In this paper, a novel method has been developed to control the pull-in voltage of the fixedfixed and cantilever MEM actuators and measure the residual stress in the fixed-fixed model using of the piezoelectric layers that have been located on the upper and lower surfaces of actuator. In the developed model, the tensile or compressive residual stresses, fringingfield and axial stress effects in the fixed-fixed end type micro-electro-mechanical systems actuator have been considered. The non-linear governing differential equations of the MEM actuators have been derived by considering the piezoelectric layers and mentioned effects. The results show that due to different applied voltage to the piezoelectric layers, the pull-in voltage can be controlled and in the fixed-fixed type the unknown value of the residual stress can be obtained.
Circular micro plates are used in the many Microelectromechanical devices as micropumps and micro pressure sensors. All such systems exhibit a static instability phenomenon (Divergence) which is known as the ''pull-in'' instability. In this paper a distributed model was used to investigate the pull-in instability of a circular micro plate subjected to non-uniform electrostatic pressure and uniform hydrostatic pressure. The non-linear governing equation was derived and in order to linearize the obtained governing equations, step by step linearization method was used, then the linear system of equation was solved by finite difference method. The obtained results for only electrostatic actuation were compared with the existing results and good agreement has been achieved. There are exist two method of actuation. The pull-in voltages for these two actuation mechanism were investigated and the obtained results exhibited different effects on each actuation mechanism.
Mathematical modeling of the grape drying process is important in understanding the transport phenomena involved in the production and processing of dried grapes. Drying models proposed in the literature have simplifying assumptions, and thus ignore important phenomena such as shrinkage and changes in transport properties which occur during the drying process. Consequently, a mathematical model is developed for the seedless grape drying process, which considers the effects neglected in previous models. Since an analytic solution to this nonlinear model is impossible, the generalized differential quadrature method is used to solve the models' equations. The model is validated with experimental data obtained from a laboratory scale convective tray dryer operating at 50-70°C and an air velocity of 1.5 m/s. Model predictions are in close agreement with experimental data due to the inclusion in the model of shrinkage and variation in moisture diffusivity. Model results can serve as a framework to improve the performance of existing and novel dryers, and also in the design of process simulators for dryers.
In this paper the electromechanical behavior of a torsional micromirror was investigated using of a static model with considering torsion and bending characteristics of micro-beams. A set of nonlinear equations based on the parallel plate capacitor model was derived to represent the relationships between the applied voltage, torsion angle, and vertical displacement of the torsional micromirror.Step by step linearization method (Newton's method) was used to calculate the rotation angle and vertical displacement of the micromirror due to the applied voltage. This method is fast and gave acceptable and accurate results which were in good agreement with the experimental data.
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