Mathematical Modeling of the Correction of the Shape of the Rotor of the Hydraulic Unit in a Three-Dimensional Setting

Pavlo Makarov
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Abstract

The presented work is devoted to the wedging of the rotor rim of the hydraulic unit to restore its geometry. To assess the technical condition of the rotor, measurements of its shape are performed beforehand. The shape of the rotor is decomposed into a Fourier series, and the location of its geometric axis and ellipticity are determined. Based on this, a decision is made about the need for work on the centering of the hydraulic unit. Then, the vibrations of the critical components of the hydraulic unit are measured at idle without excitation and with excitation, under load in generator and pump modes to assess the possibility of its further operation. At this stage, the reasons for the unsatisfactory vibration condition of the hydraulic unit are determined. At the last stage, the boundary conditions are determined and the problem statement is performed for performing a mechanical calculation in a three-dimensional setting to take into account expansions that compensate for mechanical deformations. The calculation itself is carried out and a decision is made to wedge the rotor rim of the hydraulic unit.
液压单元转子形状三维校正的数学建模
提出的工作是致力于楔形转子轮辋的液压单元,以恢复其几何形状。为了评估转子的技术状况,事先对转子的形状进行了测量。将转子的形状分解为傅里叶级数,确定其几何轴和椭圆度的位置。在此基础上,确定了液压单元对中工作的必要性。然后,在无激励和有激励状态下,在发电机和泵的负载模式下,测量液压单元关键部件的振动,以评估其进一步运行的可能性。在此阶段,确定了液压单元振动状况不理想的原因。在最后阶段,确定边界条件并执行问题陈述,以便在三维环境中进行力学计算,以考虑补偿机械变形的膨胀。进行了数值计算,并决定将液压装置转子边缘楔入。
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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