timeresponse13 - Time Response QUESTION 13 For the system...

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

View Full Document Right Arrow Icon
Time Response Q UESTION 13 For the system shown in Figure 13, determine the transfer function ( 29 ( 29 2 s s Θ Τ . For J = 2 kg·m 2 , B = 2 N·m/(rad/s), and K = 2 N·m/rad, determine the system’s percent overshoot, settling time, and peak time. J B K τ (t) θ 1 (t) θ 2 (t) Figure 13 Summing the torques applied to the mass ( 29 ( 29 ( 29 ( 29 1 2 1 J t t B t t θ τ = + - (1) The point between the damper and the spring is free to rotate with an angular displacement of θ 2 . Inserting a mass of zero at this point and summing the torques applied to this mass ( 29 ( 29 ( 29 2 1 2 0 B t t K t - - = (2) Taking the Laplace Transforms of equations (1) and (2), respectively, and assuming zero initial conditions ( 29 ( 29 ( 29 ( 29 2 1 2 1 Js s s Bs s s Θ = Τ + Θ - Θ (3) ( 29 ( 29 ( 29 ( 29 1 2 2 0 Bs s s K s - - = (4) Combining equations (3) and (4), the transfer function is
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

timeresponse13 - Time Response QUESTION 13 For the system...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online