Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields: Regular and Chaotic Dynamics of Micro/Nano Beams, and Cylindrical Panels

✍ Scribed by Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko

• Publisher: Springer International Publishing;Springer
• Year: 2021
• Tongue: English
• Leaves: 419
• Series: Advanced Structured Materials 142
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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

Front Matter ....Pages i-xxi
Nanostructural Members in Various Fields: A Literature Review (Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko)....Pages 1-23
Size-Dependent Theories of Beams, Plates and Shells (Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko)....Pages 25-78
Lyapunov Exponents and Methods of Their Analysis (Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko)....Pages 79-91
Reliability of Chaotic Vibrations of Euler-Bernoulli Beams with Clearance (Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko)....Pages 93-112
Analysis of Simple Nonlinear Dynamical Systems (Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko)....Pages 113-129
Mathematical Models of Micro- and Nano-cylindrical Panels in Temperature Field (Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko)....Pages 131-195
Mathematical Models of Functionally Graded Beams in Temperature Field (Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko)....Pages 197-294
Thermoelastic Vibrations of Timoshenko Microbeams (Modified Couple Stress Theory) (Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko)....Pages 295-332
Vibrations of Size-Dependent Beams Under Topologic Optimization and Temperature Field (Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko)....Pages 333-402

✦ Subjects

Engineering; Mechanical Engineering; Materials Science, general