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Unformatted text preview: Modeling Q UESTION 15 For the system shown in Figure 15, set up the equations in matrix form that would allow you to determine the transfer function ( 29 ( 29 L s s . Assume the gears are massless. r 1 r 2 J 1 B K L (t) J L (t) r 4 r 3 B L Figure 15 The Free Body Diagrams are given in Figure 15.1 below and the gears with radii r 2 and r 3 rotate with angular positions 2 and 3 , respectively. Note that the schematic between the damper and the spring is free to rotate at a unique angular position, which is denoted . To analyze this portion, a rotational mass with inertia J = 0 is inserted. For the gear set on the left the following relationship holds 1 1 2 2 2 1 r r = = where 1 and 2 are the torques acting on the gears with radii r 1 and r 2 , respectively. For the gear set on the right the following relationships hold 3 3 4 4 3 L r r = = where 3 and 4 are the torques acting on the gears with radii r 3 and r 4 , respectively. Summing the , respectively....
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This note was uploaded on 02/01/2012 for the course MECH ENG 279 taught by Professor Landers during the Spring '11 term at Missouri S&T.
- Spring '11