考虑变载影响的机床基础沉降预测模型方法研究

Study on the method of settlement prediction model for machine tool foundations considering the influence of variable loads

  • 摘要: 机床基础沉降主要由混凝土收缩徐变效应引发,大型数控龙门机床在加工期间受交变载荷作用时,工件自重与加工振动的存在会显著加剧基础变形。这种沉降变形将严重损害机床加工精度并缩短使用寿命。为准确预测基础沉降,文章基于B3模型研究变载条件下钢筋混凝土基础的收缩徐变变形特性,采用增量法分步计算混凝土应力与徐变应变,进而建立基础沉降预测模型。通过对比仿真结果与理论数据,模型预测误差控制在6%以内,验证了其有效性。进一步研究表明,受钢筋应变率限制,钢筋混凝土层沉降深度较素混凝土减少显著,相邻沉降层最大减幅达49.9%;在交变载荷作用下,随变载幅值增大,基础上层沉降量增幅可达1.13%。该模型不仅可精确计算沉降厚度,还能通过上层沉降量预测实现补偿控制,为机床精度保持提供理论依据。

     

    Abstract: The settlement of machine tool foundations is mainly caused by the shrinkage and creep effects of concrete. When large-scale CNC gantry machine tools are subjected to alternating loads during machining, the presence of workpiece self-weight and machining vibration significantly exacerbates foundation deformation. Such settlement deformation will seriously impair the machine tool’s accuracy and shorten its service life. To accurately predict foundation settlement, this study investigates the shrinkage and creep deformation characteristics of reinforced concrete foundations under variable load conditions based on the B3 model. It adopts the incremental method to calculate concrete stress and creep strain step by step, and then establishes a foundation settlement prediction model. By comparing simulation results with theoretical data, the model’s prediction error is controlled within 6%, verifying its effectiveness. Further research shows that: due to the limitation of reinforcement strain rate, the settlement depth of the reinforced concrete layer is significantly smaller than that of plain concrete, with the maximum reduction rate between adjacent settlement layers reaching 49.9%; under the action of alternating loads, as the variable load amplitude increases, the increase rate of the settlement amount in the upper layer of the foundation can reach 1.13%. This model can not only accurately calculate the settlement thickness, but also achieve compensation control through the prediction of upper-layer settlement amount, providing a theoretical basis for maintaining machine tool accuracy.

     

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