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Size-dependent static bending, free vibration and buckling analysis of curved flexomagnetic nanobeams

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Abstract

Based on Hamilton’s variational principle, strain gradient theory and Timoshenko curved nanobeam model, governing equations and corresponding boundary conditions are derived. Governing differential equations are transformed into algebraic equations by employing Navier method, thus an analytical solution for size-dependent static bending, free vibration and buckling analysis of curved flexomagnetic nanobeam is established. Influences of opening angle, aspect ratio and scale parameter on bending deformation, free vibration and stability are discussed in detail. Compared and validated with available investigations, a good agreement is found.

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Acknowledgements

This research was partially supported by the National Natural Science Foundation of China (Grant No. 11572151), the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Nan Zhang & Shijie Zheng

  2. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, 266520, China

    Nan Zhang

  3. Liaoning Hongyanhe Nuclear Power Co Ltd, Dalian, 116001, China

    Dejin Chen

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  1. Nan Zhang
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  2. Shijie Zheng
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  3. Dejin Chen
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Correspondence to Shijie Zheng.

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Zhang, N., Zheng, S. & Chen, D. Size-dependent static bending, free vibration and buckling analysis of curved flexomagnetic nanobeams. Meccanica 57, 1505–1518 (2022). https://doi.org/10.1007/s11012-022-01506-8

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  • DOI: https://doi.org/10.1007/s11012-022-01506-8

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