In the present paper the dynamic stability of circular cylindrical shells is investigated; the combined effect of compressive static and periodic axial loads is considered. The Sanders-Koiter theory is applied to model the nonlinear dynamics of the system in the case of finite amplitude of vibration; Lagrange equations are used to reduce the nonlinear partial differential equations to a set of ordinary differential equations. The dynamic stability is investigated using direct numerical simulation and a dichotomic algorithm to find the instability boundaries as the excitation frequency is varied; the effect of geometric imperfections is investigated in detail. The accuracy of the approach is checked by means of comparisons with the literature.

Volume Subject Area:
Mechanical Systems and Control
Topics:
Circular cylindrical shells, Stress, Dynamic stability, Algorithms, Computer simulation, Differential equations, Excitation, Nonlinear dynamics, Partial differential equations, Vibration
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Copyright © 2009
 by ASME
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