02985nam 2200481 450 991048480480332120210303230028.03-030-55993-910.1007/978-3-030-55993-9(CKB)4100000011493443(DE-He213)978-3-030-55993-9(MiAaPQ)EBC6370235(PPN)258304545(EXLCZ)99410000001149344320210303d2020 uy 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 /Jan Awrejcewicz [and three others]1st ed. 2021.Cham, Switzerland :Springer,[2020]©20201 online resource (XXI, 402 p. 146 illus., 139 illus. in color.) Advanced Structured Materials,1869-8433 ;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,1869-8433 ;142Materials scienceMechanical engineeringMaterials science.Mechanical engineering.621Awrejcewicz J(Jan),59397MiAaPQMiAaPQMiAaPQBOOK9910484804803321Mathematical modelling and numerical analysis of size-dependent structural members in temperature fields2847842UNINA