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Vibration analysis of hard-coated composite beam considering the strain dependent characteristic of coating material

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Abstract

The strain dependent characteristics of hard coatings make the vibration analysis of hard-coated composite structure become a challenging task. In this study, the modeling and the analysis method of a hard-coated composite beam was developed considering the strain dependent characteristics of coating material. Firstly, based on analyzing the properties of hard-coating material, a high order polynomial was adopted to characterize the strain dependent characteristics of coating materials. Then, the analytical model of a hard-coated composite beam was created by the energy method. Next, using the numerical method to solve the vibration response and the resonance frequencies of the composite beam, a specific calculation flow was also proposed. Finally, a cantilever beam coated with MgO + Al\(_{2}\)O\(_{3}\) hard coating was chosen as the study case; under different excitation levels, the resonance region responses and the resonance frequencies of the composite beam were calculated using the proposed method. The calculation results were compared with the experiment and the linear calculation, and the correctness of the created model was verified. The study shows that compared with the general linear calculation, the proposed method can still maintain an acceptable precision when the excitation level is larger.

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Acknowledgments

This project was supported by the National Natural Science Foundation of China (Grant 51375079) and the Fundamental Research Funds for the Central Universities of China (Grant N140301001).

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    W. Sun

  2. State Key Laboratory of Mechanical System and Vibration, Institute of Vibration, Shock and Noise, Shanghai Jiao Tong University, Shanghai, 200240, China

    Y. Liu

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  1. W. Sun
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  2. Y. Liu
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Correspondence to W. Sun.

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Sun, W., Liu, Y. Vibration analysis of hard-coated composite beam considering the strain dependent characteristic of coating material. Acta Mech. Sin. 32, 731–742 (2016). https://doi.org/10.1007/s10409-016-0564-4

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  • DOI: https://doi.org/10.1007/s10409-016-0564-4

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