# Application Gallery

The Application Gallery features COMSOL Multiphysics tutorial and demo app files pertinent to the electrical, mechanical, fluid, and chemical disciplines. You can download ready-to-use tutorial models and demo apps with step-by-step instructions for how to create them yourself. The examples in the gallery serve as a great starting point for your own simulation work.

Use the Quick Search to find tutorials and apps relevant to your area of expertise. Log in or create a COMSOL Access account that is associated with a valid COMSOL license to download the MPH-files.

### Shape Optimization of a Tuning Fork

When a tuning fork is struck, it vibrates in a complex motion pattern that can be described mathematically as the superposition of resonant modes, also known as eigenmodes. Each mode is associated with a particular eigenfrequency. The tuning fork produces its characteristic sound from the specific timbre that is created by the combination of all of the eigenfrequencies. The Tuning Fork app ...

### Mooney-Rivlin Curve Fit

This presentation shows how to use the Optimization Module to fit a material model curve to experimental data. It is based on the hyperelastic Mooney-Rivlin material model example given in the Structural Mechanics users guide.

### Topology Optimization of an MBB Beam

A demonstration of topology optimization using the Structural Mechanics Module and the Optimization Module. Three classical models are shown, the loaded knee, the Michell truss structure, and MBB beam. The optimization method is based on using the SIMPS approach to recast the original combinatorial optimization problem into a continuous optimization problem.

### Multistudy Optimization of a Bracket

In this shape optimization example, the mass of a bracket is minimized by changing the size and position of a number of geometrical objects. The requirements give limits both on the lowest natural frequency, and on the maximum stress in a static load case. This means that results from two different study types must be used as constraints in the optimization problem. For the stress constraint, a ...

### Optimizing a Thermal Process

A thermal processing scenario is modeled whereby two heaters raise the temperature of a gas flowing through a channel. The Optimization Module is used to find the heater power to maximize the outflow temperature, while maintaining a constraint on the peak temperature at the heaters themselves.

### Topology Optimization of a Loaded Knee Structure

Imagine that you are designing a light-weight mountain bike frame that should fit in a box of a certain size and should weigh no more than 8 kg. Given that you know the loads on the bike, you can achieve this by distributing the available material while making sure that the stiffness of the frame is at a maximum. This way you have formulated the topology optimization of the frame as a material ...

### Shape Optimization of a Tweeter Waveguide

This application illustrates how to use COMSOL’s optimization capabilities to automatically develop novel designs satisfying critical design constraints. The model optimizes a simple speaker geometry. Examples of constraints could include the radius of the loudspeaker or a desired minimum achievable sound-pressure level. To exemplify the optimization capabilities this application studies the ...

### Time-Dependent Optimization

This tutorial demonstrates how to compute the periodic steady-state solution of a nonlinear model problem using an optimization solver. The solver modifies the initial conditions at the beginning of a period to match the solution at the end of the period. The model solves much faster using this combination of optimization and time dependent solver compared to when using the time dependent ...

### Minimizing the Flow Velocity in a Microchannel

Topology optimization of the Navier-Stokes equations is encountered in different branches and applications, such as in the design of ventilation systems for cars. A common technique applicable to such problems is to let the distribution of porous material vary continuously. In this model, the objective is to find the optimal distribution of a porous material in a microchannel such that the ...

### Optimizing a Flywheel Profile

The radial stress component in an axially symmetric and homogeneous flywheel of constant thickness exhibits a sharp peak near the inner radius. From there, it decreases monotonously until it reaches zero at the flywheel’s outer rim. The uneven stress distribution reveals a design that does not make optimal use of the material available. Given specified flywheel mass and moment of inertia, ...

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