On the missing modes when using the exact frequency relationship between Kirchhoff and Mindlin plates

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Numerical analysis of free vibrations of laminated composite conical and cylindrical shells (2007, background): “[29,28,24], Lam and Loy [14], Wu and Wu [54], Leissa [15], Soedel [38] and Civalek [4–6].”
Free vibration and buckling analyses of composite plates with straight-sided quadrilateral domain based on DSC approach (2007, methodology): “[14,15] presented the DSC–Ritz method for the free vibration analysis of Mindlin plates and thick shallow shells.”
Buckling and free vibrations of CNT-reinforced cross-ply laminated composite plates (2020, background): “…a singular convolution can be defined at the below (Wei 2001a) FðtÞ ¼ ðT gÞðtÞ ¼ ð1 1 Tðt xÞgðxÞdx: (18) It is shown (Wei 2001b, 2001c; Hou, Wei, and Xiang 2005; Lim et al. 2005; Yu, Zhao, and Wei 2005; Zhao, Wei, and Xiang 2005) that in different engineering problems, regularized Shannon kernel…”
Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method (2007, methodology): “Recently, the method of discrete singular convolution (DSC) proposed by Wei [1] has been increasingly applied to solve many engineering and sciences problems such as mathematical physics [2,3], fluid mechanics [4–6] and solid mechanics [7–21].”