The Resource A theory of latticed plates and shells, G.I. Pshenichnov, (electronic resource)

A theory of latticed plates and shells, G.I. Pshenichnov, (electronic resource)

Label
A theory of latticed plates and shells
Title
A theory of latticed plates and shells
Statement of responsibility
G.I. Pshenichnov
Title variation
Latticed plates and shells
Creator
Subject
Genre
Language
  • eng
  • eng
Summary
The 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 nonli
Related
Member of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Pshenichnov, G. I
Dewey number
  • 511.33
  • 624.1/776/0151
  • 624.17760151
Illustrations
illustrations
Index
no index present
Language note
English
LC call number
QA935
LC item number
.P75 1993
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Series on advances in mathematics for applied sciences
Series volume
vol. 5
http://library.link/vocab/subjectName
  • Elastic plates and shells
  • Elastic solids
Label
A theory of latticed plates and shells, G.I. Pshenichnov, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • 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 model
  • 1.2.4 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 METHOD
  • 2.1 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 contour
  • 3.2.5 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 problems
  • 3.4.5 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 material
  • 3.7.5 Shell of rotation made from nonlinear elastic material
Dimensions
unknown
Extent
1 online resource (324 p.)
Form of item
online
Isbn
9789812797100
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)3360000000000355
  • (EBL)1193226
  • (SSID)ssj0000530971
  • (PQKBManifestationID)12150357
  • (PQKBTitleCode)TC0000530971
  • (PQKBWorkID)10569472
  • (PQKB)10053357
  • (MiAaPQ)EBC1193226
  • (WSP)00001727
  • (EXLCZ)993360000000000355
Label
A theory of latticed plates and shells, G.I. Pshenichnov, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • 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 model
  • 1.2.4 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 METHOD
  • 2.1 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 contour
  • 3.2.5 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 problems
  • 3.4.5 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 material
  • 3.7.5 Shell of rotation made from nonlinear elastic material
Dimensions
unknown
Extent
1 online resource (324 p.)
Form of item
online
Isbn
9789812797100
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)3360000000000355
  • (EBL)1193226
  • (SSID)ssj0000530971
  • (PQKBManifestationID)12150357
  • (PQKBTitleCode)TC0000530971
  • (PQKBWorkID)10569472
  • (PQKB)10053357
  • (MiAaPQ)EBC1193226
  • (WSP)00001727
  • (EXLCZ)993360000000000355

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