基于Laplace变换的干气密封轴向自由振动与强迫振动解析研究

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (21) : 148-160.

论文

滕黎明1，江锦波1，彭旭东1，陈源1,2，李纪云1

作者信息 +

Analytical study on axial free vibration and forced vibration of dry gas seal based on Laplace transform

TENG Liming1, JIANG Jinbo1, PENG Xudong1, CHEN Yuan1,2, LI Jiyun1

Author information +

文章历史 +

摘要

高速旋转设备的转轴振动给干气密封的动态稳定运行带来了极大的挑战。基于Laplace变换推导获得了不同“阻尼-刚度-质量”数值条件下干气密封轴向自由振动、强迫振动位移响应及其周期峰的显式解析表达式，研究了浮动环质量、激励频率、刚度和阻尼参数对干气密封轴向自由振动及其过渡振动阶段性能、轴向强迫振动周期峰的影响规律。结果表明：在干气密封轴向自由振动中，系统轴向总阻尼起着决定性作用，过阻尼状态和欠阻尼状态下浮动环质量和系统轴向总刚度对密封自振特性影响差异明显；在强迫振动中，过大的弹簧刚度和辅助密封阻尼不利于密封追随性，较大的轴向气膜阻尼和当超过一定阈值时较大的轴向气膜刚度有利于密封追随性。研究结果为干气密封动态稳定性评估和结构设计提供了理论指导。
关键词：干气密封；Laplace变换；振动特性；解析求解

Abstract

The shaft vibration of high-speed rotating equipment brings great challenges to the stable operation of dry gas seal. The explicit analytical expressions of axial free vibration, forced vibration displacement response and its corresponding periodic peak of dry gas seal are derived based on Laplace transform. The influence of floating ring mass, excitation frequency, stiffness and damping parameters on the performance in the transition stage of axial free vibration, and the periodic peak of axial forced vibration are investigated. The results show that in the axial free vibration of dry gas seal, the total axial damping of the system plays a decisive role. The effects of the floating ring mass and the total axial stiffness of the system on the free vibration characteristics of the seal are obviously different under the condition of overdamping and underdamping. In the forced vibration of dry gas seal, the excessive spring stiffness and auxiliary seal damping are not conducive to the tracking property of dry gas seal. Larger axial gas film damping and larger axial gas film stiffness when exceeding a certain threshold are beneficial to the tracking property of dry gas seal. The research results provide theoretical guidance for dynamic stability evaluation and structure design of dry gas seal.
Key words: Dry gas seal; Laplace transform; Vibration property; Analytical solution

导出引用

滕黎明1，江锦波1，彭旭东1，陈源1,2，李纪云1. 基于Laplace变换的干气密封轴向自由振动与强迫振动解析研究[J]. 振动与冲击, 2022, 41(21): 148-160

TENG Liming1, JIANG Jinbo1, PENG Xudong1, CHEN Yuan1,2, LI Jiyun1. Analytical study on axial free vibration and forced vibration of dry gas seal based on Laplace transform[J]. Journal of Vibration and Shock, 2022, 41(21): 148-160

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