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Advances in Aircraft and Spacecraft Science
  Volume 9, Number 6, November 2022 , pages 507-523

Prediction of vibration response of functionally graded sandwich plates by zig-zag theory
Simmi Gupta and H.D. Chalak

    This study is aimed to accurately predict the vibration response of two types of functionally graded sandwich plates, one with FGM core and another with FGM face sheets. The gradation in FGM layer is quantified by exponential method. An efficient zig-zag theory is used and the zigzag impacts are established via a linear unit Heaviside step function. The present theory fulfills interlaminar transverse stress continuity at the interface and zero condition at the top and bottom surfaces of the plate for transverse shear stresses. Nine-noded C-0 FE having 8DOF/node is utilized throughout analysis. The present model is free from the obligation of any penalty function or post-processing technique and hence is computationally efficient. Numerical results have been presented on the free vibration behavior of sandwich FGM for different end conditions, lamination schemes and layer orientations. The applicability of present model is confirmed by comparing with published results. Several new results are also specified, which will serve as the benchmark for future studies.
Key Words
    finite element analysis; functionally graded material; sandwich plates; zig zag theory
Simmi Gupta and H.D. Chalak: Department of Civil Engineering, National Institute of Technology, Kurukshetra, Haryana 136-119, India

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