 440 p.
Dimensiuni: 160 x 241 x 29 mm
Greutate: 0.79 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.


Descriere scurtă

This is the first volume of three, devoted to Mechanics. This book contains classical mechanics problems including kinematics and statics. It is recommended as a supplementary textbook for undergraduate and graduate students from mechanical and civil engineering, as well as for physical scientists and engineers. It contains a basic introduction to classical mechanics, including fundamental principles, statics, and the geometry of masses, as well as thorough discussion on kinematics.

Cuprins

Preface.- 1. Fundamental Principles of Mechanics.- 2. Statics.- 3. Geometry of Masses.- 4. Kinematics of a Particle and Introduction to Kinematics of Rigid Bodies.- 5. Kinematics of a Rigid Body and Composite Motion of a Point.- 6. Kinematics of a Deformable Body.

Recenzii

From the reviews:
“This book presents classical mechanics including kinematics and statics, and can be recommended as a textbook for undergraduate and graduate students in mechanical and civil engineering and applied physics. … This excellent book unifies different approaches to the subject in the English, Russian, Polish and German literature.” (Vasile Marinca, zbMATH, Vol. 1268, 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 first volume of three books by the same author, devoted entirely to classical mechanics. The triad of works covers different subjects in classical mechanics and creates a link between them by deriving topics from the same root. Moreover, the author unifies different approaches from English, Russian, Polish, and German literature devoted to classical mechanics. Emphasis is placed on the study of electro-magneto-mechanical systems.
Classical Mechanics: Kinematics and Statics is addressed to a wide spectrum of undergraduate and 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.  It is also recommended as a supplementary textbook at the upper undergraduate and graduate levels.
In Chapter 1 the fundamental principles of mechanics are formulated, illustrated, and discussed. Chapter 2 is devoted to statics and Chapter 3 presents the geometry of masses.  Kinematics of a particle, the curvilinear and normal coordinates, and kinematic pairs and chains are the main focus of Chapter 4. Chapter 5 studies the kinematics of a rigid body and a composite motion of a particle. Chapter 6 ends the text with kinematics of a deformable  body.

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