Exact characteristic equations for some of classical boundary conditions of vibrating moderately thick rectangular plates

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A NOVEL APPROACH FOR IN-PLANE/OUT-OF-PLANE FREQUENCY ANALYSIS OF FUNCTIONALLY GRADED CIRCULAR/ANNULAR PLATES (2010, background): “A beneficial study for deriving the exact closed-form characteristic equations of freely vibrating isotropic rectangular Mindlin plates for the six cases having two opposite sides simply supported was carried out by Hosseini-Hashemi and Arsanjani [6].”
Analysis of laminated composite plates using wavelet finite element method and higher-order plate theory (2015, background): “This theory takes into account the effect of transverse deformation and improves the calculation accuracy of moderately thick plate [5,6].”
Study on the free vibration of thick functionally graded rectangular plates according to a new exact closed-form procedure (2011, background): “A very beneficial study for deriving the exact closed-form characteristic equations of freely vibrating isotropic rectangular Mindlin plates for the six cases having two opposite sides simply supported was carried out byHosseini-Hashemi and Arsanjani [12].”
Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation (2011, unknown): “[22] 26.”