Simulation Calculation of Mode Shape Slope for Rocket-assisting Torpedo
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摘要: 针对助飞鱼雷长细比较大以及连接结构复杂多样的特点, 文章提出了助飞鱼雷动力学仿真建模方法, 对楔环、止推块以及卡箍连接等主要连接结构进行详细建模; 完成了助飞鱼雷全雷模态计算以及振型向量的提取, 并计算了惯组安装位置的振型斜率, 为姿控系统设计输入参数以及惯组安装位置的确定提供了分析方法。Abstract: The slenderness ratio of a rocket-assisting torpedo is relatively large, and its connecting structure is complex and multiform. This study proposed a dynamic simulation modeling method for a rocket-assisting torpedo. The detailed modeling of the connecting structure was simplified, including the wedge ring, thrust block, and clamp. The modal of the rocket-assisting torpedo was calculated and the mode vector was extracted. The mode shape slope of the inertial measurement component installation position was calculated too. This study provided an analysis method to design input parameters for the attitude control and the determination of the installation position of the inertial installation component.
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Key words:
- rocket-assisted torpedo /
- modal /
- mode shape slope
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表 1 计算模型物理参数
Table 1. Physical parameters of calculating model
工作状态 参数 实际
模型计算
模型误差/% 满载 质量/kg 331.745 335.18 1.03 质心/mm 1957.57 1960.2 0.13 空载 质量/kg 286.845 290.28 1.20 质心/mm 1780.58 1785.7 0.29 表 2 全雷前3阶模态振型
Table 2. The first three order modal shapes of the whole torpedo
工作
状态固定频率/Hz 第1阶 第2阶 第3阶 满载 33.05 80.86 217.08 空载 33.81 81.74 220.59 表 3 分析节点位置
Table 3. Position of analyzed nodes
节点 相对雷头距离/mm 节点 相对雷头距离/mm A1 90 A12 1 890 A2 270 A13 2 070 A3 450 A14 2 250 A4 630 A15 2 430 A5 760 A16 2 610 A6 810 A17 2 790 A7 990 A18 2 970 A8 1 170 A19 3 150 A9 1 350 A20 3 330 A10 1 530 A21 3 510 A11 1 710 — — 表 4 全雷分析节点模态振型
Table 4. Modal shapes of torpedo’s analyzed nodes
节点 满载状态 空载状态 第1阶
模态第2阶
模态第3阶
模态第1阶
模态第2阶
模态第3阶
模态A1 −0.111 7 0.091 5 0.040 2 −0.111 0 0.091 4 0.043 5 A2 −0.081 2 0.040 4 −0.012 1 −0.080 6 0.040 4 −0.013 4 A3 −0.052 2 −0.004 7 −0.040 8 −0.051 6 −0.004 7 −0.044 4 A4 −0.024 1 −0.041 3 −0.035 0 −0.023 6 −0.041 2 −0.037 6 A5 −0.007 6 −0.052 6 −0.012 8 −0.007 2 −0.052 6 −0.013 1 A6 −0.001 5 −0.055 0 −0.005 0 −0.001 2 −0.055 0 −0.004 7 A7 0.018 7 −0.059 9 0.023 1 0.018 8 −0.059 8 0.025 9 A8 0.035 7 −0.056 6 0.044 2 0.035 6 −0.056 6 0.048 7 A9 0.051 0 −0.044 8 0.070 8 0.050 6 −0.044 8 0.077 1 A10 0.064 4 −0.015 8 0.110 5 0.063 8 −0.015 8 0.115 2 A11 0.061 8 0.020 9 0.120 9 0.060 7 0.020 9 0.105 7 A12 0.058 4 0.047 1 0.102 1 0.056 8 0.047 0 0.065 4 A13 0.052 9 0.075 7 0.046 4 0.050 9 0.075 5 0.040 5 A14 0.043 2 0.082 3 0.014 6 0.040 8 0.082 0 0.017 5 A15 0.031 7 0.082 4 −0.019 2 0.028 8 0.082 2 −0.015 1 A16 0.017 3 0.063 9 −0.030 7 0.013 9 0.063 6 −0.023 2 A17 0.002 0 0.041 8 −0.036 9 −0.001 9 0.041 4 −0.026 3 A18 −0.013 7 0.017 6 −0.035 7 −0.018 1 0.017 2 −0.024 5 A19 −0.029 0 −0.006 5 −0.028 0 −0.033 9 −0.007 1 −0.018 9 A20 −0.044 9 −0.032 1 −0.018 1 −0.050 3 −0.032 7 −0.011 8 A21 −0.060 6 −0.058 7 0.008 9 −0.066 6 −0.059 4 0.004 6 表 5 惯组安装处舱壁振型斜率
Table 5. Mode shape slope of inertial navigation’s position
工作
状态振型斜率/(rad·m−1) 第1阶 第2阶 第3阶 满载 −1.122 −0.835 4.147 空载 −1.119 −0.837 4.237 -
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