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A gasket that seals fuel reservoirs for the space shuttle can be modeled by the following differential Equation:
m*d^2y/dt^2 + h*dy/dt + Ky = u
u is input force coming from external vibrations during flight
m=10000 kg is the inertia of the reservoir+gasket system
K=250N/m is the elasticity of the gasket material
y is position of system
h depends linearly on the ambient temperature
h(T)= 0.09+0.0025T
Where T is the external temperature in fahrenheit degrees.
During takeoff, the reservoirs undergo strong vibrations that can be modeled as sinusoidal inputs
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