Vibration of rectangular Mindlin plates with tapered thickness by the spline strip method

Abstract This paper presents the vibrations of rectangular Mindlin plates with linearly tapered thicknesses in one direction using the spline strip method. The two opposite edges perpendicular to the direction of the thickness variation are simply supported and the other two edges may be arbitrary boundary conditions. To demonstrate the convergence and accuracy of the present method, several examples are solved, and results are compared with those obtained by the analytical method and by other numerical methods. Stable convergence and excellent accuracy are obtained using the higher order spline strip modes. Accurate frequencies of rectangular thick plates with some boundary conditions are analysed by changing aspect ratios, a b , thickness ratios, b h 0 , tapered ratios, δ. These are presented in tabular form.

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