Similitude theory is widely used to predict the structural responses of the full-size prototype through scaled models and is categorized into complete and partial similitude according to the way of scaling parameters. Partial similitude is more flexible in practical design engineering, but its accuracy still needs to be improved. This study presents an improved partial similitude approach, which can be used to establish the scaling laws and understand the scaling behaviors of rotor systems. The aim is to overcome the insufficient accuracy of the existing methods in predicting the dynamic characteristic of rotor systems. The power in scaling laws is represented by a function, which is related to the scaling factor of the prototype to be predicted. In this work, the power function is developed by incorporating the Levenberg–Marquardt method and sensitivity analysis. The accuracy and effectiveness of the proposed partial similitude method are validated through numerical and experimental case studies, where the distortion in geometrical dimension is considered. The dynamic characteristic of prototypes is predicted through the scaled model. Furthermore, the accuracy of the proposed method is evaluated by using the existing methods. Both the numerical and experimental case studies indicate that the proposed method achieves higher accuracy than the existing methods in predicting the dynamic characteristic of rotor systems.

相似理论广泛用于通过缩放模型预测全尺寸原型的结构响应，根据缩放参数的方式分为完全相似和部分相似。部分相似在实际设计工程中较为灵活，但其精度仍有待提高。本研究提出了一种改进的部分相似方法，可用于建立标度定律并了解转子系统的标度行为。目的是克服现有方法在预测转子系统动态特性方面的准确性不足。缩放定律的功效由一个函数表示，该函数与要预测的原型的缩放因子有关。在这项工作中，幂函数是通过结合 Levenberg-Marquardt 方法和敏感性分析而开发的。通过数值和实验案例研究验证了所提出的部分相似方法的准确性和有效性，其中考虑了几何尺寸的失真。通过比例模型预测原型的动态特性。此外，通过使用现有方法评估所提出方法的准确性。数值和实验案例研究表明，所提出的方法在预测转子系统的动态特性方面比现有方法具有更高的精度。其中考虑了几何尺寸的变形。通过比例模型预测原型的动态特性。此外，通过使用现有方法评估所提出方法的准确性。数值和实验案例研究表明，所提出的方法在预测转子系统的动态特性方面比现有方法具有更高的精度。其中考虑了几何尺寸的变形。通过比例模型预测原型的动态特性。此外，通过使用现有方法评估所提出方法的准确性。数值和实验案例研究表明，所提出的方法在预测转子系统的动态特性方面比现有方法具有更高的精度。