LEADER 02985nam 2200481 450 001 9910484804803321 005 20210303230028.0 010 $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 $a20210303d2020 uy 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 $eregular and chaotic dynamics of micro/nano beams, and cylindrical panels /$fJan Awrejcewicz [and three others] 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$dİ2020 215 $a1 online resource (XXI, 402 p. 146 illus., 139 illus. in color.) 225 1 $aAdvanced Structured Materials,$x1869-8433 ;$v142 311 $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,$x1869-8433 ;$v142 606 $aMaterials science 606 $aMechanical engineering 615 0$aMaterials science. 615 0$aMechanical engineering. 676 $a621 700 $aAwrejcewicz$b J$g(Jan),$059397 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484804803321 996 $aMathematical modelling and numerical analysis of size-dependent structural members in temperature fields$92847842 997 $aUNINA