Dynamic modeling and analysis of the rotor system with cracked double diaphragm coupling

HE Shuting; ZHU Rupeng; WANG Duanhuang; ZHU Yajie

doi:10.16579/j.issn.1001.9669.2026.03.014

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Dynamic modeling and analysis of the rotor system with cracked double diaphragm coupling

·Experimental Research·Testing Technology· | 更新时间：2026-03-16

- Dynamic modeling and analysis of the rotor system with cracked double diaphragm coupling
- Journal of Mechanical Strength Vol. 48, Issue 3, Pages: 122-132(2026)
- 作者机构：
  
  南京航空航天大学机电学院，南京 210000
- 作者简介：
  
  ZHU Rupeng, E-mail: rpzhu_nuaa@163.com
- 基金信息：
  
  National Natural Science Foundation of China(52275061)
- DOI：10.16579/j.issn.1001.9669.2026.03.014
  CLC： TH113
- Received：31 July 2024，
  
  Revised：2024-08-13，
  
  Published：15 March 2026
- 稿件说明：
移动端阅览
何淑婷，朱如鹏，王端滉，等. 带裂纹双膜盘联轴器转子系统的动力学建模与分析［J］. 机械强度，2026，48（3）：122-132.

HE Shuting，ZHU Rupeng，WANG Duanhuang，et al. Dynamic modeling and analysis of the rotor system with cracked double diaphragm coupling［J］. Journal of Mechanical Strength，2026，48（3）：122-132.
何淑婷，朱如鹏，王端滉，等. 带裂纹双膜盘联轴器转子系统的动力学建模与分析［J］. 机械强度，2026，48（3）：122-132. DOI： 10.16579/j.issn.1001.9669.2026.03.014.

HE Shuting，ZHU Rupeng，WANG Duanhuang，et al. Dynamic modeling and analysis of the rotor system with cracked double diaphragm coupling［J］. Journal of Mechanical Strength，2026，48（3）：122-132. DOI： 10.16579/j.issn.1001.9669.2026.03.014.

摘要

目的

针对带裂纹双膜盘联轴器转子系统动力学特性研究不足的问题，考虑联轴器刚度交叉耦合项，推导带裂纹膜盘的时变刚度矩阵，为该类系统裂纹故障诊断与安全运行提供参考。

方法

首先，建立含刚度交叉耦合项的转子系统动力学方程，为裂纹影响分析提供模型支撑；其次，基于有限元法求解系统临界转速，与Ansys软件仿真结果对比，验证模型的正确性；然后，通过Newmark-β法求解有、无裂纹时的动力学响应，获取转速-幅值图、频响-转速瀑布图及轴心轨迹；最后，系统分析裂纹长度（5~30 mm）和位置（内、外径）对系统响应的影响规律。

结果

结果表明，裂纹会引入2倍频成分，转速跨过

/2（630 r/min）时轴心轨迹内环旋转约180°；输出端裂纹长度增至20 mm时，1阶临界转速从1 270 r/min降至1 260 r/min，2倍频成分显著增强；裂纹初期，外径处影响更明显，随着裂纹长度增加，内径处影响占优，验证了模型与分析方法的有效性。

Abstract

Objective

Aiming at the insufficient research on the dynamic characteristics of the rotor system with cracked double diaphragm coupling

the cross-coupling term of coupling stiffness was considered

and the time-varying stiffness matrix of the cracked diaphragm was derived to provide a reference for the crack fault diagnosis and safe operation of such systems.

Methods

Firstly

a dynamic equation of the rotor system including the cross-coupling stiffness term was established to provide model support for the analysis of crack effects. Secondly

the critical speed of the system was solved based on the finite element method

and compared with the simulation results of Ansys software to verify the correctness of the model. Then

the dynamic responses with and without cracks were solved by the Newmark-β method to obtain speed-amplitude diagrams

frequency response-speed waterfall diagrams and axis trajectories. Finally

the influence laws of crack length (5-30 mm) and position (inner and outer diameters) on the system response were systematically analyzed.

Results

The results show that cracks introduce 2 harmonic rotational frequency components

and the inner ring of the axis trajectory rotates about 180° when the speed crosses

/2 (630 r/min). When the crack length at the output end increases to 20 mm

the first-order critical speed decreases from 1 270 r/min to 1 260 r/min

and the 2 harmonic component is significantly enhanced. The influence of cracks at the outer diameter is more obvious in the initial stage

and the influence at the inner diameter dominated with the increase of crack length

verifying the effectiveness of the model and analysis method.

关键词

Keywords

references

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