LEADER 04212nam 2200493 450 001 9910488702503321 005 20231110215901.0 010 $a3-030-71326-1 035 $a(CKB)5590000000519726 035 $a(MiAaPQ)EBC6665419 035 $a(Au-PeEL)EBL6665419 035 $a(OCoLC)1259588509 035 $a(EXLCZ)995590000000519726 100 $a20220322d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMicropolar theory of shells and plates /$fSergey A. Ambartsumian 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (187 pages) 225 1 $aFoundations of Engineering Mechanics 311 $a3-030-71325-3 320 $aIncludes bibliographical references. 327 $aIntro -- Preface -- Preface to the Second Edition -- References -- Introduction -- References -- Contents -- 1 Main Equations and Relations of the Theory of Non-symmetric Elasticity -- 1.1 Preliminary Remarks -- 1.2 Equations of Motion -- 1.3 Defining Equations or the Law of Small Elastic Deformations -- 1.4 Compatibility Equations -- 1.5 Orthogonal Curvilinear System of Coordinates -- 1.6 Main Equations and Correlations in the Case of the Geometrically Nonlinear Problem -- References -- 2 Bending of Plates -- 2.1 Remarks -- 2.2 Initial Assumptions and Hypothesis -- 2.3 Stresses, Internal Forces, and Momenta -- 2.4 Averaged Equations of Motion and Boundary Conditions -- 2.5 Another Example of a Bending Equation of a Pate at X pm = 0,Y pm = 0 -- 2.6 Theory of Bending of a Plate at ?= 0 -- 2.7 Axisymmetric Bending of a Plate -- 2.8 Few Remarks on the New Generalizing Elasticity Constant -- References -- 3 Some Trivial Problems of Plates -- 3.1 Remarks -- 3.2 Bending of a Plate Over a Cylindrical Surface -- 3.3 A Sample Problem of Bending of a Hinged Rectangular Plate Under Normally Applied Sinusoidal Load -- 3.4 Bending of a Hinged Rectangular Plate Under Arbitrary, Normally Applied Load -- 3.5 Bending of a Semi-infinite Plate by a Load Distributed Along the Edge -- 3.6 On the Problem of Axisymmetric Bending of a Circular Plate -- 3.7 Yet Another Problem of the Statical Stability of a Plate -- 3.8 Free Vibrations of a Plate: One-Dimensional Problem -- 3.9 Free Vibrations of a Rectangular Plate Hinged Along the Entire Contour -- References -- 4 Membrane Theory of Plates -- 4.1 Remarks -- 4.2 Initial Statements and Hypothesis -- 4.3 Stresses, Internal Forces, and Momenta -- 4.4 Averaged Equations of Motion and Boundary Conditions -- 4.5 Cylindrical Shell -- 4.6 Some Problems of a Circular Cylindrical Shell. 327 $a4.7 Axisymmetrically Loaded Shells of Revolution -- 4.8 Membrane Theory of Very Shallow Shells -- References -- 5 Theory of Very Shallow Shells -- 5.1 Remarks -- 5.2 Initial Statement and Hypothesis -- 5.3 Stresses, Internal Forces and Momenta -- 5.4 Averaged Equations of Motions and Boundary Conditions -- 5.5 Circular Cylindrical Shell -- 5.6 Axisymmetrically Loaded Shells of Revolution -- 5.7 Axisymmetric Vibrations of a Circular Cylindrical Shell -- References -- 6 Other Aspects of the Theory of Plates and Shells -- 6.1 Remarks -- 6.2 Geometrically Nonlinear Theory of Rectangular Plates -- 6.3 Rectangular Plate Hinged Along the Entire Contour. Nonlinear Problem -- 6.4 Theory of Very Shallow Shells. Full Account of the Transverse Shifts -- 6.5 Bending of a Plate Along a Cylindrical Surface -- References. 410 0$aFoundations of Engineering Mechanics 606 $aPlates (Engineering) 606 $aShells (Engineering) 606 $aMechanical engineering 615 0$aPlates (Engineering) 615 0$aShells (Engineering) 615 0$aMechanical engineering. 676 $a624.17762 700 $aAmbart?s?umi?a?n$b S. A$g(Sergei? Aleksandrovich),$01219833 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910488702503321 996 $aMicropolar theory of shells and plates$92820469 997 $aUNINA