力学与实践 ›› 2018, Vol. 40 ›› Issue (5): 538-542.DOI: 10.6052/1000-0879-18-097

• 应用研究 • 上一篇    下一篇

气管的非线性弯曲力学性能研究1)

张国智2)   

  1. 新乡学院 机电工程学院,河南 新乡 453003
  • 收稿日期:2018-03-14 出版日期:2018-10-15 发布日期:2018-11-14
  • 通讯作者: 2) 张国智, 副教授,主要研究方向为工程中智能仿真及优化。E-mail: guozhi_z@126.com
  • 基金资助:
    1) 河南省科技攻关项目资助(182102310696)

NONLINEAR LARGE DEFORMATION BENDING PROPERTIES OF THE TRACHEA1)

ZHANG Guozhi2)   

  1. Mechanical and Electrical Engineering College,Xinxiang University, Xinxiang 453003, Henan, China
  • Received:2018-03-14 Online:2018-10-15 Published:2018-11-14

摘要: 研究了人工气管和生物气管拉伸和弯曲的力学性能及仿真方法。根据气管拉伸实验数据,拟合建立了人工气管的线弹性和生物气管的非线性幂函数本构模型,其与实验的最大误差为18.8%。根据非线性弯曲理论,建立了气管大变形的弯曲变形方程,并得到了其解析解,计算的弯曲载荷与实验的最大误差为8.7%。基于显式有限元法提出了气管弯曲变形的有限元仿真方法,犬气管的弯曲角度的有限元计算结果与实验的误差为3%。

关键词: 人工气管|生物气管|幂函数|弯曲|大变形

Abstract: This paper studies the tension and bending properties of the artificial trachea and the biologic trachea. According to the tensile test, a nonlinear constitutive model is established with a power function and based on a linear constitutive model of the artificial trachea obtained by fitting test data, with the maximum fitting error of 18.8%. According to the nonlinear bending theory, the large deformation bending deformation equation for the trachea is established, and the analytical solution is obtained. The maximum error between the theoretical bending load and the experimental result is 8.7%. Based on the explicit finite element method, a finite element simulation method is proposed for the bending deformation of the trachea. The error for the bending angle of the dog trachea between the finite element analysis result and the experimental result is 3%.

Key words: artificial trachea|biologic trachea|power function|bending|large

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