Topology Optimization Design Method of Machine Tool Structures Based on Thermal Inertia Matching Principle

doi:10.3901/JME.260426

Abstract

Abstract: The thermal error of machine tool during processing is an important factor of manufacturing error. Based on the existing concept of material thermal inertia, the concept of structural thermal inertia is proposed, its expression is established, its physical significance is clarified, and the technical approach of structural thermal inertia matching is discussed. Taking a five-axis direct drive vertical machining center as the research object, the thermodynamic coupling model of the whole machine is established. Based on the principle of structural thermal inertia matching and variable density method, a mathematical model of topological optimization design is established to improve the structural stiffness and reduce the temperature standard deviation. The results show that compared with the original beam structure, the mass of the optimized beam structure is reduced by 16.7%, the displacement of the tool tip is reduced by 14.8%, and the first-order frequency is increased by 8.3%. The proposed design method provides a new design idea for the design of various temperature-sensitive complex structural systems.

Key words: structural thermal inertia, topology optimization, thermo-mechanical coupling, machine tool structure, thermal performance

CLC Number:

TH122

FENG Peixuan, DING Xiaohong, XIONG Min, LIN Zhijian, LI Jian, LUO Chao. Topology Optimization Design Method of Machine Tool Structures Based on Thermal Inertia Matching Principle[J]. Journal of Mechanical Engineering, 2026, 62(9): 343-351.

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URL: http://www.cjmenet.com.cn/EN/10.3901/JME.260426

http://www.cjmenet.com.cn/EN/Y2026/V62/I9/343

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