Lumped parameter modelling and methodology for extraction of model parameters for an electrodynamic shaker

TLDR

Shakers are widely used to simulate vibrations in research and product testing, with electrodynamic shakers being the most versatile, yet integrated electro‑mechanical modelling remains limited. The study aims to develop a mobility‑based lumped‑parameter model of an electrodynamic shaker and a non‑destructive method for measuring its electrical and mechanical parameters. The authors performed impedance and transfer‑function measurements of the shaker table and used the data to extract model parameters. The model was experimentally validated and accurately predicted shaker responses under both loaded and unloaded conditions.

Abstract

Shakers are widely used to simulate the vibrations for academic research, as well as for product testing. Thus, there is a significant necessity to study them in detail. Amongst the different types of shakers being used, the electrodynamic shaker is by far the most versatile. However, limited work has been done with regard to their integrated electro-mechanical modelling. In this work, we have developed a mobility-based lumped parameter model of an electrodynamic shaker and also a method to measure its various electrical and mechanical parameters using non-destructive and easy to use methods. Towards meeting the latter goal, we conducted experiments to determine the shaker table’s impedance and transfer functions, and used these data for subsequent parameter extraction. Such a model was later validated experimentally. Finally, we predicted the response of the shaker under loaded and unloaded conditions, and confirmed their validity through actual experimental data.