Research on Dynamic Characteristics of the Heavy-duty Machine Tool- foundation System(HDMTFS) Based on the Linear Multi-body Transfer Matrix Method

doi:10.3901/JME.260251

Abstract

Abstract: During the initial phase of machine tool design and manufacturing, accurate prediction of dynamic characteristics is essential for ensuring the reliability of high-end CNC equipment. However, conventional multi-body dynamics and finite element methods encounter substantial challenges in effectively and precisely analyzing the system's dynamic performance, owing to its substantial scale and intricate structural complexity. Moreover, this type of machine tool incorporates numerous nonlinear bolted joints, whose influence cannot be neglected. To study the dynamic characteristics of the heavy-duty machine tool-foundation system(HDMTFS), considering the influence of bolted joints, the spatial hinge transfer matrix of stiffness in X, Y, Z, R_x, R_y and R_z directions is introduced. Based on the transfer matrix method for the multi-body system(MSTMM), a dynamic model of the HDMTFS that is more in line with engineering is established. The model enables comprehensive analysis of both the machine tool system’s free vibration characteristics and the impact of performance degradation in critical bolted joints on the overall dynamic behavior. By identifying system vulnerabilities, it provides essential theoretical foundations for reliability-oriented design of bolted connections in the heavy-duty machine tool.

Key words: HDMTFS, dynamic characteristics, bolted joints, MSTMM

CLC Number:

TG156

JIANG Kai, LIU Zhifeng, CHENG Qiang, CHEN Chuanhai, ZHANG Tao. Research on Dynamic Characteristics of the Heavy-duty Machine Tool- foundation System(HDMTFS) Based on the Linear Multi-body Transfer Matrix Method[J]. Journal of Mechanical Engineering, 2026, 62(5): 357-373.

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: http://www.cjmenet.com.cn/EN/10.3901/JME.260251

http://www.cjmenet.com.cn/EN/Y2026/V62/I5/357

References

[1] 张生永，冉琰，张根保，等. 精度保持性定量评价与精度退化机理分析[J]. 机械工程学报，2022，58(7):193-213. ZHANG Shengyong，RAN Yan，ZHANG Genbao，et al. Quantitative evaluation of accuracy retention and analysis of accuracy degradation mechanism[J]. Journal of Mechanical Engineering，2022，58(7):193-213.
[2] JIANG K，LIU Z，YANG C，et al. Effects of the joint surface considering asperity interaction on the bolted joint performance in the bolt tightening process[J]. Tribology International，2022，167:107408.
[3] ZHANG T，WU Y，LIU X，et al. A closure contact model of self-affine rough surfaces considering small-，meso-，and large-scale stage without adhesive[J]. Fractal and Fractional，2024，8(10):611.
[4] THOMSON W. Matrix solution for the vibration of nonuniform beams[J]. Journal of Applied Mechanics，1950，17(3):337-339.
[5] EDUARD C. Matrix methods in elastomechanics[M]. London:McGraw-Hill，1963.
[6] 芮筱亭，贠来峰，陆毓琪，等. 多体系统传递矩阵法及其应用[M]. 北京:科学出版社，2008. RUI Xiaoting，QI Laifeng，LU Yuqi，et al. Transfer matrix method of multibody system and its application[M]. Beijing:Science Press，2008.
[7] 陈刚利. 多体系统传递矩阵法动力学求解器关键技术研究[D]. 南京:南京理工大学，2018. CHEN Gangli. Research on key technologies of dynamics solver of multibody system by the transfer matrix method[D]. Nanjing:Nanjing University of Science and Technology，2018.
[8] 顾俊杰. 多体系统传递矩阵法动力学软件研究[D]. 南京:南京理工大学，2019. GU Junjie. Research on dynamics software of multi-body system transfer matrix method[D]. Nanjing:Nanjing University of Science and Technology，2019.
[9] 张建书. 新版多体系统传递矩阵法相关问题研究[D]. 南京:南京理工大学，2017. ZHANG Jianshu. Research on the new multi-body system transfer matrix method[D]. Nanjing:Nanjing University of Science and Technology，2017.
[10] 杨海根，芮筱亭，刘怡昕，等. 多体系统传递矩阵法分布式并行计算研究[J]. 振动工程学报，2014，27(1):9-15. YANG Haigen，RUI Xiaoting，LIU Yixin，et al. Research on distributed parallel computing of multibody system by transfer matrix method[J]. Journal of Vibration Engineering，2014，27(1):9-15.
[11] 王铁成，陈国平，马方，等. 含混合间隙多体系统动力学分析[J]. 振动与冲击，2016，35(9):178-183. WANG Tiecheng，CHEN Guoping，MA Fang，et al. Dynamic analysis of multi-body system with mixed clearance[J]. Journal of Vibration and Shock，2016，35(9):178-183.
[12] 刘菲，胡权，张景瑞. 树形多体系统动力学约束力算法[J]. 力学学报，2016，48(1):201-212. LIU Fei，HU Quan，ZHANG Jingrui. Dynamic binding algorithm of tree-shaped multi-body system[J]. Chinese Journal of Theoretical and Applied Mechanics，2016，48(1):201-212.
[13] 赵燕伟，储旭明，吴茂敏. 基于多体系统传递矩阵法的多层皮革裁床转子机构的动力学模型[J]. 机械制造，2011，49(4):5-8. ZHAO Yanwei，CHU Xuming，WU Maomin. Dynamic model of multi-layer leather cutting machine rotor mechanism based on multi-body system transfer matrix method [J]. Machinery，2011，49(4):5-8.
[14] 李青宁，孙建鹏. 多点地震输入下结构地震反应分析的频域精细传递矩阵法[J]．建筑结构学报，2010，31(2):48-54. LI Qingning，SUN Jianpeng. Frequency domain precise transfer matrix method for structural seismic response analysis under multi-support earthquake input[J]. Journal of Building Structures，2010，31(2):48-54.
[15] 吉伯海，高建明，张杰. 传递矩阵法在钢斜拉桥结构计算中的应用[J]．东南大学学报，2004，34(6):838-841. JI Bohai，GAO Jianming，ZHANG Jie. Application of transfer matrix method in structural calculation of steel cable-stayed bridge[J]. Journal of Southeast University ，2004，34(6):838-841.
[16] CHANG Y，DING J，HE Z，et al. Effect of joint interfacial contact stiffness on structural dynamics of ultra-precision machine tool[J]. International Journal of Machine Tools and Manufacture，2020，158:103609.
[17] DING J，CHANG Y，CHEN P， et al. Dynamic modeling of ultra-precision fly cutting machine tool and the effect of ambient vibration on its tool tip response[J]. International Journal of Extreme Manufacturing，2020，2(2):120-136.
[18] LU H，RUI X，DING Y，et al. A hybrid numerical method for vibration analysis of linear multibody systems with flexible components[J]. Applied Mathematical Modelling，2022，101:748-771.
[19] 田杨. 基于ANSYS的重型机床-基础系统动态特性分析[J]. 机床与液压，2016，44(22):35-38. TIAN Yang. Dynamic characteristics analysis of heavy machine tool-foundation system based on ansys[J]. Machine Tool & Hydraulics，2016，44(22):35-38.
[20] 田杨. 基于多体传递矩阵法的重型龙门机床-混凝土基础系统动力学模型[J]. 机械设计与制造，2016(12):69-71. TIAN Yang. Dynamic model of heavy duty machine tool-foundation system based on transfer matrix method of multibody system[J]. Machinery Design & Manufacture，2016(12):69-71.
[21] CAI L，TIAN Y，LIU Z，et al. Application of cloud computing to simulation of a heavy-duty machine tool[J]. The International Journal of Advanced Manufacturing Technology，2016，84(1):291-303.
[22] TIAN Y，SHU Q，LIU Z，et al. Vibration characteristics of heavy-duty CNC machine tool-foundation systems[J]. Shock and Vibration，2018，30(4):291-303.
[23] TIAN Y，BOUTAT D，LIU Z，et al. State estimation of a heavy-duty machine tool-foundation system based on observability[J]. Journal of Vibration and Control，2019，25(8):1447-1459.
[24] TIAN Y，LIU Z，DONG X. Bearing deformation of heavy-duty machine tool-foundation systems and deformation detection methods[J]. Part C:Journal of Mechanical Engineering Science，2019，233(9):3232-3245.
[25] 张建涛，刘志峰，李彦生，等. 基于相似理论的重型数控机床-基础系统位移变形研究[J]. 机械工程学报，2022，58(7):309-316. ZHANG Jiantao，LIU Zhifeng，LI Yansheng，et al. Research on displacement deformation of the heavy-duty cnc machine tool-foundation system based on similarity theory[J]. Journal of Mechanical Engineering，2022，58(7):309-316.
[26] JIANG K，LIU Z，ZHANG T，et al. Influence of bolt creep induced pre-tightening force relaxation on dynamic response of the bolted joint system[J]. Journal of Sound and Vibration，2025，596:118800.
[27] JIANG K，LIU Z，ZHANG T. Numerical analysis of rough surface characteristics and their contact behavior: the PSD Vs WM function generated self-affine fractal surfaces[J]. Tribology International，2025:110741.