Me330 lecture5

ME 330 Control Systems SP 2011 Lecture 5

Mechanical Systems ,[object Object],f(t) From the Laplace transform F(s) X(s) Often seen in block-diagram representation

Mechanical Systems Modeling ,[object Object],Free-Body Diagram Summation of forces Impedance Summation of impedances f(t) m m

Mechanical Components ,[object Object]

Mechanical Components ,[object Object],Note: rotational mechanics are analogous to translational mechanics force => torque damper => damper mass => inertia

Multiple Degrees of Freedom ,[object Object],[object Object]

Multiple Degrees of Freedom ,[object Object],m 1 m 2

Transfer Function ,[object Object],[object Object]

Equations by Inspection ,[object Object],[object Object],Sum of impedances connected to the motion at x 1 Sum of impedances between x 1 and x 2 X 1 (s) X 2 (s) – = Sum of applied forces at x 1 Sum of impedances connected to the motion at x 2 Sum of impedances between x 1 and x 2 X 2 (s) X 1 (s) – = Sum of applied forces at x 2 +

Torsion Mechanical Systems ,[object Object],Sum of impedances connected to the motion at  1 Sum of impedances between  1 and  2  1 (s)  2 (s) – = Sum of applied forces at  1 Sum of impedances between  1 and  3  3 (s) – Sum of impedances connected to the motion at  2 Sum of impedances between  1 and  2  2 (s)  1 (s) – = Sum of applied forces at  2 Sum of impedances between  2 and  3  3 (s) – + Sum of impedances connected to the motion at  3 Sum of impedances between  1 and  3  3 (s)  1 (s) – = Sum of applied forces at  3 Sum of impedances between  2 and  3  2 (s) – +

Torsion Mechanical Systems ,[object Object]

Next Lectures ,[object Object],[object Object]

Me330 lecture5

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