Preface
This book is devoted to researchers and teachers, as well as graduate students,
undergraduates and bachelors in mechanical engineering, nanomechanics, nanomaterials, nanostructures and applied mathematics. It serves as a research monograph which collects the latest developments in the field of nonlinear (chaotic)
dynamics of mass distributed-parameter nanomechanical structures. It can be
helpful for scientists and specialists interested in a rigorous and comprehensive
study of modelling nonlinear phenomena governed by PDEs. The monograph has a
unique pedagogical style that is particularly suitable for independent study and
self-education for many researchers and specialists who do not have time to attend
classes and lectures on the subject of the monograph. In addition, the book contents
stand for a good balance between Western and Eastern extensive studies of the
mathematical problems of nonlinear vibrations of structural members.
The authors of the proposed book work for many years in the theoretical aspects
of nonlinear dynamics of mechanical macroscale and nanoscale structures and
mathematical methods for solving problems governed by nonlinear PDEs. In spite
of numerous published papers, the following companion books dealing with similar
problems have been recently published:
1. J. Awrejcewicz, V.A. Krysko, I.V. Papkova, A.V. Krysko, Deterministic Chaos
in One-Dimensional Continuous Systems. World Scientific, New Jersey, 2016;
2. V.A. Krysko, J. Awrejcewicz, M.V. Zhigalov, V.F. Kirichenko, A.V. Krysko,
Mathematical Models of Higher Orders: Shells in Temperature Fields. Springer,
Switzerland, 2019.
The authors employ the accumulated experience and knowledge of the long
years of their research in the proposed monograph. This book will allow readers to
obtain their own new results in the field of nonlinear dynamics of continuous mass
(distributed-parameter) mechanical nanostructures, based on employing the ideas
contained in this monograph to design novel elements of micro/nanomechanical
systems, which are challenging in development of the modern engineering world.
The book material offers guidelines for the development of many sensory and
executive algorithms/functions used throughout, from the largest cargo ships to the
v
This book is devoted to researchers and teachers, as well as graduate students,
undergraduates and bachelors in mechanical engineering, nanomechanics, nanomaterials, nanostructures and applied mathematics. It serves as a research monograph which collects the latest developments in the field of nonlinear (chaotic)
dynamics of mass distributed-parameter nanomechanical structures. It can be
helpful for scientists and specialists interested in a rigorous and comprehensive
study of modelling nonlinear phenomena governed by PDEs. The monograph has a
unique pedagogical style that is particularly suitable for independent study and
self-education for many researchers and specialists who do not have time to attend
classes and lectures on the subject of the monograph. In addition, the book contents
stand for a good balance between Western and Eastern extensive studies of the
mathematical problems of nonlinear vibrations of structural members.
The authors of the proposed book work for many years in the theoretical aspects
of nonlinear dynamics of mechanical macroscale and nanoscale structures and
mathematical methods for solving problems governed by nonlinear PDEs. In spite
of numerous published papers, the following companion books dealing with similar
problems have been recently published:
1. J. Awrejcewicz, V.A. Krysko, I.V. Papkova, A.V. Krysko, Deterministic Chaos
in One-Dimensional Continuous Systems. World Scientific, New Jersey, 2016;
2. V.A. Krysko, J. Awrejcewicz, M.V. Zhigalov, V.F. Kirichenko, A.V. Krysko,
Mathematical Models of Higher Orders: Shells in Temperature Fields. Springer,
Switzerland, 2019.
The authors employ the accumulated experience and knowledge of the long
years of their research in the proposed monograph. This book will allow readers to
obtain their own new results in the field of nonlinear dynamics of continuous mass
(distributed-parameter) mechanical nanostructures, based on employing the ideas
contained in this monograph to design novel elements of micro/nanomechanical
systems, which are challenging in development of the modern engineering world.
The book material offers guidelines for the development of many sensory and
executive algorithms/functions used throughout, from the largest cargo ships to the
v