带有大质量刚体圆锥壳的自由振动分析

本文针对壳体带有大质量刚体的特点,用有限元离散方法,导出了在不同周向波数下壳元节圆位移与刚体质心位移及转角之间的关系式,并将结果与实际运动进行对比分析,论证了结论的正确性。为带有大质量刚体的壳体结构的动力分析提供了理论依据。

Analysis of Free Vibration of Conical Shell with Rigid Body of Large Mass

In this paper, the characters of a large-mass rigid body fixed to conical shell are con-sidered. The displacement of the centre of mass and angular displacement of the body re-lated to the displacement of nodal circle of finite element are obtained for each circumfer-ential wave number. Comparing the results with those in actual motion, the correctnessof the conclusion is demonstrated. This provides a theoretical foundation of dynamicanalysis for the shells with rigid body of large mass.