The Application Gallery features COMSOL Multiphysics® tutorial and demo app files pertinent to the electrical, structural, acoustics, fluid, heat, and chemical disciplines. You can use these examples as a starting point for your own simulation work by downloading the tutorial model or demo app file and its accompanying instructions.
Search for tutorials and apps relevant to your area of expertise via the Quick Search feature. Note that many of the examples featured here can also be accessed via the Application Libraries that are built into the COMSOL Multiphysics® software and available from the File menu.
This example shows how to set up a piezoelectric transducer problem following the work of Y. Kagawa and T. Yamabuchi. The composite piezoelectric ultrasonic transducer has a cylindrical geometry that consists of a piezoceramic layer, two aluminum layers, and two adhesive layers. The ... Read More
The tonpilz (sound mushroom) piezoelectric transducer is a transducer for relatively low frequency, high power sound emission. The transducer consists of piezoceramic rings stacked between massive ends and pre-stressed by a central bolt. The tail and head mass lower the resonance ... Read More
This model shows how to analyze a simple, cantilever based, piezoelectric energy harvester. A sinusoidal acceleration is applied to the energy harvester and the output power is evaluated as a function of frequency, load impedance and acceleration magnitude. Read More
Ultrasonic flowmeters determine the velocity of a fluid flowing through a pipe by sending an ultrasonic signal across the flow at a skew angle. When there is no flow, the transmitting time between the transmitter and the receiver is the same for the signals sent in the upstream and ... Read More
This model shows how to analyze a tuning fork based piezoelectric rate gyroscope. The reverse 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 ... Read More
Many piezoelectric materials are ferroelectric. Ferroelectric materials exhibit nonlinear polarization behavior, such as hysteresis and saturation at large applied electric fields. In addition, the polarization and mechanical deformations in such materials can be strongly coupled due to ... Read More
This model analyzes a piezoelectric microelectromechanical system (MEMS) speaker. The speaker, composed of four triangular membranes, uses a layer of lead zirconate titanate (PZT) material with two electrodes on top of a silicon layer as actuators. The triangular membranes are separated ... Read More
This 2D axisymmetric model demonstrates the operation of a pyroelectric detector found in instruments for measuring laser energy. A disk of lithium niobate (LiNbO3) is sandwiched between two electrodes and connected to an external circuit. The disk is mounted on a ring-shaped ... Read More
A solidly-mounted resonator (SMR) is a piezoelectric MEMS resonator formed on top of an acoustic mirror stack deposited on a thick substrate. This tutorial shows how to simulate an SMR in 2D. In this example, the eigenmodes were computed and the frequency response from 500 to 1200 MHz ... Read More
This tutorial model presents a study of a coaxial DC corona discharge in dry air at atmospheric pressure. The dimensions and operation conditions are similar to ones found in electrostatic precipitators with wire-to-plate configurations. The inner wire electrode has a 100-mm radius and ... Read More