Free vibration of sigmoid functionally graded plates using the dynamic stiffness method and the Wittrick-Williams algorithm

In this paper, the free vibration characteristics of Sigmoid Functionally Graded Material (S-FGM) Levy-type plates are investigated by developing Dynamic Stiffness Method (DSM) through application Wittrick-Williams algorithm, as solution technique. Kirchoff-Love Plate Theory (KLPT) and Hamilton principle utilised to derive governing equation motion associated natural boundary conditions. Based on two power-law distribution functions, material properties gradually varied along thickness direction. Using proposed theory, a substantial number numerical examples showing made sigmoid functionally graded illustrated demonstrate accuracy method. Some results compared with published found be in excellent agreement. An extensive investigation is carried out examined discussed detail. The variations such Young’s modulus ratio density seen affect frequencies S-FGM significantly. method not only accurate but also, quite simple straightforward compute mode shapes plates. presented can used benchmark for further FGM