基于 Lanczos 模态分析及密集度分析的发射装置轻量化研究

摘要

To research the lightweight of multiple launcher rocket system ( MLRS ) , the rigid-flexible-coupling dynamic model with finite element method was applied .The modal response and firing dispersion after the lightweight was compared with that before the lightweight respectively , and the feasibility of lightweight was verified .The classical eigenvalue problem was solved by Lanczos-reduce method .The FEM model of composite materials direction tube was built ,and the FEM results were compared with the modal test results .The result shows that the modal solved by Lanczos is correct .The FEM models of MLRS of two kinds of materials were built , and the modal characteristics were calculated by using Lanczos.The reasonable firing interval was selected according to modal characteristics .The firing dispersion of rocket after lightweight was compared with that before lightweight .The result shows that the design of lightweight is feasible .%针对某型号多管火箭发射装置轻量化设计，采用有限元法建立其刚柔耦合动力学模型，对轻量化前后的模态响应特性及其火箭弹发射密集度进行对比分析，验证了此轻量化设计的可行性。首先，对Lanczos迭代法在经典的特征值问题中进行了推导求解；其次，建立了某复合材料定向管的有限元模型，计算结果与此定向管样机模态试验结果进行对比分析，结果表明基于Lanczos迭代法的有限元模型求解模态是正确的；最后，根据轻量化设计要求，建立了2种材料火箭炮发射装置的整车有限元模型，采用Lanczos迭代法计算其模态特性，根据模态特性选择合理的射击间隔，并通过对比轻量化前后此发射装置火箭弹的射击密集度，验证了此轻量化设计的可行性。