High installation and maintenance costs of electrical submersible pumps (ESP) operating in deepwater production wells led to the development of rigorous tests to verify the performance and structural integrity of this equipment. The so-called integration tests are the last opportunity to evaluate the ESP set before it is dispatched for installation in oil production wells. Due to the possibility of mechanical failures during the integration tests, vibration analysis and fault identification methodologies are being proposed to identify the most common faults prematurely, before they lead to catastrophic damage.

The methodology proposed in this work is part of this effort and allows smooth and expand the ESP's experimental mode shapes, for locations that have not been instrumented. The local correspondence of modes and modal coordinates, proposed in this work, optimizes the sets of finite element modes and experimental degrees of freedom that should be used to maximize the modal assurance criteria (MAC). Thus, it is not necessary to carry out an exhaustive search across the entire FE modal base and combinatorial analysis can be used to search for optimal sets of FE mode shapes and experimental DOFs. Results showed that the smoothing process was successful, with MAC values greater than 0.9.

在深水生产井中使用的潜水电泵（ESP）的高昂安装和维护成本导致开发了严格的测试来验证该设备的性能和结构完整性。所谓的集成测试是在将ESP调度安装到石油生产井中之前评估ESP的最后机会。由于在集成测试过程中可能发生机械故障，因此提出了振动分析和故障识别方法，以在导致灾难性损害之前过早地识别最常见的故障。

这项工作中提出的方法是这项工作的一部分，可以使ESP的实验模式形状变得平滑和扩展，适用于尚未安装仪器的位置。在这项工作中提出的模态和模态坐标的局部对应关系，优化了应用于最大化模态保证标准（MAC）的有限元模态和实验自由度的集合。因此，没有必要在整个有限元模态基础上进行详尽的搜索，并且可以使用组合分析来搜索有限元模态形状和实验自由度的最佳集合。结果表明，平滑处理是成功的，MAC值大于0.9。