For machine tools composed of functional components bonded by joints with structural nonlinearities, the load- and temperature-dependent nonlinear restoring force,stiffness, and frictional heat generationfrom the jointdetermine its complex dynamic fully coupled thermal-structural-vibration characteristics. In response, in this work, considering the vibration feedback dominated by the structural vibration and employing a partition-based closed-loop iterative algorithm, a fully coupled thermal-structural-vibration model that characterizes the nonlinear coupling between temperature and mechanical fields is developed with the joint as the link. The multi-body dynamics model of the whole machine tool, considering the flexibility of the screw shaft, spindle, and joint nonlinearity, characterizes the milling dynamics influenced by structural vibration and regeneration effects. The global thermal resistance network model with dynamic heat flux, viscosity-temperature effect, and time-varying thermal resistanceis establishedto characterize the thermal characteristics. The partition-based closed-loop iterative algorithm is employed to realize the multi-field coupling and consider the moving heat source and the load distribution change caused by the reciprocating moving joint. Considering the changes in contact angle and contact deformation caused by preload, dynamic load, and thermal effect, load- and temperature-dependent nonlinear joint restoring force and stiffnessare developed. Based on the viscosity-temperature effects and the change of contact friction caused by thermal expansion and dynamic load, the load- and temperature-dependent nonlinear joint frictional heat generation is calculated. The milling load from tool-workpiece interaction is calculated, and the influence of multi-field coupling on regenerative chatter is explored. The proposed model was experimentally verified, andthe effectof parameterswas numerically investigated. The results show that the dynamic milling load excites the whole machine tool vibration, and for every 10 μm increase in cutting depth, the radial amplitude of the tool nose increased by at least 1 μm. The nonlinear coupling between temperature and mechanical field significantly affects the system response, and the joint contact stiffness dominates the multi-field coupling behavior.

中文翻译：

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考虑结构非线性的复杂混合线性轴-主轴系统的 3 轴机床的完全耦合热-结构-振动特性


对于由具有结构非线性的接头粘合的功能部件组成的机床，与载荷和温度相关的非线性恢复力、刚度和接头产生的摩擦热决定了其复杂的动态全耦合热-结构-振动特性。为此，在这项工作中，考虑到以结构振动为主的振动反馈，并采用基于分区的闭环迭代算法，开发了一个以关节为纽带的全耦合热-结构-振动模型，该模型表征了温度和机械场之间的非线性耦合。整个机床的多体动力学模型，考虑了丝杠轴、主轴和关节非线性的柔韧性，表征了受结构振动和再生效应影响的铣削动力学。建立了具有动态热通量、黏温效应和时变热阻的全局热阻网络模型，对热特性进行了表征。采用基于分区的闭环迭代算法实现多场耦合，并考虑移动热源和往复运动节引起的载荷分布变化。考虑预载荷、动载荷和热效应引起的接触角和接触变形的变化，开发了载荷和温度相关的非线性关节恢复力和刚度。基于黏度-温度效应以及热膨胀和动态载荷引起的接触摩擦变化，计算了与载荷和温度相关的非线性关节摩擦热产生。 计算了刀具-工件相互作用的铣削载荷，并探讨了多场耦合对再生颤振的影响。对所提出的模型进行了实验验证，并对参数的影响进行了数值研究。结果表明，动态铣削载荷激发了整个机床的振动，切削深度每增加 10 μm，刀尖的径向振幅至少增加 1 μm。温度和机械场之间的非线性耦合显著影响系统响应，而接头接触刚度在多场耦合行为中占主导地位。