Semi-inverse method in nonlinear problems of axisymmetric shells forming

Abstract

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 programs 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, modeling the operation of a flat jack, and converting a cylindrical shell into a barrel-shape are also considered