初偏心影响下的水下高速运动体的抗弯稳定性及可靠性分析

Analysis of Antibending Stability and Reliability of an Elastic Body with Initial Eccentricity at High Speed Motion Underwater

针对有初偏心的水下高速运动弹性体的抗弯稳定性问题,建立了一个简化的力学模型。基于小挠度下杆所承受载荷的微分方程,确定了水下高速运动弹性体的弯曲失稳的临界载荷,得到了临界载荷与初始偏心之间的关系。在此基础上进行了结构的可靠性分析,得到了结构的可靠性指标和失效概率。最后,通过算例,说明该方法的有效性。

Taking aim at the antibending stability of an elastic body with initial essentricity at high speed motion underwater, a simplified mechanical model was established. Based on the differential equation of load-bearing of small deflection bar, the critical load of bending unstability of the elastic body was confirmed, and the relation between the critical load and the initial eccentricity was obtained. On the above basis, the structural reliability analysis was carried through, and the reliability index and the probability of failure of the structure were obtained. The example was given to demonstrate the efficiency of this method.