Vibrating Strings and Drumheads, Bessel Functions
- Modes of a Vibrating String
This has some animations showing how the frequency of vibration increases as the wavelength decreases.
- Bessel Functions of the First Kind
Graphs of Bessel functions of the first kind, of orders 0, 1, 2, 3, ...
- Bessel Functions of the Second Kind
Graphs of Bessel functions of the second kind, of orders 0, 1, 2, 3, ...
- Bessel Functions of the First Kind, Order Zero
Shows three graphs of the cross sections of the first three solutions for the vibration of a drumhead, with radially symmetric initial conditions. These are the Bessel functions of the first kind, order zero with one, two and three nodes.
- Radially Symmetric Modes of a Vibrating Drumhead
The first three animations show the first three solutions for a vibrating drumhead with radially symmetric initial conditions.
- Bessel Functions of the First Kind, First Order
Shows three graphs of the cross sections for the first three solutions to the vibration of a drumhead corresponding to the Bessel functions of the first kind, order one with one, two and three nodes.
- Bessel Functions of the First Kind, Second Order
Shows three graphs of the cross sections for the first three solutions to the vibration of a drumhead corresponding to the Bessel functions of the first kind, order two with one, two and three nodes.
- Nodal Diagram of a Drumhead
Shows a nodal diagram of the drumhead and circular and transverse cross-sections for m=3, n=2.
- Modes of a Vibrating Drumhead
Animations showing solutions for a vibrating drumhead.
- Modes of a Vibrating Drumhead
More animations.
- Modes of a Vibrating Drumhead
And yet more animations!
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