Solution of the stability problem for a thin shell under impulsive loading

Nonlinear analysis of dynamic stability for the thin cylindrical shells of supercavitating vehicles

“…Therefore, the structure of the vehicles must be able to withstand the tremendous propulsive forces associated with propelling a body at such high-speed underwater. The supercavitating vehicle generally has very high slenderness ratio (about [10][11][12][13][14][15][16][17][18][19][20][21][22], of which the dynamic buckling deformation not only influences the safety of the structure itself but also influences stability of supercavity and motion. For the long and thin supercavitating vehicle, only the cavitator, the fins, and the tail of the body have contact with the liquid.…”

“…Nemoto et al 18 used Galerkin's method to obtain the solutions for the prebuckling motion and the perturbated motion of composite laminated cylindrical shells subjected to periodic hydrostatic pressure. Bakhtieva and Tazyukov 19 presented a new approach to building a mathematical model based on the Ostrogradsky-Hamilton principle of stationary action to solve the stability problem for a circular cylindrical shell under an axial impulsive load. Thompson 20 described the static-dynamic analogy and its role in understanding the localized post-buckling of shell-like structures and showed the true significance of the Maxwell energy criterion load in predicting the sudden onset of ''shock sensitivity'' to lateral disturbances.…”