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Thermal Initial Stresses in a Layered Plate

The thermal stress in a layered plate is studied in this example. A plate consisting of two layers, a coating and a substrate layer is stress and strain free at 800 degrees C. The temperature of the plate is reduced to 150 degrees C and thermal stresses are induced. A third layer, the carrier layer, is added and the thermal stresses in the coating and a substrate layer are added as an initial ...

Piezoelectric Rate Gyroscope

This model shows how to analyze a tuning fork based piezoelectric rate gyroscope. The direct piezoelectric effect is used to drive an in-plane tuning fork mode. This mode is coupled to an out of plane mode by the Coriolis force and the resulting out of plane motion is sensed by the reverse piezoelectric effect. The geometry of the tuning forks is designed so that the eigenfrequencies of the ...

Microresistor Beam

This example illustrates the ability to couple thermal, electrical, and structural analysis in one model. This particular application moves a beam by passing a current through it; the current generates heat, and the temperature increase leads to displacement through thermal expansion. The model estimates how much current and increase in temperature are necessary to displace the beam. Although ...

Thermoelastic Damping in a MEMS Resonator

Thermoelastic damping, which arises when you subject a material to cyclic stress, is an important factor when designing MEMS resonators. The stress brings about deformation, where materials heat under compressive stress and cool under tensile stress. Thus, due to the resulting heat flux, energy is lost to bring about this damping. The magnitude of the energy loss depends on the vibrational ...

Thermal Expansion in a MEMS Device

This model analyzes the thermal expansion in a MEMS device, such as a microgyroscope, where thermal expansion should be minimized. The device is made from the copper-beryllium alloy UNS C17500 and uses temperature-dependent material properties from the Material Library. The purpose of this model is to exemplify the use of the Material Library in COMSOL Multiphysics. This library contains more ...

Pull-in Voltage for a Biased Resonator-3D

An electrostatically actuated MEMS resonator is simulated in the time and frequency domains. The device is driven by an AC + DC bias voltage applied across a parallel plate capacitor. The dependence of the resonant frequency on DC bias is assessed, and frequency domain and transient analyses are performed to investigate the device performance.

Thin-Film BAW Composite Resonator

Bulk Acoustic Wave (BAW) resonators can be used as narrow band filters in radio-frequency applications. The chief advantage compared with traditional ceramic electromagnetic resonators is that BAW resonators, thanks to the acoustic wavelength being much smaller than the electromagnetic wavelength, can be made much smaller. In addition to the desired bulk acoustic mode, the resonator structure ...

Electromagnetic Force Calculation Using Virtual Work and Maxwell Stress Tensor

The model compare the electromagnetic force calculated by *virtual work* and *maxwell stress tensor* methods on the axial magntic bearing. The forces is evaluated by studying the effect of a small displacement on the electromagnetic energy of the system. This is done by using the *Magnetic Fields*, *Deformed Geometry* and *Sensitivity* physics interfaces.

Prestressed Micromirror

One method of creating spring-like structures or inducing curvature in thin structures is to plate them to substrates that are under the influence of residual stresses. The plating process can control this stress even for similar materials. One such device is the electrostatically controlled micromirror. It is typically quite small, and arrays of such devices can be implemented in projectors. ...

An Electrostrictive Disc

This tutorial shows how you can use the Electromechanics interface in COMSOL's MEMS Module to model Electrostriction. Electrostrictive materials (e.g. PMN-PT) exhibit nonlinear strain as a function of electric field. This 2D axisymmetry model uses a parametric sweep of voltage to exhibit the nonlinear mechanical response to a linear variation in the electrical input. Note that the ...