BTA深孔加工镗杆的横向随机振动

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摘要研究采用随机方法分析了蕴含轴向流动流体的BTA深孔镗杆在随机力下的横向随机动力行为。建模时考察了流固耦合镗杆承受的弯曲、拉伸和扭转变形；经Galerkin method离散化处理，分析了BTA镗杆在有、无随机激励两种情况的特征值和特征频率对振动特性的影响；利用响应方差最大值和谱密度解析了BTA镗杆横向振动的临界转速与临界失稳频率；明确了镗杆随转速、刚度、初始轴向总力和剪切模量等参数变化对系统振动特性的影响机制：镗杆转速变化对系统稳定性不再具有单调性，随BTA镗杆转速持续增加，系统可历经两次转速的临界失稳，相继出现二次失稳和二次稳定；增加系统等效刚度和等效剪切模量会促进工作过程的稳定，改变轴向力对工作过程稳定的影响不明显；并以随机振动物理实验信号的功率谱分析，验证了理论仿真结果与实验结果的一致性。本项研究在一定程度上揭示了BTA深孔工艺系统运动状态的复杂性，这种研究模式为进一步分析在复杂状态下的运动演化提供了更多的可能。研究结论为更好地理解BTA深孔镗杆工作时的随机动力行为提供了依据，也为BTA深孔工艺过程的振动控制和参数优化奠定了理论基础。

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	赵武1
	张全斌1
	李亚敏1
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	荆双喜1

关键词 ： BTA深孔镗杆, 横向振动, 随机振动特性, 特征值, 响应方差, 谱密度

Abstract：The lateral random dynamic behavior of BTA deep-hole boring bar with axial flow fluid under stochastic excitation is studied by using stochastic method. The bending, stretching and torsional deformation of the boring bar under fluid-structure coupling were considered in the modeling, and the Galerkin method was used to discretization the model. The effects of characteristic values and frequency on vibration characteristics of BTA boring bar with and without stochastic excitation are analyzed. The critical speed and critical instability frequency of the lateral vibration of the deep-hole boring bar were analyzed by using the maximum value of the response variance and spectral density. The influence of parameters such as rotational speed, stiffness, initial total axial force and shear modulus on the vibration characteristics of the system is clarified. The effect of the speed change of boring bar on the stability of the system is no longer monotonous, with the increase of the BTA boring bar speed, the system will undergo two critical instabilities of rotational speed, namely the systematic motion modes transfer in the order of instability, stability, instability and stability; Increasing the equivalent stiffness and equivalent shear modulus of the system will promote the stability of the working process; The effect of changing the axial force on the stability of the working process is not obvious; The agreement between the analysis results and the experimental results is verified by the power spectrum of stochastic vibration physical experiments. This study reveals the complexity of the motion state of BTA deep hole process system to a certain extent, and this research mode provides more possibilities for further analysis of the motion evolution in the complex state. The research conclusion provides a basis for better understanding the random dynamic behavior of BTA deep-hole boring bar when it works, and also provides a theoretical basis for vibration control and parameter optimization of BTA deep-hole process.

Key words： BTA deep-hole boring bar Lateral vibration Stochastic vibration characteristics Characteristic value Response variance Spectral density

收稿日期: 2023-03-01 出版日期: 2023-02-15

引用本文:

赵武1，张全斌1，李亚敏1,2，荆双喜1. BTA深孔加工镗杆的横向随机振动[J]. 振动与冲击, 2024, 43(3): 46-57.
ZHAO Wu1, ZHANG Quanbin1, LI Yamin1,2, JING Shuangxi1. Lateral random vibration of boring bar for BTA deep-hole process. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(3): 46-57.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I3/46

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