Free vibration of bidirectional functionally graded sandwich beams using a first-order shear deformation finite element formulation

  • Le Thi Ngoc Anh Institute of Applied Mechanics and Informatics, VAST, 291 Dien Bien Phu street, Ho Chi Minh city, Vietnam
  • Vu Thi An Ninh University of Transport and Communications, 3 Cau Giay street, Dong Da district, Hanoi, Vietnam
  • Tran Van Lang Institute of Applied Mechanics and Informatics, VAST, 291 Dien Bien Phu street, Ho Chi Minh city, Vietnam
  • Nguyen Dinh Kien Institute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi, Vietnam

Abstract

Free vibration of bidirectional functionally graded sandwich (BFGSW) beams is studied by using a first-order shear deformation finite element formulation. The beams consist of three layers, a homogeneous core and two functionally graded skin layers with material properties varying in both the longitudinal and thickness directions by power gradation laws. The finite element formulation with the stiffness and mass matrices evaluated explicitly is efficient, and it is capable of giving accurate frequencies by using a small number of elements. Vibration characteristics are evaluated for the beams with various boundary conditions. The effects of the power-law indexes, the layer thickness ratio, and the aspect ratio on the frequencies are investigated in detail and highlighted. The influence of the aspect ratio on the frequencies is also examined and discussed.

Keywords:

BFGSW beam; first-order shear deformation theory; free vibration; finite element method.

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Published
19-08-2020
How to Cite
Anh, L. T. N., Ninh, V. T. A., Lang, T. V., & Kien, N. D. (2020). Free vibration of bidirectional functionally graded sandwich beams using a first-order shear deformation finite element formulation. Journal of Science and Technology in Civil Engineering (STCE) - NUCE, 14(3), 136-150. https://doi.org/10.31814/stce.nuce2020-14(3)-12
Section
Research Papers