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


J. Awrejcewicz Jan Awrejcewicz [and three others].
Bok Engelsk 2020 J. Awrejcewicz,· Electronic books.
Utgitt
Springer International Publishing
Omfang
1 online resource (XXI, 402 p. 146 illus., 139 illus. in color.)
Utgave
1st ed. 2021.
Opplysninger
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.
Emner
Sjanger
Dewey
621
ISBN
3-030-55993-9

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