图书简介
Currently, solving problems based on designing and calculating complex structures with significant nonlinearity usually require:
• Expensive and difficult to learn software packages
• High-performance computers
• Spare time as calculations take a long time to complete
Semi-Inverse Method in Nonlinear Problems of Axisymmetric Shells Forming provides an alternative method for solving problems with deep geometric and physical nonlinearity. Easily implemented on normal PCs, this method is fast and creative. The reader can use integrated packages of the MathCad variety that implement "live mathematics". Such packages give the reader the freedom to create programmes for themselves.
In the proposed method, a function for molding pressure is constructed, which is output to a stationary value by varying the shape parameters and edge reactions. The final shape of the shell is given using analytical approximations. Applications of the method are applied to real shell structures. Forming spherical and ellipsoidal shells (flapping membranes), correcting the shape of the bottom of a container for liquid cargo, modelling the operation of a flat Jack, and converting a cylindrical shell into a barrel-shape are also considered.
Key Features
• Provides a mathematical model adequate to the problem of complex shape of shells, taking into account the new metric and the physics of plastic behavior of the material
• Gives an original semi-analytical method that allows the user to effectively solve essentially nonlinear problems
• Application of real-life engineering problems are included in the book
Introduction; Generalization of E Reissner’s Equations for the Problem of Shells of Rotation Deformation; Large Plastic Deformation of Shells of Rotation; Membranes in Systems for the Protection of Equipment from Destruction by Excessive Pressure; Stretching of Dome Shell From a Circular Plate; Solving Problems of Changing the Form of Some Shells of Rotation; On Tanks for the Carriage of Liquid Cargo; Jack Systems in Construction; Equations for Calculating Axisymmetric Shells within the Limits of Elasticity; Conclusion; References
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