VibsAndWavs

Gaussian initial conditions on a one-dimensional string. The evolution of the wave is numerically calculated using the wave equation. In this movie you can see the waves reflect off the ends of the string. 

Home-made oscillator.

Illustration of group and phase velocity. 

Time evolution of a Gaussian displacement to a string. 

Mode shapes of a square membrane (n1 = 2, n2 = 2). 

Bheeshmon and Matt. Normal modes of a plate. 

Solution of the 1D wave equation with a triangular wave initial condition. 

Successive approximations to a square wave using a Fourier Series. 

Numerical solution of the one dimensional wave equation with a superposition of two sin waves as the initial conditions. 

The motion of a spring pendulum of length 0.25 cm. At t=0 the spring was stretched by 0.10 cm from the equilibrium position.   

The superposition of two Gaussian wave pulses on a string. The response was calculated from the one-dimensional wave equation.