航空学报 > 1983, Vol. 4 Issue (4): 32-38

旋翼桨叶动力分析及内力计算中有限元法的改进

刘守慎   

  1. 南京航空学院
  • 收稿日期:1982-12-01 修回日期:1900-01-01 出版日期:1983-12-25 发布日期:1983-12-25

IMPROVEMENT OF THE FINITE ELEMENT METHOD FOR ROTOR BLADE DYNAMICS ANALYSIS AND INTERNAL FORCE CALCULATION

Liu Shoushen   

  1. Nanjing Aeronautical Institute
  • Received:1982-12-01 Revised:1900-01-01 Online:1983-12-25 Published:1983-12-25

摘要: 提高用有限元法进行桨叶动力分析、特别是动内力计算的精度是本文工作的主要目的。本文建立了变剖面旋转梁协调单元族;提出利用单元动刚度矩阵直接由节点位移计算桨叶内力(简称为计算内力的“动刚度法”)。作为例子,用所导出的不同精度的有限单元和建议的内力计算方法计算了具有不连续结构特性的变剖面桨叶弯曲振动固有频率、振型和模态内力。计算结果表明,工作可以达到预期的目的。

Abstract: The work summarized in this paper aims at improving the accuracy of rotor blade dynamics analysis,and that of its internal force calculation in particular,by the finite element method.A family of nonuniform rotating beam conforming elements is developed.Also,it is proposed how the internal force of the blade can be calculated directly from the node displacement by means of the dynamic stiffness matrix of the finite element("dyna-mic stiffness method" for short).In illustration the natural frequencies,mode shapes and bending moments of a blade flapwise bending vibration have been calculated.Numerical results are presented for a typical case.The blade has discontinuosly varying bending stiffness and mass distribution along the spanwise direction.The nonuniform rotating beam conforming elements with displacement functions based respectively on the 3rd,5th and 7th order polynomial and the "dynamic stiffness method" are used in the calculation.The results show that the work has attained the predetermi-nate goal.