基于弯曲刚度的阶梯转子等效梁单元方法

张卫锋; 李东杰; 张可; 周明

doi:10.16511/j.cnki.qhdxxb.2022.21.011

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清华大学学报（自然科学版） ›› 2022, Vol. 62 ›› Issue (12) : 2021-2028. DOI: 10.16511/j.cnki.qhdxxb.2022.21.011

机械工程

基于弯曲刚度的阶梯转子等效梁单元方法

张卫锋^1,2, 李东杰¹, 张可¹, 周明¹

作者信息 +

Equivalent beam element method for stepped rotors based on the bending stiffness

ZHANG Weifeng^1,2, LI Dongjie¹, ZHANG Ke¹, ZHOU Ming¹

Author information +

文章历史 +

摘要

为提高阶梯转子建模过程中梁单元弯曲刚度的计算精度，采用基于弯曲刚度的锥形等效梁单元对阶梯处进行建模。基于ANSYS三维实体单元计算阶梯轴弯曲时截面突变处的弯曲刚度，并通过最小二乘法得到锥形梁单元的最优尺寸，给出了梁单元尺寸随阶梯轴尺寸的变化规律。同样地，给出了整体式圆盘的弯曲刚度等效规律。通过转子动力学分析对所提出的等效方法进行验证，结果表明，采用本文方法等效后的梁单元计算得到的转子临界转速与传统梁单元和45°等效方法相比更接近参考值。

Abstract

The accuracy of using beam elements to model the stresses in stepped rotors is improved in this study by using cone-shape equivalent beam elements with shapes based on the bending stiffness. The bending stiffness of sections with abrupt changes was calculated in ANSYS using 3-D solid elements. The optimal size of the equivalent beam element was obtained using a least squares procedure. The calculations were used to relate the equivalent beam element size to the stepped rotor size. The calculations also related the equivalent beam element size to the integral disk size. The accuracy of the equivalent beam size models was then verified by rotor dynamics analyses. The results show that the critical speeds obtained using the equivalent beam elements agree better with the reference values in this paper than the results of both traditional beam models without equivalent segments and the 45?equivalent beam method.

导出引用

张卫锋, 李东杰, 张可, 周明. 基于弯曲刚度的阶梯转子等效梁单元方法[J]. 清华大学学报（自然科学版）. 2022, 62(12): 2021-2028 https://doi.org/10.16511/j.cnki.qhdxxb.2022.21.011

ZHANG Weifeng, LI Dongjie, ZHANG Ke, ZHOU Ming. Equivalent beam element method for stepped rotors based on the bending stiffness[J]. Journal of Tsinghua University(Science and Technology). 2022, 62(12): 2021-2028 https://doi.org/10.16511/j.cnki.qhdxxb.2022.21.011

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基金

张可，助理研究员，E-mail：zhangke2019@tsinghua.edu.cn

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收稿日期	出版日期
2021-12-09	2022-12-15
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2022-11-10

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