| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 308880 | Thin-Walled Structures | 2014 | 9 Pages |
•A novel formulation is presented for free vibration analysis of circular stepped thin plates.•Regularity conditions at the circular plate center are not needed with the proposed method.•Discrete singular convolution (DSC) circular plate element and annular plate element are established.•The formulation and accuracy of the method are verified by comparing results to existing data.
Novel formulation is presented by using the discrete singular convolution (DSC) for free vibration analysis of circular thin plates with uniform and stepped thickness. Different from the commonly used ones in literature, regularity conditions are not needed at the circular plate center point to avoid singularity. DSC circular and annular thin plate elements are established. For the DSC circular plate element with radius of R1, the stiffness equation is first formulated in region [−R1, R1] with even number of nodes and then reduced to region [0, R1] by using either symmetric or anti-symmetric conditions. The proposed DSC circular and annular plate elements are used for obtaining frequencies of uniform/stepped circular thin plates or annular thin plates with different boundary conditions. Comparison of the present DSC results to existing analytic and numerical solutions verifies the proposed formulations. The present research extends the DSC method to free vibration of circular thin plates with stepped thicknesses.
