Shape Optimization of a Tuning Fork
Application ID: 8499
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 computes the fundamental resonant frequency of a tuning fork where you can change the prong length. Alternatively, you can provide a user-defined target frequency and the application will find the corresponding prong length using an algorithm based on a secant method.
This application is included as an example in the following products:Optimization Module
however additional products may be needed to reproduce it. This example may be created and run using components from the following product combinations:
The combination of COMSOL® products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. Particular functionality may be common to several products. To determine the right combination of products for your modeling needs, review the Specification Chart and make use of a free evaluation license. The COMSOL Sales and Support teams are available for answering any questions you may have regarding this.