基于MATLAB的鱼雷推进轴系弯曲振动涡动频率计算
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摘要
在鱼雷转子系统中,为避免系统发生共振,常需要计算其涡动频率。鉴于商业有限元分析软件的输入参数有限,且无法满足特殊情况下的计算需求,该文根据转子系统的运动微分方程及其求解过程,运用MATLAB软件编程来计算系统的涡动频率,然后与ANSYS软件计算结果进行对比。结果表明,所编写的MATLAB程序合理,可对鱼雷推进轴系进行计算,也可进行后续开发。
To avoid resonance, it is necessary to calculate whirling frequency of a rotor system. The input parameters of commercial finite element analysis(FEA) softwares are limited, and these softwares can not complete the analysis of special cases. In this paper, according to the differential equation of motion for a rotor system and its solution process, a program is coded to calculate the whirling frequency by the software MATLAB. Comparison between the results of MATLAB and ANSYS shows that this MATLAB program is reasonable, and it can be used to calculate whirling frequency in flexural vibration of torpedo propulsion shafting or to perform subsequent development.
To avoid resonance, it is necessary to calculate whirling frequency of a rotor system. The input parameters of commercial finite element analysis(FEA) softwares are limited, and these softwares can not complete the analysis of special cases. In this paper, according to the differential equation of motion for a rotor system and its solution process, a program is coded to calculate the whirling frequency by the software MATLAB. Comparison between the results of MATLAB and ANSYS shows that this MATLAB program is reasonable, and it can be used to calculate whirling frequency in flexural vibration of torpedo propulsion shafting or to perform subsequent development.
引文
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[4]汪梦甫,王朝晖.两种质量矩阵在梁模态分析中差异的比较[J].地震工程与工程振动.2006,26(6):84-86.Wang Meng-fu,Wang Zhao-hui.Analysis of Differences Between Two Types of Mass Matrixes in Beam Modal Analysis[J].Earthquake Engineering and Engineering Vibration.2006,26(6):84-86.
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[6]车树汶,陈权,楼松庆.质量矩阵模式对桥梁自振频率的影响[J].兰州交通大学学报,2003,22(6):80-83.Che Shu-wen,Chen Quan,Lou Song-qing.Influence of Mass Matrix Model on Natural Vibration Frequency of Bridges[J].Journal of Lanzhou Jiaotong University,2003,22(6):80-83.
[7]董军,刘旭红,姚顺忠,等.基于虚功原理表达的空间梁单元刚度矩阵分析[J].西南林学院学报,2002,22(4):59-62.Dong Jun,Liu Xu-hong,Yao Shun-zhong,et al.Analysis of Element Stiffness Matrix About Space Beam-Element Based on Principle of Virtual Work[J].Journal of Southwest Forestry College,2002,22(4):59-62.
[8]王勖成.有限单元法[M].北京:清华大学出版社,2003.
[9]Vaugh N M.The Dynamics of Rotor-Bearing Systems Using Finite Element[J].Journal of Engineering for Industry,1976,98(2):593-600.
[2]钟一谔.转子动力学[M].北京:清华大学出版社,1984.
[3]王军峰,孙康.基于有限元法的转子临界转速计算[J].机械设计.2012,29(12):10-13.Wang Jun-feng,Sun Kang.Rotor Critical Speed Calculation Based on Finite Element Method[J].Journal of Machine Design.2012,29(12):10-13.
[4]汪梦甫,王朝晖.两种质量矩阵在梁模态分析中差异的比较[J].地震工程与工程振动.2006,26(6):84-86.Wang Meng-fu,Wang Zhao-hui.Analysis of Differences Between Two Types of Mass Matrixes in Beam Modal Analysis[J].Earthquake Engineering and Engineering Vibration.2006,26(6):84-86.
[5]徐荣桥.结构分析的有限元法与MATLAB程序设计[M].北京:人民交通出版社,2005.
[6]车树汶,陈权,楼松庆.质量矩阵模式对桥梁自振频率的影响[J].兰州交通大学学报,2003,22(6):80-83.Che Shu-wen,Chen Quan,Lou Song-qing.Influence of Mass Matrix Model on Natural Vibration Frequency of Bridges[J].Journal of Lanzhou Jiaotong University,2003,22(6):80-83.
[7]董军,刘旭红,姚顺忠,等.基于虚功原理表达的空间梁单元刚度矩阵分析[J].西南林学院学报,2002,22(4):59-62.Dong Jun,Liu Xu-hong,Yao Shun-zhong,et al.Analysis of Element Stiffness Matrix About Space Beam-Element Based on Principle of Virtual Work[J].Journal of Southwest Forestry College,2002,22(4):59-62.
[8]王勖成.有限单元法[M].北京:清华大学出版社,2003.
[9]Vaugh N M.The Dynamics of Rotor-Bearing Systems Using Finite Element[J].Journal of Engineering for Industry,1976,98(2):593-600.
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