Effects of variable thickness circular plates on frequency response functions and shock response spectrum

Document Type

Conference Proceeding

Publication Date



Department of Mechanical Engineering-Engineering Mechanics


Resonant plates used for shock testing are typically a constant thickness. Prior research demonstrated that circular plates utilize symmetry to limit the number of contributing modes, although more design control is necessary to achieve target shock response spectra (SRS). Analytical modeling results show that variable thickness plates provide more flexibility to meet a target SRS. The first membrane mode of a circular plate correlates with the knee frequency in the shock response spectrum. Higher order membrane modes can cause the SRS to occur outside of the target band. Concave plates decrease the frequency band between first membrane mode and higher order membrane modes, while convex plates show the opposite effect. Using this theory, resonant plate cross section can be altered to tune resonant plate natural frequencies in order to achieve target SRS.

Publisher's Statement

© The Society for Experimental Mechanics, Inc. 2019. Publisher’s version of record: https://doi.org/10.1007/978-3-319-74700-2_43

Publication Title

Topics in Modal Analysis & Testing