Design Method of Distorted Dynamics Similitude Test Model Considering Variable Power and Experimental Study

doi:10.3901/JME.2020.23.107

Abstract

Abstract: Dynamics similitude theory is widely used in vibration test of large structures. Distorted similitude is used to solve the similitude problem that the design parameters of structures do not satisfy equal scaling. Aiming at the problem of low prediction accuracy caused by the fixed power in distorted scaling laws, this paper proposes a design method of distorted dynamics similitude test model considering variable power. Firstly, on the basis of the power of scaling factor deduced by the sensitivity analysis and the central difference theory, the range of the central difference theory is expanded to obtain a set of powers which is used to fit a function related with the scaling factor by the least square method. Then, the proposed method is compared with two methods in literatures in the numerical example of multi-disc rotor system. It is found that the accuracy of the proposed method is much higher than that of the methods in literatures. Finally, the dynamic model and its solution of the numerical example are verified by the experimental study. The prediction results in the numerical example are also considered verified since the scaling laws are developed based on the critical speeds of the dynamic model.

Key words: distorted similitude, scaling laws, multi-disc rotor system, sensitivity analysis, variable power

CLC Number:

TH113

LI Lei, LUO Zhong, HE Fengxia, ZHANG Wendi. Design Method of Distorted Dynamics Similitude Test Model Considering Variable Power and Experimental Study[J]. Journal of Mechanical Engineering, 2020, 56(23): 107-117.

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