Analysis of Simple Nonlinear Dynamical Systems
Analysis of nonlinear oscillations of classical systems is carried out. It is devoted to feasible methods for the computation of Lyapunov exponents since there is no universal, verified and general method to compute their exact (in numerical sense) values
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Jan Awrejcewicz Anton V. Krysko Maxim V. Zhigalov Vadim A. Krysko
Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields Regular and Chaotic Dynamics of Micro/ Nano Beams, and Cylindrical Panels
Advanced Structured Materials Volume 142
Series Editors Andreas Öchsner, Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen, Germany Lucas F. M. da Silva, Department of Mechanical Engineering, Faculty of Engineering, University of Porto, Porto, Portugal Holm Altenbach , Faculty of Mechanical Engineering, Otto von Guericke University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany
Common engineering materials reach in many applications their limits and new developments are required to fulfil increasing demands on engineering materials. The performance of materials can be increased by combining different materials to achieve better properties than a single constituent or by shaping the material or constituents in a specific structure. The interaction between material and structure may arise on different length scales, such as micro-, meso- or macroscale, and offers possible applications in quite diverse fields. This book series addresses the fundamental relationship between materials and their structure on the overall properties (e.g. mechanical, thermal, chemical or magnetic etc.) and applications. The topics of Advanced Structured Materials include but are not limited to • classical fibre-reinforced composites (e.g. glass, carbon or Aramid reinforced plastics) • metal matrix composites (MMCs) • micro porous composites • micro channel materials • multilayered materials • cellular materials (e.g., metallic or polymer foams, sponges, hollow sphere structures) • porous materials • truss structures • nanocomposite materials • biomaterials • nanoporous metals • concrete • coated materials • smart materials Advanced Structured Materials is indexed in Google Scholar and Scopus.
More information about this series at http://www.springer.com/series/8611
Jan Awrejcewicz Anton V. Krysko Maxim V. Zhigalov Vadim A. Krysko •
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Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields Regular and Chaotic Dynamics of Micro/Nano Beams, and Cylindrical Panels
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Jan Awrejcewicz Department of Automation, Biomechanics and Mechatronics Lodz University of Technology Łódź, Poland Maxim V. Zhigalov Department of Mathematics and Modeling Saratov State Technical University Saratov, Russia
Anton V. Krysko Applied Mathematics and Systems Analysis Saratov State Technical University Saratov, Russia Vadim A. Krysko Department of Mathematics and Modeling Saratov State Technical University Saratov, Russia
ISSN 1869-8433 ISSN 1869-8441 (electronic) Advanced Structured Materials ISBN 978-3-030-55992-2 ISBN 978-3-030-55993-9 (eBook) https://doi.org/10.1007/978-3-030-55993-9 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021 This work is subject to copyrig
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