Nonlinear Theory of Dynamic Stability for Laminated Composite Cylindrical Shells
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摘要: 用Hamilton原理建立了复合材料叠层圆柱壳非线性动力稳定性理论的一般性基本方程,其中包含了非线性大挠度,横向剪切,纵向惯性力等因素。用变分法获得基本方程的解。分析表明:叠层圆柱壳在动载荷下会发生参数共振而进入动力不稳定区域而导致动力失稳。计算了几种典型复合材料圆柱壳:即T300/5208石墨环氧,E-玻璃环氧和ARALL圆柱壳。结果表明:这些因素对于各种复合材料圆柱壳的动力稳定性具有程度不同的重要影响,所以研究叠层圆柱壳动力稳定性时,考虑这些因素是重要的。Abstract: Hamilton Principle was used to derive the general governing equations of nonlinear dynamic stability for laminated cylindrical shells in which,factors of nonlinear large deflection,transverse shear and longitudinal inertiaforce were concluded.Equations were solved by variational method. Analysis reveals that under the action of dynamic load,laminated cylindrical shells will fall into a state of parametric resonance and enter into the dynamic unstable region that causes dynamic instability of shells.Laminated shells of three typical composites w ere computed:i.e.T300/5208 graphite epoxy E-glass epoxy,and ARALL shells.Results show that all factors will induce important influence for dynamic stability of laminated shells.So,in research of dynamic stability for laminated shells,to consider these factors is important.
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Key words:
- composite material /
- cylindrical shell /
- dynamic stability /
- ARALL shell
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[1] Budiansky B, Hutchinson J W. Dynamic buckling of imperfection sensitive structures[A]. Applied Mechanics[C]. Proceedings of 11th International Congress of Applied Mechanics. Frei burg I: Br Munich,1964. [2] Bolotin V V. The Dynamic Stability of Elastic Systems[M]. V I Weingerten, et al, transl. San Francisco: Holden-Day Inc,1964.(English version) [3] Bogdanovich A E. Nonlinear problems of dynamic buckling of reinforced laminar cylindrical shells[J]. Soviet Applied Mechanics,1986,22(8):745-753. [4] Dumir P C, Khatri K N. Axisymmetric static and dynamic buckling of orthotropic shallow conical caps[J]. AIAA Journal,1985,53(11):1762-1767. [5] Jones Robert M. Mechanics of Composite Materials[M]. Wash ington U S A: Hemisphere Publishing Co,(now Taylor & Francis Co),1975. [6] Chajes Alexander. Principals of Structural Stability Theory[M].Massachusetts, U S A: Prentice-Hall Inc,1974. -
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