Some Dynamical Properties of a Viscoelastic Cylindrical Shell
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摘要: 本文讨论了轴向压力和一致分布的径向压力作用下粘弹性柱壳的动力稳定性问题.利用Laplace变换,得到了常载作用下粘弹壳的稳定性条件.综合利用动力学的经典方法,得到了由粘弹性壳所定义的动力系统的各种动力学性质及各种参数对结构稳定性的影响.Abstract: In this paper, the dynamic stability of a viscoelastic circular cylindrical shell subject to an axial compressive force and a uniformly distributed radial compressive load is discussed. By using the Laplace transformation, stability conditions of viscoelastic shell under constant loads are yielded. By synthetically using the classical dynamic methods, the various dynamical properties for the dynamical system defined by the viscoelastic shell and the parameter has effect on the stability of structure are obtained.
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Key words:
- viscoelasticity /
- cylindrical shell /
- stability
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[1] Ladopoulos E G.Nonlinear integro-differential equations used in orthotropic shallow spherical shell analysis[J].Mech Res Commun,1991,18(2-3),111~119 [2] Drozdov A.Stability of viscoelastic shell under periodic and stochastic loading[J].Mech Res Commun,1993,20(6):481~486 [3] Tylikowski A.Dynamic stability of viscoelastic shell under time-dependent membrane loads[J].Int J Mech Sci,1989,31(8):591~597 [4] 杨挺青.粘弹性力学[M].武汉:华中理工大学出版社,1989
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