考虑杨氏模量随轴向温度分布变化的转子有限元建模方法研究

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (14) : 22-26.

论文

考虑杨氏模量随轴向温度分布变化的转子有限元建模方法研究

何鹏刘占生刘镇星

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The finite element modelling of rotor incorporating the variation of Yang’s modulus with axial temperature distribution

He Peng Zhansheng Liu Zhenxing Liu

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摘要

摘要：根据转子材料杨氏模量随温度的二次多项式变化函数，推导了考虑温度分布的单元刚度矩阵，给出了考虑转子轴向温度分布的有限元模型，分析了在轴向温度均匀分布、线性分布和二次多项式分布情况下转子临界转速的变化趋势。结果表明，模型可以体现转子轴向温度分布对刚度矩阵的影响，能够有效提高高温下转子临界转速的计算精度。

Abstract

Abstract:. Based on the second order polynomial variation of Yang’s modulus with temperature, the stiffness matrix of rotor finite element was derived, the finite element model considering the axial temperature distribution of rotor was obtained. A simple rotor model was analyzed under axial temperature uniform distribution, linear distribution and second polynomial distribution, the variation of first two critical speeds were analyzed. Results shown that, with the consideration of the influence of axial temperature distribution on rotor stiffness matrix, this model could improve the expected results of rotor critical speeds with rotor working under high temperature.

导出引用

何鹏刘占生刘镇星. 考虑杨氏模量随轴向温度分布变化的转子有限元建模方法研究[J]. 振动与冲击, 2012, 31(14): 22-26

He Peng Zhansheng Liu Zhenxing Liu . The finite element modelling of rotor incorporating the variation of Yang’s modulus with axial temperature distribution[J]. Journal of Vibration and Shock, 2012, 31(14): 22-26