soln22 - Exercise: Mass-Spring-Damper System Given: A...

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1 Exercise: Mass-Spring-Damper System Given: A spring-mass-damper mechanical system with m 3 =0
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2 Exercise: Mass-Spring-Damper System Question: a) Derive the system dynamic equations. b) Apply Laplace Transform to the equations. c) Construct a block diagram of the entire system based on the system equations in (b).
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Exercise: Mass-Spring-Damper System Solution: a) Left Side of a Dynamic Equation : If displacement x i of a moving part has a mass m i , then the left side of its dynamic equation should be where S 1 is the sum of damper coefficients from those dampers that are connected to m i ; S 2 is the sum of spring constants from those springs that are connected to m i . If the mass of the moving part is negligible, then a zero mass m i =0 should be used in the derivation. Right Side of a Dynamic Equation : The right side of the above dynamic equation has the following terms: external force acting on m i (if any); j i (if x j is connected to m i via a damper
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This note was uploaded on 04/06/2010 for the course ME ME4209 taught by Professor Dr.f.y.kwan during the Spring '10 term at NYU Poly.

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soln22 - Exercise: Mass-Spring-Damper System Given: A...

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