- #1
cstoos
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I was wondering about something, and after a quick search through the forums didn't provide an answer I figured I would ask.
So in modeling a spring-mass-damper system, if you have a spring and damper in series, how do you represent that? Do you have to introduce another variable, say y, at a point between the spring and damper?
I am attaching a (crude) drawing of a system that I just made up. If I were to model it like this, would that be correct?
M[tex]\ddot{x}[/tex] - b[tex]\dot{y}[/tex] - k1(x-y)-k2x = 0
It seems right, but this would make it impossible to solve, since y would be considered an independent variable. Should I place and arbitrary mass at y so that I can have two DEs?
(P.S. I couldn't get the subscripts to work properly.)
So in modeling a spring-mass-damper system, if you have a spring and damper in series, how do you represent that? Do you have to introduce another variable, say y, at a point between the spring and damper?
I am attaching a (crude) drawing of a system that I just made up. If I were to model it like this, would that be correct?
M[tex]\ddot{x}[/tex] - b[tex]\dot{y}[/tex] - k1(x-y)-k2x = 0
It seems right, but this would make it impossible to solve, since y would be considered an independent variable. Should I place and arbitrary mass at y so that I can have two DEs?
(P.S. I couldn't get the subscripts to work properly.)
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