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. Copyright © 2010 by ASME.
Imperfection sensitivity of compressed circular cylindrical shells under periodic axial loads / Pellicano, F.. - 10:PART B(2010), pp. 695-704. (Intervento presentato al convegno ASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009 tenutosi a Lake Buena Vista, FL, usa nel 2009) [10.1115/IMECE2009-10949].
Imperfection sensitivity of compressed circular cylindrical shells under periodic axial loads
Pellicano F.
2010
Abstract
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. Copyright © 2010 by ASME.
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