Abstract
For the problem of relatively severe lateral vibration found in the vertical electrodynamic shaker experiment, an electromechanical coupling dynamic model of the electrodynamic shaker considering low-frequency lateral vibration is proposed. The reason and mechanism of the lateral vibration is explained and analyzed through this model. To establish this model, an electromagnetic force model of overall conditions is firstly built by fitting force samples with neural network method. The force samples are obtained by orthogonal test of finite element simulation, in which five factors of the moving coil including current, vertical position, flipping eccentricity angle, radial translational eccentric direction and distance are considered. Secondly, a 7-dof dynamic model of the electrodynamic shaker is developed with the consideration of the lateral vibration of the moving system. To obtain the transfer function accurately, the stiffness and damping parameters are identified. Finally, an electromechanical dynamic model is established by coupling the force model and the 7-dof dynamic model, and it is verified by experiments. The coupling model proposed can be further used for the control and optimization of the electrodynamic shaker.
Highlights
Electrodynamic shaker is an important tool for durability testing and vibration reproduction of mechanical products
The conclusions can be drawn as follows: (1) Severe lateral vibration is discovered at some frequencies, which is corresponding to the moving system’s flipping mode and horizon translation mode
The equivalent electromagnetic force can be calculated in real time when the moving coil moves, which lays the foundation of two-way coupling between the electromagnetic force and moving conditions
Summary
Electrodynamic shaker is an important tool for durability testing and vibration reproduction of mechanical products. Equivalent model of electromagnetic force considering moving coil eccentricity From the analysis of electromagnetic mechanism of the electrodynamic shaker, it is known that the magnetic density distribution is not uniform in the working air gap, and its direction is not perpendicular to the magnetic pole everywhere. According to the structure of the actual electrodynamic shaker, five factors including moving coil current I, vertical position z, flipping angle a, radial translational eccentric direction u and distance d are selected as variables, and an electromagnetic finite element model is established in JMAG. According to 81 orthogonal simulation tests, the equivalent electromagnetic forces fx, fy, fz, and torques tx, ty, tz on the moving coil are given
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