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

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.

A New Electromechanical Analogy Approach Based on Electrostatic Coupling for Vertical Dynamic Analysis of Planar Vehicle Models

“…In this multidomain problem, the mechanical system is replaced by its electrical equivalent and joined to the electrical one. In this way a unique electrical system is studied [14], [15]. De Silva [16] proposed the use of linear graphs for modeling multi-domain systems in a unified way, thus allowing to exploit the existing analogies across domains.…”

Wave-based planar motion and vibration control of under-actuated mass-spring arrays

“…The lumped flexible array can be considered a benchmark challenge for 2D flexible system control strategies in general as its sample applications can be well found in Gohari et al 18 and Tiwari et al 19 But it can also be considered a generic model of various systems of engineering interest. Thus, by choosing suitable mass and spring values, and grid shapes, it is possible to model, for example, distributed plates and beams of specific elastic constants, 19,20 or predominantly lumped devices ranging from micro-electromechanical devices, micro-surgical tools through manipulators and robot arms, up to heavy-duty cranes and large space structures. 21 In the 1D rectilinear case, with a simple string of masses and springs, 8 the displacement waves have a single, two-way path, from actuator to system tip and back again, which somewhat limits the dispersion (although some dispersion is always present).…”

“…18 and Tiwari et al. 19 But it can also be considered a generic model of various systems of engineering interest. Thus, by choosing suitable mass and spring values, and grid shapes, it is possible to model, for example, distributed plates and beams of specific elastic constants, 19 , 20 or predominantly lumped devices ranging from micro-electromechanical devices, micro-surgical tools through manipulators and robot arms, up to heavy-duty cranes and large space structures.…”

Electromechanical coupling dynamic modeling and analysis of vertical electrodynamic shaker considering low frequency lateral vibration

“…The high-frequency test method was then used to identify the electromagnetic force coefficient. Tiwari et al 13 constructed a vertical dynamic model and identified the modal parameters by fitting the transfer function to the experimental result. In the current researches, the parameters are often simplified and identified by polynomial fitting.…”

“…As an important factor affecting the lateral vibration, the electromagnetic force of the electrodynamic shaker must be calculated properly in the working condition. Most scholars 11–14 simulate the current of the moving coil through RLC equivalent circuit without considering the air gap magnetic field distribution. The vertical electromagnetic force is estimated by Bli , where the electromagnetic force Bl is assumed to be constant.…”