Oscillator Chain Resonance

The Oscillator Chain Resonance model displays the total mechanical energy as a function of frequency in a chain of coupled oscillators. The chain is driven at one end  by a sinusoidal force Fdrive =sin(ωt) and the total energy is measured after skipping a large number of drive cycles to allow the system to reach steady state. Particles are also subject to  a small damping force FStokes= - bv to remove transients and to limit the amplitude of the oscillation.

For a simple one-dimensional Hooke's Law model with spring constant k, the kinetic energy of the i-th particle is Ki= (1/2)Mvi2 and potential energy of each spring is Ui= (1/2) kΔyi2. The total energy E = U + K for a lattice of N molecules is the sum of these energies.

Note that the first particle (i=0) is not used when computing energy because its motion is not governed by Newton's second law.

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This simulation was created by Wolfgang Christian using the Easy Java Simulations (Ejs) modeling tool. You can modify this simulation if you have Ejs installed by right-clicking within a plot and selecting "Open Ejs Model" from the pop-up menu. Information about Ejs is available at: <http://www.um.es/fem/Ejs/>.