Dynamic Stresses of an Infinite Circular Cylindrical Shell Subjected to Concentrated Impulsive Loads

The dynamic response of an infinite circular cylindrical shell, which is suddenly imposed with equal and opposite radial loads, is treated within the framework of Flugge's and Donnell's shell theories. Donnell's theory is not recommended as compared with Flugge's theory for predicting the deformations but is satisfactorily accurate for predicting the stresses. In the case of the concentrated loads, the bending moments beneath the load are equal to infinity but the stress distributions agree approximately with the stress distributions under the loads applied constantly over a small area until the radius of the area equals to roughly ten percent of the radius of the cylindrical shell.