Vibration Analysis of Functionally Graded Plates Using Higher Order Shear Deformation Theories (HSDT)

Received: 02-10-2014

Accepted: 25-11-2014

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Issue: Vol. 13 No. 1 (2015)

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KỸ THUẬT VÀ CÔNG NGHỆ

How to Cite:

Huan, D., Huan, D., & Lu, L. (2024). Vibration Analysis of Functionally Graded Plates Using Higher Order Shear Deformation Theories (HSDT). Vietnam Journal of Agricultural Sciences, 13(1), 99–109. http://testtapchi.vnua.edu.vn/index.php/vjasvn/article/view/1510

Vibration Analysis of Functionally Graded Plates Using Higher Order Shear Deformation Theories (HSDT)

Duong Thanh Huan (*) 1, 2 , Duong Thanh Huan 3 , Le Minh Lu 3

  • 1 Khoa Xây dựng Dân dụng và Công nghiệp, Trường Đại học Xây dựng
  • 2 Khoa Cơ Điện, Học viện Nông nghiệp Việt Nam
  • 3 Khoa Cơ điện, Học viện Nông nghiệp Việt Nam

    • Abstract


    A higher order shear deformation theory (HSDT) was presented for free vibration analysis of simply supported (diaphragm), elastic functionally graded (FG), rectangular, plates. Functionally graded materials (FGMs), although heterogeneous,are idealized as continua with their mechanical properties changing smoothly with respect to the spatial coordinates.. Poisson’s ratio was assumed to beconstant,buttheirYoung’smodulianddensitiesvarycontinuouslyinthethicknessdirectionaccording to the volume fraction of constituents, which is mathematically modelled as power law function. The equations of motion were obtained using Hamilton’s principle employing HSDT. Navier’ssolution was used to solve the equations ofmotion. The effect of variation of material properties in terms of gradation index,the effects of aspect ratios, thickness-to-side ratio on the natural frequencies of FG plates werestudied in this article. The numerical results were compared with results available in the literature to validate theoretical model of the paper.

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