This completed downloadable of Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields: Regular and Chaotic Dynamics of Micro/Nano Beams, and Cylindrical Panels Jan Awrejcewicz
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Product details:
- ISBN 10: 3030559939
- ISBN 13: 9783030559939
- Author: Jan Awrejcewicz
This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.
Table of contents:
1. Nanostructural Members in Various Fields: A Literature Review
2. Size-Dependent Theories of Beams, Plates and Shells
3. Lyapunov Exponents and Methods of Their Analysis
4. Reliability of Chaotic Vibrations of Euler-Bernoulli Beams with Clearance
5. Analysis of Simple Nonlinear Dynamical Systems
6. Mathematical Models of Micro- and Nano-cylindrical Panels in Temperature Field
7. Mathematical Models of Functionally Graded Beams in Temperature Field
8. Thermoelastic Vibrations of Timoshenko Microbeams (Modified Couple Stress Theory)
9. Vibrations of Size-Dependent Beams Under Topologic Optimization
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