Nonlinear Response of a Thin Conical Shell to Dynamically Applied Axial Force

摘要

The response of a truncated conical shell to a dynamic axial force is studied by means of a large deflection analysis which includes the concept of initial imperfections. The derived governing nonlinear partial differential equations are reduced to nonlinear ordinary differential equations of a lower-order by a first-approximation and the Galerkin method. For cones of moderate length, the solutions are found to be dependent on one physical and three geometric parameters. Numerical solutions to these equations are obtained by the Runge-Kutta algorithm and studies conducted to determine the effect of varying the pertinent parameters. It is found that the value of the load parameter in the region of instability and the number of longitudinal waves increase significantly for increased rates of loading. The results of varying the geometric parameters are in agreement with trends indicated in experimental data, but not predicted by previous theoretical analyses. (Author)