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固有振动特性分析已成为大长径比火箭弹研制与动态设计的重要环节之一。系统的加工测量误差、几何、材料以及约束条件等的不确定性对火箭弹动态特性具有显著影响。该文基于传递矩阵法和摄动方法,建立了含不确定参数的细长火箭弹随机特征值问题分析方法,研究了参数不确定性对火箭弹振动特性的影响。该方法无需建立系统总体动力学方程,可大幅度提高随机特征值问题的计算效率、降低系统存储需求。分别应用该文方法与Monte Carlo方法对某大长径比火箭弹随机特征值问题进行了分析,两种方法计算结果吻合较好,证明了该方法的有效性。
The analysis of natural vibration characteristics has become one of the important links in the development and dynamic design of large aspect ratio rockets. The uncertainties of system measurement errors, geometry, materials and constraints have a significant impact on the dynamic characteristics of rockets. Based on the transfer matrix method and the perturbation method, the paper analyzes the stochastic eigenvalue problem of slender rockets with uncertain parameters and studies the influence of parameter uncertainty on the vibration characteristics of the rocket. This method does not need to establish the overall system dynamic equations, which can greatly improve the computational efficiency of stochastic eigenvalue problems and reduce the storage requirements of the system. This paper analyzes the random eigenvalue problem of a large aspect ratio rockets using the Monte Carlo method and the Monte Carlo method respectively. The results of the two methods agree well with each other, which proves the effectiveness of the method.