旋翼桨叶结构载荷计算方法比较研究

吴杰 杨卫东 虞志浩

振动与冲击 ›› 2014, Vol. 33 ›› Issue (7) : 210-214.

PDF(1046 KB)
PDF(1046 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (7) : 210-214.
论文

旋翼桨叶结构载荷计算方法比较研究

  • 吴杰 杨卫东 虞志浩
作者信息 +

A Comparative Study on Rotor Blade Structural Load Calculation Methods

  • Wu Jie Yang Weidong Yu Zhihao
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文章历史 +

摘要

基于有限转角假设,建立了刚柔耦合旋翼动力学模型。该模型考虑了刚体转动与弹性变形之间的耦合效应,相较于基于小转角假设的传统有限元模型具有明显的优势。气动力以广义力形式与桨叶刚体转动及弹性变形耦合组建方程。在方程求解的单步上,分别采用力积分法、反力法以及曲率法计算桨叶剖面结构振动载荷。以BO105模型桨叶及SA349/2小铃羊直升机为仿真对象,比较研究了这三种载荷计算方法的预测精度与适用范围。对于不考虑气动力的纯结构振动载荷,三种计算方法具有相同的精度。在气弹瞬态计算中,力积分法对桨根载荷的预测精度不足。曲率法与反力法在桨叶有限元节点处得到了相近的结果。反力法预测精度取决于有限元建模精度,且只对节点处载荷有效。由于曲率法只计入弹性桨叶的弯曲曲率,该方法需要更高阶次的形函数以满足自由度二阶导数的连续性。此外,为加速收敛及减少累积误差,本文开发了基于外推法的数值积分算法。

Abstract

Based on finite rotation hypothesis, a rigid-flexible rotor dynamic model is developed. Comparing with classical finite element model, this model introduces three rigid degrees of freedom for hinge rotations coupled with blade elastic deformations and thus has potential advantages over the small rotation beam model. Generalized aerodynamic forces are tightly coupled with structural rigid rotations and elastic deformations. Structural loads are computed using three load calculation methods (force integration method, reaction force method, and curvature method) while equations of motions are solved on each step. The loads are examined by analysis results of BO105 model blade and flight test data of SA349/2 Gazelle helicopter. All load methods can handle the structural load calculation without aerodynamic forces applied. Force summation method loses some power at sections near the blade root especially when transient aerodynamic forces are taken into account. Results from curvature method and reaction force method are nearly the same at the nodes of finite element method. Accuracy of reaction force method depends on the response solutions and only shows efficient to predict loads at the nodes. Since curvature method simplify considers the bending and torsion deflections, it requires higher order shape functions to satisfy the continuity of second derivatives. To speed up convergence and decrease accumulated errors, extrapolation technique is introduced to implement numerical integration algorithm.

关键词

旋翼动力学 / 结构载荷 / 力积分法 / 反力法 / 曲率法

Key words

rotor dynamics / structural load / force integration method / reaction force method / curvature method

引用本文

导出引用
吴杰 杨卫东 虞志浩. 旋翼桨叶结构载荷计算方法比较研究[J]. 振动与冲击, 2014, 33(7): 210-214
Wu Jie Yang Weidong Yu Zhihao. A Comparative Study on Rotor Blade Structural Load Calculation Methods[J]. Journal of Vibration and Shock, 2014, 33(7): 210-214

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