The effect of parameterization on isogeometric analysis of free-form curved beams

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• 作者：Seyed Farhad Hosseini ; Behnam Moetakef-Imani ; Saeid Hadidi-Moud…
• 刊名：Acta Mechanica
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：227
• 期：7
• 页码：1983-1998
• 全文大小：2,441 KB
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics, Fluids and Thermodynamics
  Continuum Mechanics and Mechanics of Materials
  Structural Mechanics
  Vibration, Dynamical Systems and Control
  Engineering Thermodynamics and Transport Phenomena
  
• 出版者：Springer Wien
• ISSN：1619-6937
• 卷排序：227

文摘

In the present paper, the effect of parameterization on the results of isogeometric analysis of free-form approximated curved beams is investigated. An Euler–Bernoulli beam element for an initially curved beam with variable curvature is developed. The model is applied to four different examples. The effect of three parameterization strategies (the equally spaced method, the chord length method and the centripetal method) in the curve approximation process is considered. Also, the effect of least square approximation error is taken into consideration. The results strongly suggest avoiding the equally spaced method. Among the chord length and centripetal methods, the method which leads to a less least square error is recommended.