基于优化控制点监测的Laplace变形曲面复现

Recurrence of Laplace Deformation Surface Based on Optimized Control Point Monitoring

针对装配过程中曲面变形检测工程强度大、处理过程繁琐等问题,提出一种基于优化控制点监测的Laplace曲面复现技术。首先,按照约束方式不同对构件进行模型简化,通过对简化模型挠曲线定性分析进行控制点点位布设和间距优化;其次,通过以质心为基准按长度等比例映射在源模型和现实变形构件之间建立关系,以确定源模型上对应的控制点坐标;在此基础上对曲面进行Laplace变形,以达到复现曲面能够切实反映真实变形构件的目的。通过实验从一般尺寸规则曲面推广到以机翼为代表的大尺寸复杂曲面,其重建精度93%可控制在0.1 mm以内,能切实反映构件实际变形,在实际应用中具有重要的工程指导意义。

This study proposes a method for Laplace surface recurrence based on optimized control point monitoring to tackle the challenges of highintensity and timeconsuming of surface deformation detection engineering processing in the assembly process.First,the model is simplified based on various constraints,control points are placed,and spacing is optimized using a qualitative analysis of the simplified model’s deflection.Second,by mapping the source model with the centroid as the reference point and determining the corresponding control point coordinates on the source model,the relationship between the source model and the real deformation component is established.On this basis,the surface is subjected to Laplace deformation to ensure that the reconstructed surface can reflect the real deformed component.The experimental results show that the reconstruction accuracy of 93%can be controlled within 0.1 mm,reflecting the actual deformation of components.This study is significant in terms of engineering guidance in practical application.