Coupled Oscillator: Coupled Mass-Spring System with Input: Difference between revisions
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New page: =Setup State Space Equation= ==Problem Statement== Find an input function such that the lower mass, <math>m_1</math>, is stationary in the steady state. Find the equation of motion for t... |
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==Problem Statement== | ==Problem Statement== | ||
Find an input function such that the lower mass, <math>m_1</math>, is stationary in the steady state. Find the equation of motion for the upper mass, <math>m_2</math>. | Find an input function such that the lower mass, <math>m_1</math>, is stationary in the steady state. Find the equation of motion for the upper mass, <math>m_2</math>. | ||
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== | ==Initial Conditions and Values== | ||
Revision as of 21:52, 17 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.