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A coupled Galerkin and Newmark techniques for resonance simulation of the electrically single-curved system under low-velocity impact

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Abstract

The purpose of this paper is to study the stability analysis of the curved system made of piezoelectric materials under low-velocity impact. To examine the contact force through the impactor and structure, the Hertz contact model has been taken into account. The minimum potential energy method is applied for achieving the structure’s boundary and governing equations subject to a low-speed impact. In the numerical investigation’s step, the Galerkin approach could be considered as a class of techniques to changing an operator of a continuous problem to a discrete one in the displacement domains. Newmark method is presented for solving the problem in the time domains. After this, by coupling these two approaches (Galerkin and Newmark), the electrically curved system’s governing equations have been solved subjected to external loads for achieving the responses of low-velocity impact and dynamics. The results show that some geometrical and physical factors contribute considerably to the dynamic stability information of the electrically curved system under low-speed impact. The results show that the convergence study of the Galerkin method appears when the circumferential and axial mode numbers are more than 8. This study’s outcomes are likely to be employed can be used in the aircraft industries.

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Acknowledgements

Chunliang Zhang: This work was supported by the National Natural Science Foundation of China (No. 51775122).

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou, 510006, Guangdong, China

    Chunliang Zhang & Shangbin Long

  2. Faculty of Engineering, Department of Mechanics, Islamic Azad University of South Tehran Branch, Tehran, Iran

    Alireza Mohammadi

  3. Department of Civil Engineering, Payam Noor University (PNU), Tehran, Iran

    Farzaneh Sharifi Bagh

  4. Department of Civil Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia

    Abdellatif Selmi

  5. Civil Engineering Laboratory, Ecole Nationale d’Ingénieurs deTunis (ENIT), B.P. 37, Le belvédère, 1002, Tunis, Tunisia

    Abdellatif Selmi

  6. Institute of Engineering and Technology, Department of Hydraulics and Hydraulic and Pneumatic Systems, South Ural State University (SUSU), Lenin Prospect 76, Chelyabinsk, 454080, Russian Federation

    Afrasyab Khan

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  1. Chunliang Zhang
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Zhang, C., Long, S., Mohammadi, A. et al. A coupled Galerkin and Newmark techniques for resonance simulation of the electrically single-curved system under low-velocity impact. Engineering with Computers 38 (Suppl 4), 3153–3170 (2022). https://doi.org/10.1007/s00366-021-01450-3

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