Stability of viscoelastic cylindrical shells in supersonic flow

被引：0
|
作者：
Zhang, N. [1 ]
Cheng, C. [1 ]
机构：
[1] Key Laboratory of Solid Mechanics, Shanghai University, Ministry of Education, Shanghai 200436, China
来源：
Journal of Vibration and Shock | 2001年 / 20卷 / 03期
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摘要：
Based on the Karman-Donnell theory of thin shells, the first order piston theory in aerodynamics and the Boltzmann superposition principles in viscoelasticity, a mathematical model of viscoelastic cylindrical shells in supersonic flow is set up. By using the Galerkin method in spatial domain and introducing new variables in time domain, the original integro-partial-differential system is reduced to a high dimensional differential system. The influence of aerodynamic pressure on the stability of viscoelastic cylindrical shells is investigated by various methods in nonlinear dynamics. It is found that the aero-viscoelastic cylindrical shell has two kinds of stable motions and two kinds of unstable motions.
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页码：40 / 41
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