Research on Determining Method of Distorted Scaling Laws of Vibration Response of Cementing Casing String Distortion Model

doi:10.3901/JME.2025.07.406

Abstract

Abstract: To solve the problem of prototype vibration test’s high cost and difficulty of the cementing casing string vibration test, a similarity design method for cementing casing string distortion model test is proposed. Firstly, the finite element method is used to establish the dynamic model of the cementing casing string, and the vibration response is solved based on the modal superposition principle. Then, the correctness and accuracy of the dynamic model are verified by experiments. Secondly, the equation analysis method is used to derive the similarity relationship of vibration response of cementing casing string distortion model with centralizer distribution support. Finally, the similarity analysis of the vibration response of the cementing casing string under different distortion parameter similarity ratios is carried out by numerical calculation, and the correctness of the distortion similarity relationship of the cementing casing string is verified by the results of numerical calculation analysis and distortion similarity model test. The research reveals that the natural frequency and vibration response of the large-scale distorted cementing casing string can be well predicted by this method, which put forward an effective solution for the problems of too small wall thickness caused by equal scale scaling of cementing casing string to manufacture and the high cost of tests.

Key words: cementing casing string, equation analysis, uibration response, similarity relation, model test

CLC Number:

TE256
O327

QI Linshan, YIN Yiyong, WANG Liyan, QU Congfeng, YU Yongjin, LIU Binhui, XIA Xiujian, ZHANG Xiaobing, BAI Hanqin. Research on Determining Method of Distorted Scaling Laws of Vibration Response of Cementing Casing String Distortion Model[J]. Journal of Mechanical Engineering, 2025, 61(7): 406-420.

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