Perturbation initial parameter method for solving the geometrical nonlinear problem of axisymmetrical shells
In a previous paper [ibid. 7, 125-137 (1986; Zbl 0584.73091)], the author presents a system of first-order differential equations for the problem of axi-symmetrically loaded shells of revolution with small elastic, strains and arbitrarily large axial deflections, and a method of variable-characteristic nondimensionization with a scale of load parameters. On this basis, by taking the weighted root-mean-square deviation of angular deflection from linearity as perturbation parameter, this paper presents a perturbation system of nondimensional differential equations for the problem, thus transforms the geometrical nonlinear problem into several linear problems. This paper calculates these linear problems by means of the initial parameter method of numerical integration. The numerical results agree quite well with the experiments.
system of first-order differential equations
axi-symmetrically loaded shells of revolution
method of variable-characteristic nondimensionization
perturbation system of nondimensional differential equations
initial parameter method of numerical integration
scientific article; zbMATH DE number 4016349