{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# pset4 - voltage Assume the following numerical values for...

This preview shows pages 1–2. Sign up to view the full content.

ME3015 PROBLEM SET #4 (25 points). Document as outlined in the course admin letter. Due: The beginning of Lesson 13 (October 5 th ). 1. (8 points) Derive the transfer function of the electrical system ) ( / ) ( s E s E i O shown below. Draw a schematic diagram of an analogous mechanical system. 2. (8 points) Obtain an electrical system analogous to the mechanical system shown below where f (t) is the force input to the mass 1. The displacements x 1 and x 2 are measured from their static equilibrium points. 3. (9 points) Obtain the transfer function ) ( / ) ( 2 s E s a of the electromechanical system with a DC servomotor where ) ( ) ( 2 2 t s L (load shaft position) and ) ( ) ( t e s E a a L (input voltage). Assume the following numerical values for the constants.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: voltage). Assume the following numerical values for the constants. (see back page for the figure) R a : Armature resistance = 0.2 L a : Armature inductance = negligible K b : Back-EMF constant = 5.5 x 10-2 V-s/rad K : Motor-torque constant = 6 x 10-5 N-m/A b L : Viscous coefficient between output shaft and bearing = 4 x 10-2 N-m-s/rad b r : Viscous coefficient between armature and bearing = negligible J r : Moment of inertia of motor = 1 x 10-5 kg-m 2 J L : Moment of inertia of the load = 4.4 x 10-3 kg-m 2 n : Gear ratio = N 1 / N 2 = 0.1 e i ( t ) e o ( t ) R 1 R 2 C 1 C 2 k 1 x 1 b f(t) x 2 m 1 m 2 k 2 k 3...
View Full Document

{[ snackBarMessage ]}