Abstract
This study addresses a dynamic modeling and design methodology for machine tools based on parallel artificial neural networks and genetic algorithms. Firstly, subjected to geometrical and static stiffness constraints, a machine tool optimization problem is proposed by minimizing the weighted functions of lower-order natural frequencies and frequency responses. Then, the dynamic analysis of the holistic machine tool is systematically investigated based on the proposed improved reduced dynamic model, leading to the formulation of the mathematical expression for multi-objective optimization. Utilizing genetic algorithms, the proposed optimization problem is solved after the functions between performance and design variables are approximated by employing feedforward backpropagation neural networks. Finally, an optimization example and experiments are implemented on a box-in-box type precision horizontal machine tool prototype. The designed machine tool offers expected dynamic behaviors over the task workspace. Experimental results demonstrate that the derived model is accurate and effective for the prediction of lower-order dynamics, as well as the effectiveness of the design methodology used in its development.


















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References
Liu C, Vengayil H, Zhong RY et al (2018) A systematic development method for cyber-physical machine tools. J Manuf Syst 48:13–24
Wang Y, Wang D, Zhang S et al (2022) Design and development of a five-axis machine tool with high accuracy, stiffness and efficiency for aero-engine casing manufacturing. Chinese J Aeronaut 35:485–496
Altintas Y, Brecher C, Week M et al (2005) Virtual Machine Tool. CIRP Ann - Manuf Technol 54:115–138
Gao W, Haitjema H, Fang FZ et al (2019) On-machine and in-process surface metrology for precision manufacturing. CIRP Ann - Manuf Technol 68:843–866
Shen L, Ding X (2019) Structural dynamic design optimization and experimental verification of a machine tool. Int J Adv Manuf Technol 104:3773–3786
Ahmadi K, Ahmadian H (2007) Modelling machine tool dynamics using a distributed parameter tool-holder joint interface. Int J Mach Tools Manuf 47(12–13):1916–1928
Polyakov AN, Kamenev SV (2019) A method to select the finite element models for the structural analysis of machine tools. J Phys Conf Ser 1399:044033
Wang J, Niu W, Ma Y et al (2017) A CAD/CAE-integrated structural design framework for machine tools. Int J Adv Manuf Technol 91(1–4):545–568
Huang HW, Tsai MS, Huang YC (2018) Modeling and elastic deformation compensation of flexural feed drive system. Int J Mach Tools Manuf 132:96–112
Piras G, Cleghorn WL, Mills JK (2005) Dynamic finite-element analysis of a planar high-speed, high-precision parallel manipulator with flexible links. Mech Mach Theory 40(7):849–862
Law M, Phani AS, Altintas Y (2013) Position-Dependent Multibody Dynamic Modeling of Machine Tools Based on Improved Reduced Order Models. J Manuf Sci E-T ASME 135(2):2186–2199
Law M, Ihlenfeldt S (2014) A frequency-Based substructuring approach to efficiently model position-Dependent dynamics in machine tools. P I Mech Eng K-J Mul 229(3):304–317
Kroll L, Blau P, Wabner M et al (2011) Lightweight components for energy-efficient machine tools. CIRP J Manuf Sci Technol 4:148–160
Yan S, Li B, Hong J (2015) Bionic design and verification of high-precision machine tool structures. Int J Adv Manuf Technol 81:73–85
Liu S (2015) Multi-objective optimization design method for the machine tool’s structural parts based on computer-aided engineering. Int J Adv Manuf Technol 78:1053–1065
Cheng D, Lu X, Sun X (2018) Multi-objective topology optimization of column structure for vertical machining center. Procedia CIRP 78:279–284
Wu P, He Y, Li Y et al (2022) Multi-objective optimisation of machining process parameters using deep learning-based data-driven genetic algorithm and TOPSIS. J Manuf Syst 64:40–52
Lu H, Ding Y, Chang Y et al (2020) Dynamics Modelling and Simulating of Ultra-precision Fly-Cutting Machine Tool. Int J Precis Eng Manuf 21:189–202
Huynh HN, Altintas Y (2022) Multibody dynamic modeling of five-axis machine tool vibrations and controller. CIRP Ann 71:325–328
Bilgili D, Budak E, Altintas Y (2022) Multibody dynamic modeling of five-axis machine tools with improved efficiency. Mech Syst Signal Process 171:108945
Chen H, Tan Z, Tan F, Yin G (2020) Dynamic performance analysis and optimization method of the horizontal machining center based on contact theory. Int J Adv Manuf Technol 108:3055–3073
Ji Q, Li C, Zhu D et al (2020) Structural design optimization of moving component in CNC machine tool for energy saving. J Clean Prod 246:118976
Tong VC, Hwang J, Shim J et al (2020) Multi-objective Optimization of Machine Tool Spindle-Bearing System. Int J Precis Eng Manuf 21:1885–1902
Li X, Li C, Li P et al (2021) Structural Design and Optimization of the Crossbeam of a Computer Numerical Controlled Milling-Machine Tool Using Sensitivity Theory and NSGA-II Algorithm. Int J Precis Eng Manuf 22:287–300
Mario P (1984) Dynamic condensation. AIAA J 22(5):724–727
Song Y, Tian W, Tian Y et al (2022) Calibration of a Stewart platform by designing a robust joint compensator with artificial neural networks. Precis Eng 77:375–384
Sharkawy AN (2020) Principle of neural network and its main types: review. Comput Math 7:8–19
Acknowledgements
This work is partially funded by the EU grant H2020-RISE-ECSASDPE (734272) and the China Scholarship Council (201908060118). Thanks are due to Tianjin University for assistance with the experiments.
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Ma, Y., Tian, Y. & Liu, X. Structural optimization design of machine tools based on parallel artificial neural networks and genetic algorithms. Neural Comput & Applic 35, 25201–25221 (2023). https://doi.org/10.1007/s00521-023-08371-w
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DOI: https://doi.org/10.1007/s00521-023-08371-w