A “soft table” for the natural frequencies and modal parameters of uniform circular plates with elastic edge support

The paper introduces a “soft table” for the natural frequencies and modal parameters of uniform circular plates with elastic edge support. In contrast to conventional tabulations on paper, the “soft table” allows to save space and display parameters for required number of vibration modes. The “soft table” is realized in a collection of Matlab® codes that calculate natural frequencies and mode shape parameters for a given set of translational and rotational constraints and modifiable Poisson ratio. Calculations of natural frequencies and modal parameters for a wide range of constraints revealed distinctive regions where the frequencies and parameters could change considerably. Knowing position and extension of these regions could be essential for design and vibration control of structures incorporating circular plates.