Inverse vibration problem for inhomogeneous circular plate with translational spring

The free vibrations of uniform and homogeneous circular plates with translational springs have been studied in the literature for some time; although exact solutions have been found, no closed-form solution has been reported yet. s study, using the semi-inverse method we derive a closed-form solution for the natural frequency via postulating the vibration mode of the plate as a polynomial of the radial coordinate.