Newton-spline method in the nonlinear theory of shells of revolution (Q1117754)

We present a Newton-spline method for solving the strongly nonlinear problem of shallow shells of revolution. With this method, a number of practical problems are analysed and discussed. Results show that this method has the following advantages: large domain and good rate of convergence, high accuracy of solutions, less calculation time, simple formulae and convenience for programming. By this method, not only the prebuckling solutions, but also the postbucklung solutions can be obtained.