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MonteCarlo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 important steps of the manufacture and dynamic design of a slender rocket. The inherent inaccuracies existing in manufacturing, measurements, uncertainties of geometry and material, statistical variability of constraints and other factors, have remarkable effects on the dynamic performance of the rocket. In this paper, based on the transfer matrix method and perturbation method, a new method for random eigenvalue problems of a slender rocket with uncertain parameters is studied, and the effect of parameter uncertainty on the vibration characteristic of the rocket is presented. This method does not need the global dynamic equations of a system, and has the high computational efficiency and low memory requirement. It has more advantages for the dynamic design of an uncertain rocket. The random eigenvalue problems of a slender rocket with uncertain parameters are studied by using the proposed method and Monte Carlo method, respectively. The computational results obtained by the two methods have a good agreement, which validate the feasibility of the proposed method.