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中文核心期刊

球体结构表面变形全周测量分析方法研究

RESEARCH ON PANORAMIC SURFACE DEFORMATION MEASUREMENT AND ANALYSIS METHOD FOR SPHERE STRUCTURE

  • 摘要: 球体结构凭借卓越的机械性能与空间几何特性, 在航空航天、精密制造及土木工程等关键领域发挥着重要作用, 然而球体几何特性决定了其表面测量具有大曲率、全周和全场的特点. 针对球体变形的高精度三维测量, 现有研究仍相对匮乏, 难以满足实际工程应用与科学研究的迫切需求. 基于此, 本文提出了针对球体表面测量的多相机数字图像相关(Digital Image Correlation, DIC)系统架构创新方案. 研究首先通过分析与优化不同相机夹角下的有效测量视场与精度, 确定球体测量工况下子系统中相机最佳观测夹角为20°, 该夹角在面内与离面变形测量精度之间取得了最优平衡. 基于该优化方案, 构建了一套结构简单、稳定性强、精度高的“1-6-1”多相机DIC测量系统, 采用基于正二十面体标定物的全周标定法实现多相机系统全局坐标系的统一, 该系统的测量相对误差小于1%, 拼接误差在视场的0.05%以内. 将该系统应用于竹编蹴鞠与高分子柔性充气球的加压变形测量, 成功实现了球体结构表面全周、全场的高精度变形测量. 基于球坐标系变形数据表征方法进一步分析蹴鞠与柔性充气球表面变形场的演化规律与力学响应机制, 有效验证了“1-6-1”多相机DIC测量系统在球体表面全场变形测量与力学研究中的可行性.

     

    Abstract: Spherical structures play a crucial role in key fields such as aerospace, precision manufacturing, and civil engineering due to their excellent mechanical properties and spatial geometric characteristics. However, the geometric characteristics of spheres determine that their surface measurements have the characteristics of large curvature, full circumference, and full field. The existing research on high-precision three-dimensional measurement of spherical deformation is still relatively scarce, which cannot meet the urgent needs of practical engineering applications and scientific research. To address this, this paper proposes an innovative multi-camera Digital Image Correlation (DIC) system architecture tailored for spherical surface measurement. The paper first analyzed and optimized the effective measurement field of view and accuracy under different camera angles, and determined that the optimal observation angle of the camera in the subsystem under spherical measurement conditions was 20°, which achieved the optimal balance between in-plane and out of plane deformation measurement accuracy. Based on the optimization scheme, a simplified, stable and high-precision "1-6-1" multi-camera DIC system was developed. The panoramic calibration method based on icosahedral calibration objects was used to unify the global coordinate system of the multi camera system. The relative measurement error of the system was less than 1%, and the stitching error was within 0.05% of the field of view. The system was applied to the pressure deformation measurement of bamboo Cuju and polymer flexible inflatable balls, successfully achieving high-precision deformation measurement of the entire circumference and field of the spherical structure surface. Based on the deformation data representation method in spherical coordinate system, the evolution law and mechanical response mechanism of the deformation field on the surface of Cuju and flexible inflatable balls were further analyzed, effectively verifying the feasibility of the "1-6-1" multi camera DIC measurement system in the full field deformation measurement and mechanical research of spherical surfaces.

     

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