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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.

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 ...

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 ...

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.

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, ...

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 ...

Lithium-Ion Battery Impedance Application

The goal with this application is to explain experimental electrochemical impedance spectroscopy (EIS) measurements and to show how you can use a simulation app along with measurements to estimate the properties of lithium-ion batteries. The Lithium-Ion Battery Impedance app takes measurements from an EIS experiment and uses them as inputs. It then simulates these measurements and runs a ...

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 ...

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