Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields

Regular and Chaotic Dynamics of Micro/Nano Beams, and Cylindrical Panels

Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko (Autoren)

Buch | Hardcover

XXI, 402 Seiten

2020 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-55992-2 (ISBN)

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This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.

From the beginning of his academic career Jan Awrejcewicz has been associated with the Mechanical Faculty of the Lodz University of Technology, where he obtained a master's degree in engineering, a PhD in technical sciences and a postdoctoral degree (habilitation). 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. He is also an Editor-in-Chief of 3 international journals and member of the Editorial Boards of 90 international journals (23 with IF) as well as editor of 25 books and 28 journal special issues. He also reviewed 45 monographs and textbooks and over 600 journal papers for about of 140 journals. His scientific achievements cover issues related to asymptotic methods for continuous and discrete mechanical systems, taking into account thermoelasticity and tribology, and computer implementations using symbolic calculus, nonlinear dynamics of mechanical systems with friction and impacts, as well as engineering biomechanics. He authored/co-authored over 780 journal papers and refereed international conference papers and 50 monographs. For his scientific merits he received numerous prestigious awards and distinctions, among them the Humboldt Award (twice) and titles of the Honorary Doctor of Czestochowa University of Technology (2013), University of Technology and Humanities in Bielsko-Biala (2013), Kielce University of Technology (2019), National Technical University "Kharkiv Polytechnic Institute" (2019), and Gdansk University of Technology (2019).

Nano-Structural Members in Various Fields, Literature Review.- Size-Dependent Theories of Beams, Plates and Shells.- Lyapunov Exponents and Methods of Their Analysis.- Reliability of Chaotic Vibrations of Euler-Bernoulli Beams withClearance.- Analysis of Simple Nonlinear Dynamical Systems.- Mathematical Models of Micro- and Nano-Cylindrical Panels inTemperature Field.- Mathematical Models of Functionally Graded Beams in Temperature Field.- Thermoelastic Vibrations of Timoshenko Microbeams (Modified Couple Stress Theory).- Vibrations of Size-Dependent Beams Under Topologic Optimization and Temperature Field.

Erscheinungsdatum	10.10.2020
Reihe/Serie	Advanced Structured Materials
Zusatzinfo	XXI, 402 p. 146 illus., 139 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	793 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
Themenwelt	Technik ► Maschinenbau
Schlagworte	Chaotic Vibrations • Euler-Bernoulli Beams • functionally graded beams • Lyapunov exponents • Nanocomposites • nonlinear dynamical systems • Timoshenko Microbeams
ISBN-10	3-030-55992-0 / 3030559920
ISBN-13	978-3-030-55992-2 / 9783030559922
Zustand	Neuware