Coupled Oscillator: Coupled Mass-Spring System with Input: Difference between revisions
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<math>k_2 = 80000 \frac{N}{m}</math> |
<math>k_2 = 80000 \frac{N}{m}</math> |
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Let the initial conditions be zero for the time being. |
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==Force Equations== |
==Force Equations== |
Revision as of 17:24, 18 November 2009
Setup State Space Equation
Problem Statement
Find an input function such that the lower mass, , is stationary in the steady state. Find the equation of motion for the upper mass, .
The use of one spring between the masses is just a simplification of a multi-spring system, so the possibility of being off-kilter is neglected and just the vertical forces are considered.
Initial Conditions and Values
Let the initial conditions be zero for the time being.