05337nam 2200661Ia 450 991100654690332120200520144314.09789812797100981279710697816158387071615838708(CKB)3360000000000355(EBL)1193226(SSID)ssj0000530971(PQKBManifestationID)12150357(PQKBTitleCode)TC0000530971(PQKBWorkID)10569472(PQKB)10053357(MiAaPQ)EBC1193226(WSP)00001727(Perlego)846818(EXLCZ)99336000000000035519920921d1993 uy 0engur|n|---|||||txtccrA theory of latticed plates and shells /G.I. PshenichnovSingapore ;New Jersey World Scientific19931 online resource (324 p.)Series on advances in mathematics for applied sciences ;vol. 5Description based upon print version of record.9789810210496 9810210493 Includes bibliographical references.PREFACE; CONTENTS; CONSISTENTLY USED SYMBOLS; Chapter 1 RETICULATED SHELL THEORY: EQUATIONS; 1.1 Anisotropic Shell Theory: Basic Equations; 1.1.1 Static equations; 1.1.2 Geometric equations; 1.1.3 Constitutive equations for anisotropic shells; 1.2 Constitutive Equations in the Reticulated Shell Theory; 1.2.1 Constitutive equations for the rods of reticulated shells; 1.2.2 Constitutive equations for a calculation model; 1.2.3 Assessment of the deformation components and forces in the rods using the forces and moments of the calculation model1.2.4 Constitutive equations for an oblique-angled system of coordinates1.2.5 More complex version of the constitutive equations; 1.2.6 Study of the geometrical stability of the reticulated shell's calculation model. Deformation energy; 1.2.7 Boundary conditions; 1.3 More Precise Constitutive Equations in the Reticulated Shell Theory; 1.3.1 Allowance for transverse shear, cross-section warping and transverse deformation of rods; 1.3.2 Allowance for the rods' non-linear-elastic deformation; Chapter 2 DECOMPOSITION METHOD2.1 Solution of Equations and Boundary Value Problems by the Decomposition Method2.1.1 Decomposition method; 2.1.2 Merits of the method; 2.2 Application of the Decomposition Method for Particular Problems; 2.2.1 Analytical solutions; 2.2.2 Numerical solutions; Chapter 3 STATICS; 3.1 Plane Problem; 3.1.1 A plate with more than two families of rods; 3.1.2 A plate with two families of rods; 3.2 Bending of Plates; 3.2.1 Differential equation for bending; 3.2.2 A plate with a rhombic lattice; 3.2.3 A plate with more than two families of rods; 3.2.4 Plates with an elastic contour3.2.5 Plates made from composite material3.2.6 Plates made from nonlinear elastic material; 3.2.7 Bending of plate subjected to large deflections; 3.3 Shallow Shells; 3.3.1 Various differential equation systems for shallow shells subjected to medium bending; 3.3.2 Shallow shells with constant lattice parameters; 3.3.3 Shallow spherical shells; 3.4 Small Parameter Method in the Shallow Shell Theory; 3.4.1 Constitutive equations; 3.4.2 Differential equation system; 3.4.3 Small parameter method; 3.4.4 Numerical method for solving boundary iteration process problems3.4.5 Shallow non-circular cylindrical shells3.5 Circular Cylindrical Shells; 3.5.1 Differential equation system; 3.5.2 Cylindrical shell with a rhombic lattice; 3.5.3 Cylindrical shell with a square lattice; 3.5.4 Calculation tables for reticulated cylindrical shells; 3.6 Optimum Design of a Shell with an Orthogonal Lattice; 3.6.1 Statement of problem; 3.6.2 Solution using the optimal control theory; 3.7 Shells of Rotation; 3.7.1 Basic relationships and equations; 3.7.2 Axisymmetrical deformation; 3.7.3 Non-axisymmetrical deformation; 3.7.4 Cylindrical shell made from composite material3.7.5 Shell of rotation made from nonlinear elastic materialThe book presents the theory of latticed shells as continual systems and describes its applications. It analyses the problems of statics, stability and dynamics. Generally, a classical rod deformation theory is applied. However, in some instances, more precise theories which particularly consider geometrical and physical nonlinearity are employed. A new effective method for solving general boundary value problems and its application for numerical and analytical solutions of mathematical physics and reticulated shell theory problems is described. A new method of solving the shell theory's nonliSeries on advances in mathematics for applied sciences ;v. 5.Latticed plates and shellsElastic plates and shellsElastic solidsElastic plates and shells.Elastic solids.624.1/776/0151Pshenichnov G. I726741MiAaPQMiAaPQMiAaPQBOOK9911006546903321Theory of latticed plates and shells1422138UNINA