Numerical and experimental study of the conical connection of the blade of a rotary machine

Volodymyr Martynenko
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Abstract

The paper presents an experimental and numerical study of the tapered socket of the aluminum blade root of the mine main ventilation fan, which is based on the tests of a simplified full-scale model with a discarded airfoil and its subsequent finite element analysis. The calculation model takes into account elastoplastic properties of materials and non-linear contacts with friction. The proposed joint consists of an aluminum tapered blade root, two steel retainers with similar tapered surfaces, and two steel bolts that join the retainers around the root. Pre-tightening the bolts allows fixing the blade in an unloaded state in the socket and prevents its unwanted turns. Such a tightening is taken into account in the finite element analysis by means of determining, in compliance with special rules, the axial force of the pretension of the bolts. With the help of a hydraulic press acting on the lower surface of the airfoil root, the effect of the centrifugal load on the conical joint from the side of the blade airfoil is simulated. Nonlinear static analysis of the elastoplastic behavior of the structure allows determining the destructive loads that cause the bolts to break with the subsequent disconnection of the fasteners and the blade to fly out of the seat. The graphs of the equivalent von Mises stresses indicate that the maximum stresses are reached in the working part of the bolts, which fully corresponds to the nature of the destruction of the structure upon reaching the maximum equivalent load on it. The experimental study confirms the correctness of the determination of contact stresses at the tapered socket location. Correspondence of the results of the static analysis with the results of the full-scale experiment makes it possible to draw a conclusion about the correctness of the conducted finite element modelling. This allows using the developed formulation of the problem to determine the strength of rotor structures with conical connections of blades without performing preliminary experimental studies. In addition, the developed technique can be extended to a larger range of conical and cylindrical joints due to the simplicity of the approach and the versatility of the formulation of the nonlinear finite-element problem which models structures with preloaded or tensioned elements.
旋转机械叶片锥形连接的数值和实验研究
本文介绍了对矿井主通风机铝制叶片根部锥形凹槽的实验和数值研究,该研究基于对带有废弃机翼的简化全尺寸模型的测试以及随后的有限元分析。计算模型考虑了材料的弹塑性和非线性摩擦接触。拟议的连接装置由一个铝制锥形叶片根部、两个具有类似锥形表面的钢制固定器和两个连接根部周围固定器的钢制螺栓组成。预先拧紧螺栓可以使刀片在插座中处于空载状态,并防止其意外转动。在有限元分析中,通过按照特殊规则确定螺栓预紧的轴向力,将这种拧紧考虑在内。借助作用于机翼根部下表面的液压机,模拟了来自叶片机翼侧面的离心载荷对锥形连接的影响。通过对结构的弹塑性行为进行非线性静态分析,可以确定导致螺栓断裂、紧固件断开以及叶片飞出机座的破坏性载荷。等效 von Mises 应力曲线图显示,螺栓的工作部分达到最大应力,这完全符合结构在达到最大等效载荷时的破坏性质。实验研究证实了在锥形插口位置确定接触应力的正确性。将静态分析结果与全尺寸实验结果进行对比,可以得出所进行的有限元建模是否正确的结论。因此,无需进行初步实验研究,就能利用所开发的问题公式确定叶片锥形连接转子结构的强度。此外,由于方法简单,非线性有限元问题的表述具有多功能性,可对带有预载或张紧元素的结构进行建模,因此所开发的技术可扩展到更大范围的锥形和圆柱形连接。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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