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.