Inverse force estimation for resonant shock plate application

Document Type

Conference Proceeding

Publication Date



Department of Mechanical Engineering-Engineering Mechanics


Resonant shock plate testing uses a projectile and programmer material to deliver and tune an impulsive force. Typically, the force level is too high to directly measure with conventional force sensors, so the spectral and temporal characteristics of these forces are not well understood. Non-linear simulations of the projectile, programmer, shock plate, and fixture are currently used to predict the results and design a resonant shock plate. A linear model of the resonant shock plate and fixture could be used if a reasonable representation of the applied force was known.

This paper explores the use of inverse force estimation to estimate the spectral content of the force applied from the projectile through the programmer material. The process involves de-convolving the resonant plate response and the impulse response of the resonant plate/fixture system. A spectral representation of the force can be obtained by dividing the linear spectrum of the resonant plate/fixture response and its frequency response function.

Publisher's Statement

© The Society for Experimental Mechanics, Inc. 2019. Publisher’s version of record:

Publication Title

Topics in Modal Analysis & Testing