This monograph will be valuable for English-speaking scientists wanting to know more about the state-of-the-art in Russian research on non-linear shell theory. It will also be of value to all materials scientists concerned with the use and behaviour of composite materials in structural applications.
1. Basic Equations of the Non-linear Theory for Thin Orthotropic Shells in Orhotgonal Curvilinear Co-ordinates. 1.1. Deformations. 1.2. Stresses. 1.3. Tractions. 2. Equations of the Nonlinear Theory for Orthotropic Cylindrical Shells. 2. 1. Basic equations of the non-linear theory for thin-walled orthotropic shells. 2.2. Non-linear equations of the technical theory for orthotropic circular cylindrical shells. 2.3. Linearized equations for an orthotropic circular cylindrical shell. 3. Free Vibrations of Orthotropic Cylindrical Shells. 3.l. Calculation of natural frequencies and investigation of the range of applicability of the technical theory. 3.2. Applicability of the technical theory for calculation of static critical loads. 3.3. Effect of transverse shears on natural frequencies. 4. Parametric Vibrations of Orthotropic Cylindrical Shells. 4.1. Determination of dynamic instability regions for an elastic shell. 4.2. Determination of dynamic instability regions for a viscoelastic shell. 4.3. Calculation of non-linear parametric vibrations of an elastic shell. 5. Calculation of Deformation Processes for Orthotropic Cylindrical Shells Under Dynamic Compressive Loads. 5.1. Axisymmetric deformation under longitudinal dynamic compression. 5.2. Longitudinal impact by a rigid mass on the cylindrical shell. 5.3. Calculation of non-axisymmetric deformation under longitudinal impact. 6. Strength Analysis of Laminated Cylindrical Shells Under Dynamic Compressive Loads. 6.l. Assessment of critical dynamic load in terms of the moment of first-plyfailure. 6.2. Initial failure under longitudinal dynamic compression. 6.3. Initial failure under dynamic lateral pressure.
Shells (Engineering), Structural analysis (Engineering), Cylinders. , Mechanics of solids, Maths for engineers