用于推进轴系振动分析的改进数值组装法

巫頔1,谢溪凌1,张志谊1, 2

振动与冲击 ›› 2022, Vol. 41 ›› Issue (15) : 99-104.

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PDF(1296 KB)
振动与冲击 ›› 2022, Vol. 41 ›› Issue (15) : 99-104.
论文

用于推进轴系振动分析的改进数值组装法

  • 巫頔1,谢溪凌1,张志谊1, 2
作者信息 +

Improved numerical assembly method for vibration analysis of propulsion shafting

  • WU Di1, XIE Xiling1, ZHANG Zhiyi1,2
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摘要

为计算推进轴系的中高频振动,对现有数值组装法(Numerical Assembly Method - NAM)进行改进。改进的数值组装法(m-NAM)首先将推进轴系等效为多跨阶梯Timoshenko梁,采用精确的振动微分方程描述等截面梁段,并根据节点连续性条件构建系统矩阵方程,然后设计加权矩阵,通过行归一化降低系统矩阵的病态程度,解决NAM的高频数值发散问题。通过数值算例比较m-NAM、NAM、连续质量传递矩阵法和解析法,计算结果表明,m-NAM显著拓宽了轴系振动频率的计算范围,在高频段仍保持较高的计算精度。
关键词:数值组装法;传递矩阵法;轴系横向振动

Abstract

The traditional numerical assembly method (NAM) is modified to analyze the mid-high frequency vibration of propulsion shafting systems. In the modified NAM, a propulsion shafting system is first modeled as a multi- stepped Timoshenko beam and described precisely by the equation of vibration on each beam segment, then the system matrix equation is established by assembling all the beam segments according to the compatibility conditions, and finally a weighting matrix for row normalization is proposed to reduce the condition number of the system matrix. As a result, the numerical divergence in the computation of mid-high frequency vibration is eliminated. Numerical examples are given to compare the m-NAM with the traditional NAM, the continuous-mass transfer matrix method and the analytical solution. The results have shown that the m-NAM is of good accuracy of computation at high frequencies.
Key words: numerical assembly method; transfer matrix method; shaft lateral vibration

关键词

数值组装法 / 传递矩阵法 / 轴系横向振动

Key words

numerical assembly method / transfer matrix method / shaft lateral vibration

引用本文

导出引用
巫頔1,谢溪凌1,张志谊1, 2. 用于推进轴系振动分析的改进数值组装法[J]. 振动与冲击, 2022, 41(15): 99-104
WU Di1, XIE Xiling1, ZHANG Zhiyi1,2. Improved numerical assembly method for vibration analysis of propulsion shafting[J]. Journal of Vibration and Shock, 2022, 41(15): 99-104

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