上海大学学报(自然科学版) ›› 2025, Vol. 31 ›› Issue (2): 223-232.doi: 10.12066/j.issn.1007-2861.2646

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人体脊柱侧凸的应力分析

孙炜涛, 华子恺, 朱俊俊, 崔西龙, 黄秀玲, 王以进   

  1. 上海大学 机电工程与自动化学院, 上海 200444
  • 出版日期:2025-04-30 发布日期:2025-05-08
  • 通讯作者: 华子恺 E-mail:zikai hua@shu.edu.cn
  • 基金资助:
    安徽省脊柱畸形临床医学研究中心 “医疗创新基金” 资助项目 (AHJZJX-ZD2023-002)

Stress analysis of human scoliosis

SUN Weitao, HUA Zikai, ZHU Junjun, CUI Xilong, HUANG Xiuling, WANG Yijin   

  1. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, China
  • Online:2025-04-30 Published:2025-05-08

摘要: 针对人体脊柱侧凸矫正进行应力分析, 采用哈氏(Harrington) 棒和鲁氏(Luque) 棒矫正方法进行测量, 并根据强度理论计算了胸腰椎各节段的应力变化. 结果表明: 经哈氏棒和鲁氏棒矫正后的Cobb 角得到了改善, 其中经哈氏棒矫正后的Cobb 角为(49.57±2.79), 经鲁氏棒矫正后的 Cobb 角为 (39.43±1.94); 脊柱的弯曲应力和剪切应力随 Cobb 角的增大而增大,并具有显著性差异 (r=0.26, p < 0.05); 胸椎各节段的弯曲应力均值为 (106.62±9.57) MPa,大于腰椎各节段的弯曲应力均值 (103.19±8.05) MPa; 胸椎各节段的剪切应力均值为(32.80±2.60) MPa, 大于腰椎各节段的剪切应力均值 (30.95±2.26) MPa; 胸椎各节段的合成应力均值为 (123.79±7.52) MPa, 腰椎各节段的合成应力均值为 (120.78±7.00) MPa; 当Cobb 角为 62时, 各节段的合成应力大于正常人体应力值, 其中 T7∼T12 节段所受的合成应力最大. 这些数据为以后的脊柱侧凸矫正提供了理论依据.

关键词: 脊柱侧凸, 哈氏棒矫正, 鲁氏棒矫正, 应力分析

Abstract:  Stress analysis for the correction of scoliosis with Harrington rod and Luque rod involved calculation of the changes in stress in various thoracolumbar spine segments based on strength theory. After correction with the Harrington rod, the Cobb angle reduced to (49.57±2.79)and after correction with the Luque rod, the Cobb angle reduced to (39.43±1.94). The bending and shear stresses of the spine increased significantly with an increase in the Cobb angle (r=0.26, p <0.05). The mean bending stress in the thoracic spine segments (106.62±9.57) MPa was greater than the mean bending stress in the lumbar spine segments (103.19±8.05) MPa. The mean shear stress in the thoracic spine segments (32.80±2.60) MPa was greater than the mean shear stress in the lumbar spine segments (30.95±2.26) MPa. The mean composite stress in the thoracic spine segments and the lumbar spine segments were (123.79±7.52) and (120.78±7.00) MPa, respectively. When the Cobb angle was 62, the composite stress in each segment was higher than the normal human body stress value, with the maximum composite stress occurring in the T7 ∼ T12 segments. These data provide a theoretical basis for the future correction of scoliosis.

Key words: scoliosis, Harrington rod correction, Luque rod correction, stress analysis

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