Mathematical modelling and numerical analysis of size-dependent structural members in temperature fields : regular and chaotic dynamics of micro/nano beams, and cylindrical panels

• 作者： Awrejcewicz, Jan, author.
• 其他作者：
  • Krysko, Anton V., author.
  • Zhigalov, Maxim V., author.
  • Krysko, Vadim A., author.
  • SpringerLink (Online service)
• 其他題名：
  • Advanced structured materials ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Advanced structured materials,volume 142
• 主題： Nonlinear mechanics. , Chaotic behavior in systems. , Continuum mechanics. , Nanostructured materials--Mechanical properties--Mathematical models. , Mechanical Engineering. , Materials Science, general.
• ISBN： 9783030559939 (electronic bk.) 、 9783030559922 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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 with Clearance -- Analysis of Simple Nonlinear Dynamical Systems -- Mathematical Models of Micro- and Nano-Cylindrical Panels in Temperature 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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• 摘要註: 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.
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