Dynamic and Static Analysis and Optimization Design of the Crossbeam in a Fixed-Gantry Machining Center

Authors

  • Yan Feng
  • Bo Huang
  • Wenke Du

DOI:

https://doi.org/10.62051/ijmee.v8n1.01

Keywords:

Bionic Design, Crossbeam, Dynamic and Static Characteristics, Gantry Machining Center, Topology Optimization

Abstract

In this study, to enhance the overall performance of a gantry machining center's crossbeam, static analysis identified critical load conditions (cutting forces, self-weight, and component loads). Dynamic analysis employed Yoshimura's method to establish joint dynamics models, obtaining modal parameters (natural frequencies, mode shapes, and vibration amplitudes). A hybrid optimization approach combining topology optimization and bionic design was implemented: topology optimization first determined optimal material distribution, followed by bio-inspired rib layout refinement inspired by turtle shell morphology. This methodology achieved balanced static-dynamic performance with lightweight design, integrating computational mechanics and biological structural advantages.

References

[1] Liu S H, Du Y B, Lin M. Study on lightweight structural optimization design system for gantry machine tool. Concurrent Engineering-Research and Applications, 2019, 27(2): 170-185.

[2] Ahmed F, Ko T J, Jongmin L, et al. Tool Geometry Optimization of a Ball End Mill based on Finite Element Simulation of Machining the Tool Steel-AISI H13 using Grey Relational Method. International Journal of Precision Engineering and Manufacturing, 2021, 22(7): 1191-1203.

[3] Niu P, Cheng Q, Yang C, et al. Multi-objective Topology Optimization of Machine Tool Basic Part Column for Rib Layout. Journal of Beijing University of Technology, 2025, 51(3): 241-249.

[4] Li X G, Li C Q, Li P H, et al. Structural Design and Optimization of the Crossbeam of a Computer Numerical Controlled Milling-Machine Tool Using Sensitivity Theory and NSGA-II Algorithm. International Journal of Precision Engineering and Manufacturing, 2021, 22(2): 287-300.

[5] Cao H, Chen X, He Z. Modeling of Spindle-process Interaction and Cutting Parameters Optimization in High-speed Milling. Chinese Journal of Mechanical Engineering, 2013, 49(5): 161-166.

[6] Liu K, Liao Y, Tan Z, et al. Optimization of process parameters of five-axis machine tool's cross slide based on response surface method. Journal of Machine Design, 2025, 42(3): 113-123.

[7] Wang M H, Gao L, Zheng Y H. An examination of the fundamental mechanics of cutting force coefficients. International Journal of Machine Tools & Manufacture, 2014, 78: 1-7.

[8] García-Martínez E, Molina-Yagüe A, Miguel V, et al. Harmonic-based-on analysis to discriminate different mechanical actions involved in the machining of hard-to-cut materials. The International Journal of Advanced Manufacturing Technology, 2024, 133(1): 335-349.

[9] Liu S H, Li Y, Liao Y L, et al. Structural optimization of the cross-beam of a gantry machine tool based on grey relational analysis. Structural and Multidisciplinary Optimization, 2014, 50(2): 297-311.

[10] Kim D, Lazarov B S, Surowiec T M, et al. A simple introduction to the SiMPL method for density-based topology optimization. Structural Multidisciplinary Optimization, 2025, 68(4): 1-17.

[11] Cheng D, Lu X, Sun X. Multi-objective topology optimization of column structure for vertical machining center. Procedia CIRP, 2018, 78: 279-284.

[12] Shen L, Ding X, Li T, et al. Structural dynamic design optimization and experimental verification of a machine tool. The International Journal of Advanced Manufacturing Technology, 2019, 104: 3773-3786.

[13] Tang S N, Zhu Y, Yuan S Q. Bionics-Inspired Structure Boosts Drag and Noise Reduction of Rotating Machinery. Journal of Bionic Engineering, 2023, 20(6): 2797-2813.

[14] Ji S Y, Mou Q Y, Li T, et al. The Novel Applications of Bionic Design Based on the Natural Structural Characteristics of Bamboo. Forests, 2024, 15(7).

[15] Yan S N, Li B T, Hong J. Bionic design and verification of high-precision machine tool structures. International Journal of Advanced Manufacturing Technology, 2015, 81(1-4): 73-85.

[16] Dickinson M H. Bionics: Biological insight into mechanical design. Proceedings of the National Academy of Sciences, 1999, 96(25): 14208-14209.

Downloads

Published

20-01-2026

Issue

Section

Articles

How to Cite

Feng, Y., Huang, B., & Du, W. (2026). Dynamic and Static Analysis and Optimization Design of the Crossbeam in a Fixed-Gantry Machining Center. International Journal of Mechanical and Electrical Engineering, 8(1), 1-17. https://doi.org/10.62051/ijmee.v8n1.01