Authors:
- Exemplifies the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members
- Offers a new class of generalized problems of diffraction in theory of shells based on the fundamental variational equations of thermomechanics of shallow shells
- Features new results regarding nonlinear dynamics of the studied objects, including regular and non-regular vibrations and their bifurcations
Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 42)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.
Reviews
“The book is easy to read. The reviewer enjoyed reading the book. The book is a welcome reading for academics, researchers and professionals interested in a rigorous and comprehensive study of modeling nonlinear phenomena governed by PDEs. The book will also be useful to graduate and doctoral students in mechanical, civil and aeronautical engineering, and to applied mathematicians and physicists.” (Girish Kumar Ramaiah, zbMATH 1436.74001, 2020)
Authors and Affiliations
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Department of Mathematics and Modeling, Saratov State Technical University, Saratov, Russia
Vadim A. Krysko, Maxim V. Zhigalov, Valeriy F. Kirichenko
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Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland
Jan Awrejcewicz
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Department of Applied Mathematics and Systems Analysis, Saratov State Technical University, Saratov, Russia
Anton V. Krysko
Bibliographic Information
Book Title: Mathematical Models of Higher Orders
Book Subtitle: Shells in Temperature Fields
Authors: Vadim A. Krysko, Jan Awrejcewicz, Maxim V. Zhigalov, Valeriy F. Kirichenko, Anton V. Krysko
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-3-030-04714-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-04713-9Published: 21 February 2019
eBook ISBN: 978-3-030-04714-6Published: 11 February 2019
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: XII, 470
Number of Illustrations: 6 b/w illustrations, 133 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Applications of Nonlinear Dynamics and Chaos Theory, Partial Differential Equations