LEADER 03151nam 22005175 450 001 9910863172103321 005 20251113201345.0 010 $a3-030-55993-9 024 7 $a10.1007/978-3-030-55993-9 035 $a(CKB)4100000011493443 035 $a(DE-He213)978-3-030-55993-9 035 $a(MiAaPQ)EBC6370235 035 $a(PPN)258304545 035 $a(EXLCZ)994100000011493443 100 $a20201008d2021 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields $eRegular and Chaotic Dynamics of Micro/Nano Beams, and Cylindrical Panels /$fby Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (XXI, 402 p. 146 illus., 139 illus. in color.) 225 1 $aAdvanced Structured Materials,$x1869-8441 ;$v142 311 08$a3-030-55992-0 327 $aNano-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. 330 $aThis book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members. 410 0$aAdvanced Structured Materials,$x1869-8441 ;$v142 606 $aMechanical engineering 606 $aNanoscience 606 $aMechanical Engineering 606 $aNanophysics 615 0$aMechanical engineering. 615 0$aNanoscience. 615 14$aMechanical Engineering. 615 24$aNanophysics. 676 $a621 700 $aAwrejcewicz$b J$g(Jan),$059397 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910863172103321 996 $aMathematical modelling and numerical analysis of size-dependent structural members in temperature fields$92847842 997 $aUNINA