Andrianov / Awrejcewicz / Danishevs'kyy Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions

1. Auflage 2014
ISBN: 978-1-118-72514-6
Verlag: John Wiley & Sons
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 288 Seiten, E-Book

Asymptotic Methods in the Theory of Plates with MixedBoundary Conditions comprehensively covers the theoreticalbackground of asymptotic approaches and their use in solvingmechanical engineering-oriented problems of structural members,primarily plates (statics and dynamics)
with mixed boundary conditions.
The first part of this book introduces the theory and applicationof asymptotic methods and includes a series of approaches that havebeen omitted or not rigorously treated in the existing literature.These lesser known approaches include the method of summation andconstruction of the asymptotically equivalent functions, methods ofsmall and large delta, and the homotopy perturbations method.
The second part of the book contains original results devoted tothe solution of the mixed problems of the theory of plates,including statics, dynamics and stability of the studied objects.In addition, the applicability of the approaches presented to otherrelated linear or nonlinear problems is addressed.
Key features:
* Includes analytical solving of mixed boundary valueproblems
* Introduces modern asymptotic and summationprocedures
* Presents asymptotic approaches for nonlinear dynamics ofrods, beams and plates
* Covers statics, dynamics and stability of plates withmixed boundary conditions
* Explains links between the Adomian and homotopyperturbation approaches
Asymptotic Methods in the Theory of Plates with MixedBoundary Conditions is a comprehensive reference forresearchers and practitioners working in the field of Mechanics ofSolids and Mechanical Engineering, and is also a valuable resourcefor graduate and postgraduate students from Civil and MechanicalEngineering.

Autoren/Hrsg.

Andrianov, Igor

Awrejcewicz, Jan

Danishevs'kyy, Vladyslav

Ivankov, Andrey

Über Autor(innen)

Igor V. Andrianov obtained his Master (1971) and PhD(1975) degrees from the Dnepropetrovsk State University (Ukraine).He obtained the Doctor of Sciences degree in Mechanics of Solidsfrom the Moscow State Institute of Electronics and Mathematics(Russia) in 1990. During 1974-1977, he was a Research Scientist atthe Dnipropetrovs'k State University, during 1977-1990, anAssociated Professor, and during 1990-1997, a Full Professor ofMathematics in the Dnepropetrovsk Civil Engineering Institute.Currently he is a Research Scientist in the RWTH Aachen Universityin Germany. Prof. Andrianov is the author or co-author of 12 booksand over 250 papers in refereed journals and conferenceproceedings. He has presented papers at numerous InternationalConferences, and he has supervised 25 PhD Theses. His researchinterests are in Mechanics of Solids, Nonlinear Dynamics, andAsymptotic Methods.
Jan Awrejcewicz graduated from Lodz University ofTechnology in 1977 (Mechanics) and from the University of Lodz in1978 (Philosophy). He obtained his PhD (Habilitation) in 1981(1990), and become a Full Professor in 1997. He has authored and/orco-authored 17 monographs in English; 2 textbooks; 12 editedconference proceedings; 275 journal papers; 340 conference papers;18 chapters in books. He has served as an editor of 9 books, and asa Guest-Editor of 15 journal special issues. His research includesNonlinear Mechanics, Mechatronics and Control, and Biomechanics. Heis a recipient of the Humboldt Research Award.
Vladyslav V. Danishevs'kyy obtained his Masters (1996),Ph.D. (1999) degrees, and Doctor of Sciences degree in StructuralMechanics (2008) from the Prydniprovska State Academy of CivilEngineering and Architecture, Ukraine. He is a Professor at thisState Academy. He has authored 2 monographs and over 70 refereedpapers. Among his awards are the Soros Post-GraduateStudent's Award (1997), Prize of the National Academy ofSciences of Ukraine for the best academic achievement among youngscientists (2000), Alexander von Humboldt Foundation ResearchFellowship (2001), NATO Research Fellowship (2003), NATOReintegration Grant (2005), and institutional academic co-operationgrant of the Alexander von Humboldt Foundation (2007). He conductedresearch at the Institute of General Mechanics in the RWTH AachenUniversity, Germany (2001-2002) and at the Group of Physicsof Materials in the University of Rouen, France (2003-2004).His research interests are in asymptotic methods, nonlineardynamics, and heterogeneous materials and structures.
Andrey O. Ivankov, PhD is the author of more than authorof more than 30 research publications. His main areas of researchinclude ODE, PDE, Mixed BVPs and Padé approximants.