Asymptotic Methods in the Theory of Plates with Mixed
Boundary Conditions comprehensively covers the theoretical
background of asymptotic approaches and their use in solving
mechanical 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 application
of asymptotic methods and includes a series of approaches that have
been omitted or not rigorously treated in the existing literature.
These lesser known approaches include the method of summation and
construction of the asymptotically equivalent functions, methods of
small and large delta, and the homotopy perturbations method.
The second part of the book contains original results devoted to
the 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 other
related linear or nonlinear problems is addressed.
Key features:
* Includes analytical solving of mixed boundary value
problems
* Introduces modern asymptotic and summation
procedures
* Presents asymptotic approaches for nonlinear dynamics of
rods, beams and plates
* Covers statics, dynamics and stability of plates with
mixed boundary conditions
* Explains links between the Adomian and homotopy
perturbation approaches
Asymptotic Methods in the Theory of Plates with Mixed
Boundary Conditions is a comprehensive reference for
researchers and practitioners working in the field of Mechanics of
Solids and Mechanical Engineering, and is also a valuable resource
for graduate and postgraduate students from Civil and Mechanical
Engineering.
Об авторе
Igor V. Andrianov obtained his Master (1971) and Ph D
(1975) degrees from the Dnepropetrovsk State University (Ukraine).
He obtained the Doctor of Sciences degree in Mechanics of Solids
from the Moscow State Institute of Electronics and Mathematics
(Russia) in 1990. During 1974-1977, he was a Research Scientist at
the Dnipropetrovs’k State University, during 1977-1990, an
Associated Professor, and during 1990-1997, a Full Professor of
Mathematics in the Dnepropetrovsk Civil Engineering Institute.
Currently he is a Research Scientist in the RWTH Aachen University
in Germany. Prof. Andrianov is the author or co-author of 12 books
and over 250 papers in refereed journals and conference
proceedings. He has presented papers at numerous International
Conferences, and he has supervised 25 Ph D Theses. His research
interests are in Mechanics of Solids, Nonlinear Dynamics, and
Asymptotic Methods.
Jan Awrejcewicz graduated from Lodz University of
Technology in 1977 (Mechanics) and from the University of Lodz in
1978 (Philosophy). He obtained his Ph D (Habilitation) in 1981
(1990), and become a Full Professor in 1997. He has authored and/or
co-authored 17 monographs in English; 2 textbooks; 12 edited
conference proceedings; 275 journal papers; 340 conference papers;
18 chapters in books. He has served as an editor of 9 books, and as
a Guest-Editor of 15 journal special issues. His research includes
Nonlinear Mechanics, Mechatronics and Control, and Biomechanics. He
is 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 Structural
Mechanics (2008) from the Prydniprovska State Academy of Civil
Engineering and Architecture, Ukraine. He is a Professor at this
State Academy. He has authored 2 monographs and over 70 refereed
papers. Among his awards are the Soros Post-Graduate
Student’s Award (1997), Prize of the National Academy of
Sciences of Ukraine for the best academic achievement among young
scientists (2000), Alexander von Humboldt Foundation Research
Fellowship (2001), NATO Research Fellowship (2003), NATO
Reintegration Grant (2005), and institutional academic co-operation
grant of the Alexander von Humboldt Foundation (2007). He conducted
research at the Institute of General Mechanics in the RWTH Aachen
University, Germany (2001-2002) and at the Group of Physics
of Materials in the University of Rouen, France (2003-2004).
His research interests are in asymptotic methods, nonlinear
dynamics, and heterogeneous materials and structures.
Andrey O. Ivankov, Ph D is the author of more than author
of more than 30 research publications. His main areas of research
include ODE, PDE, Mixed BVPs and Padé approximants.
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