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| Improved numerical assembly method for vibration analysis of propulsion shafting |
| WU Di1, XIE Xiling1, ZHANG Zhiyi1,2 |
1. State Key Laboratory of Mechanical Systems and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China;
2. Institute of Vibration, Shock & Noise, Shanghai Jiao Tong University, Shanghai 200240, China |
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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
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Received: 21 April 2021
Published: 15 August 2022
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