LEADER 04339nam 22006495 450 001 9910410004303321 005 20251113181823.0 010 $a3-030-37663-X 024 7 $a10.1007/978-3-030-37663-5 035 $a(CKB)4100000011208567 035 $a(MiAaPQ)EBC6167057 035 $a(DE-He213)978-3-030-37663-5 035 $a(PPN)243761449 035 $a(MiAaPQ)EBC6166901 035 $a(EXLCZ)994100000011208567 100 $a20200406d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aElastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members $eApplications of the Bubnov-Galerkin and Finite Difference Methods /$fby Jan Awrejcewicz, Vadim A. Krysko 205 $a2nd ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (615 pages) 225 1 $aScientific Computation,$x2198-2589 311 08$a3-030-37662-1 320 $aIncludes bibliographical references. 327 $aIntroduction -- Coupled Thermoelasticity and Transonic Gas Flow -- Estimation of the Errors of the Bubnov?Galerkin Method -- Numerical Investigations of the Errors of the Bubnov?Galerkin Method -- Coupled Nonlinear Thermoelastic Problems -- Theory with Physical Nonlinearities and Coupling -- Nonlinear Problems of Hybrid-Form Equations -- Dynamics of Thin Elasto-Plastic Shells -- Mathematical Model of Cylindrical/Spherical Shell Vibrations -- Scenarios of Transition from Periodic to Chaotic Shell Vibrations -- Mathematical Models of Chaotic Vibrations of Closed Cylindrical Shells -- Chaotic Dynamics of Flexible Closed Cylindrical Nano-Shells Under Local Load -- Contact Interaction of Two Rectangular Plates Made From Different Materials -- Chaotic Vibrations of Flexible Shallow Axially Symmetric Shells -- Chaotic Vibrations of Two Euler-Bernoulli Beams With a Small Clearance -- Unsolved Problems in NonlinearDynamics of Thin Structural Members. 330 $aAdding seven new chapters integrating modern approaches to dynamical systems theory, this revised second edition describes numerical approaches to the nonlinear theory of beams, plates and shells, with an emphasis to the elastic and thermoelastic features. The added chapters discuss in particular how to understand, model, and obtain reliable results while detecting and analysing chaotic dynamics exhibited by thin structural members. The authors attempt to address the large impact of new directions of nonlinear dynamical phenomena in the context of the overall state-of-the art presented in the first book edition. They also present new perspectives of the unsolved problems of thin structural members. The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse andtrack the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviours. . 410 0$aScientific Computation,$x2198-2589 606 $aMathematical physics 606 $aMathematics$xData processing 606 $aMultibody systems 606 $aVibration 606 $aMechanics, Applied 606 $aTheoretical, Mathematical and Computational Physics 606 $aComputational Science and Engineering 606 $aMultibody Systems and Mechanical Vibrations 615 0$aMathematical physics. 615 0$aMathematics$xData processing. 615 0$aMultibody systems. 615 0$aVibration. 615 0$aMechanics, Applied. 615 14$aTheoretical, Mathematical and Computational Physics. 615 24$aComputational Science and Engineering. 615 24$aMultibody Systems and Mechanical Vibrations. 676 $a624.171 700 $aAwrejcewicz$b Jan$4aut$4http://id.loc.gov/vocabulary/relators/aut$059397 702 $aKrysko$b Vadim A$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910410004303321 996 $aElastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members$92022336 997 $aUNINA