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

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Advanced Structured Materials ; 142Publisher: Cham : Springer International Publishing, 2021Publisher: Cham : Imprint: Springer, 2021Edition: 1st ed. 2021Description: 1 Online-Ressource(XXI, 402 p. 146 illus., 139 illus. in color.)ISBN:
  • 9783030559939
Subject(s): Additional physical formats: 9783030559922 | 9783030559946 | 9783030559953 | Erscheint auch als: 9783030559922 Druck-Ausgabe | Erscheint auch als: 9783030559946 Druck-Ausgabe | Erscheint auch als: 9783030559953 Druck-AusgabeDDC classification:
  • 621 23
DOI: DOI: 10.1007/978-3-030-55993-9Online resources: Summary: 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.Summary: 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.PPN: PPN: 1737539365Package identifier: Produktsigel: ZDB-2-ENG | ZDB-2-SEB | ZDB-2-SXE
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