On three-dimensional dynamics of smart rotating micro-disks

In this paper, three-dimensional (3D) dynamic analysis of a rotational smart piezomagnetic-flexomagnetic (PFM) multi-functional micro-disk has been investigated. In the mathematical modeling, an attempt has been made to develop a wide range of factors influencing the analyzed structure, which is intended to be used as a micro-sensor/actuator. The investigated smart micro-disk could have many sensitive and accurate applications, especially in the aerospace industry. The geometry is assumed to be an annular microscale structure. Flexomagnetic property, observable on the small scale, has been considered for the material of the analyzed disk, and is one of the principal factors influencing the present research. Due to the angular rotation of the annular micro-disk, it is possible to control the sensing process in delicate conditions, particularly in environments influenced by microgravity. A comprehensive dynamic simulation is performed according to the 3D elasticity, then the governing equations of the smart micro-disk are extracted using the energy method. The effect of several parameters on the numerical results has been thoroughly examined. The deformation results, based on the piezo-flexomagnetic effect of the analyzed structure, have been obtained, enabling the design of precise sensors/actuators for advanced technological applications. The presented theoretical model offers a suitable approach for extending experimental tasks. It should be noted that the equations presented in this paper are original and can serve as a benchmark reference in this field. In conclusion, we found that there is a direct link between the rotational speed of the micro-disk and the surrounding magnetic field, and high angular velocities can impede the influence of the magnetic-induced mechanical load.