03151nam 22005175 450 991086317210332120251113201345.03-030-55993-910.1007/978-3-030-55993-9(CKB)4100000011493443(DE-He213)978-3-030-55993-9(MiAaPQ)EBC6370235(PPN)258304545(EXLCZ)99410000001149344320201008d2021 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierMathematical 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. Krysko1st ed. 2021.Cham :Springer International Publishing :Imprint: Springer,2021.1 online resource (XXI, 402 p. 146 illus., 139 illus. in color.) Advanced Structured Materials,1869-8441 ;1423-030-55992-0 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.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.Advanced Structured Materials,1869-8441 ;142Mechanical engineeringNanoscienceMechanical EngineeringNanophysicsMechanical engineering.Nanoscience.Mechanical Engineering.Nanophysics.621Awrejcewicz J(Jan),59397MiAaPQMiAaPQMiAaPQBOOK9910863172103321Mathematical modelling and numerical analysis of size-dependent structural members in temperature fields2847842UNINA