FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED DOUBLY-CURVED SHALLOW SHELLS INCLUDING THERMAL EFFECT

Ngày nhận bài: 30-08-2017

Ngày duyệt đăng: 03-11-2017

Ngày xuất bản: 06-08-2025

DOI: https://doi.org/10.31817/tckhnnvn.2017.15.10.

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Số: Tập 15 Số 10 (2017)

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Cách trích dẫn:

Thuan, D., Quoc, T., Tu, T., & Lu, L. (2025). FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED DOUBLY-CURVED SHALLOW SHELLS INCLUDING THERMAL EFFECT. Tạp Chí Khoa học Nông nghiệp Việt Nam, 15(10), 1410–1422. https://doi.org/10.31817/tckhnnvn.2017.15.10.

FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED DOUBLY-CURVED SHALLOW SHELLS INCLUDING THERMAL EFFECT

Duong Thanh Thuan (*) 1, 2 , Tran Huu Quoc 1, 2 , Tran Minh Tu 1, 2 , Le Minh Lu 1, 2

  • Tác giả liên hệ: [email protected]
  • 1 Faculty of Engineering, Vietnam National University of Agriculture
  • 2 National University of Civil Engineering

    • Từ khóa

    Functionally graded materials (FGM), free vibration analysis, FSDT, FEM, thermal environment, doubly-curved shells

    Tóm tắt


    In this paper, theoretical formulation, Navier’s solutions, and finite element models based on the first-order shear deformation shell theory are presented for the free vibration analysis of functionally graded doubly-curved shallow shell panels including thermal effects. The temperature field was considered to have a uniform distribution over the shell surface and varied in the thickness direction only. The material properties were assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. All four edges of the shell panels were assumed to be simply supported. Comparisons reveal that the numerical results obtained from the proposed method agree well with those available in the literature. The effects of the side-to-thickness ratio (a/h), temperature fields (Tc), and volume fraction distribution (p) on the natural frequencies of the functionally graded doubly-curved shallow shell panels were also investigated in the present study.

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