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Free Vibration Analysis of Thick Laminated Composite Shells Using Analytical and Finite Element Method

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Abstract

Purpose

The aim of this work is to investigate the free vibration study of sandwich cylindrical and spherical shells made of laminated composite by applying the finite element method utilizing the computer code ANSYS 19 and the revised shear deformation theory with four-variable.

Methods

The study uses two approaches that combine analytical and finite element methods to fully understand the vibration response in these complex structures. The suggested theoretical model’s kinematics is determined by an undetermined integral component, and it incorporates the effects of transverse shear stresses through the thickness of the plate/shell using the hyperbolic form function. The present model guarantees the fulfillment of zero shear stress conditions at the upper and lower surfaces of the plate/shell without the need for a shear correction factor, in contrast to typical first order shear deformation theories (FSDTs). The equations of motion are identified and solved using the Navier method and the Hamilton’s principle.

Results

The current results are compared with other higher-order theories found in the literature to verify the veracity of the current hypothesis. It has been noted that the fundamental frequency values derived using the current theory are very similar to those found in the literature. In addition, the effects of the radius of curvature aspect ratio and mode vibration are considered.

Conclusions

Based on the analysis, it can be said that the kinematics based on the indeterminate integral component are very efficient and, when used in the study of laminated plates and shells, lead to higher accuracy than conventional approaches.

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Data Availability

The data used in this study is not publicly available due to ethical and legal reasons. The data provider/owner did not give us permission to share the data. Therefore, the data cannot be made available on request.

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Acknowledgements

The Authors extend their appreciation to the Deanship Scientific Research at King Khalid University for funding this work through large group Research Project under grant number: RGP2/463/44.

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Authors and Affiliations

  1. Engineering and Sustainable Development Laboratory, Faculty of Science and Technology, Civil Engineering Department, University of Ain Temouchent, Ain Temouchent, Algeria

    Amina Attia

  2. Faculty of Science and Technology, Civil Engineering Department, University of AinTemouchent, Ain Temouchent, Algeria

    Amina Tahar Berrabah

  3. Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria

    Fouad Bourada

  4. Science and Technology Department, Faculty of Science and Technology, Tissemsilt University, Tissemsilt, Algeria

    Fouad Bourada

  5. Laboratoire de Modélisation Et Simulation Multi-Échelle, Université de Sidi Bel Abbés, Sidi Bel Abbès, Algeria

    Abdelmoumen Anis Bousahla

  6. Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261, Dhahran, Eastern Province, Saudi Arabia

    Abdelouahed Tounsi

  7. Center for Engineering Application & Technology Solutions, Ho Chi Minh City Open University, Ho Chi Minh City, Vietnam

    Abdelouahed Tounsi & Thanh Cuong-Le

  8. Department of Mechanical Engineering, College of Engineering, King Khalid University, 61421, Abha, Saudi Arabia

    Mohamed Abdelaziz Salem

  9. Department of Civil Engineering, College of Engineering, King Khalid University, 61421, Abha, Saudi Arabia

    Khaled Mohamed Khedher

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  1. Amina Attia
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  5. Abdelouahed Tounsi
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Correspondence to Abdelouahed Tounsi.

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Attia, A., Berrabah, A.T., Bourada, F. et al. Free Vibration Analysis of Thick Laminated Composite Shells Using Analytical and Finite Element Method. J. Vib. Eng. Technol. (2024). https://doi.org/10.1007/s42417-024-01322-2

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