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)

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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 (Advanced Structured Materials)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 402 p.
  • 言語 ENG
  • 商品コード 9783030559953

Full Description

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.

Contents

Nano-Structural Members in Various Fields, Literature Review.- Size-Dependent Theories of Beams, Plates and Shells.- Lyapunov Exponents and Methods of Their Analysis.- Reliability of Chaotic Vibrations of Euler-Bernoulli Beams withClearance.- Analysis of Simple Nonlinear Dynamical Systems.- Mathematical Models of Micro- and Nano-Cylindrical Panels inTemperature Field.- Mathematical Models of Functionally Graded Beams in Temperature Field.- Thermoelastic Vibrations of Timoshenko Microbeams (Modified Couple Stress Theory).- Vibrations of Size-Dependent Beams Under Topologic Optimization and Temperature Field.

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