me304_hw3_sol - MIDDLE EAST TECHNICAL UNIVERSITY MECHANICAL...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
ME304/Spring 2005/Sections 02+03+04/HW3Solutions Page 1 / 5 SOLUTIONS TO HOMEWORK 3 for Sections 02, 03 & 04 Prepared by Gökhan BAYAR (C-204), Atilla BAYRAM (A-148), Erdinç İ Y AY (C-209) Problem 1 Inputs : Q 1 (t) for tank 1, Q 3 (t) and Q 2 (t) for tank 2 Outputs : Q 3 (t) for tank 1, Q 4 (t) for tank 2 MIDDLE EAST TECHNICAL UNIVERSITY MECHANICAL ENGINEERING DEPARTMENT ME 304 CONTROL SYSTEMS SPRING 2005 R 3 Q 3 (t) Q 1 (t) Gear Pump g P a =0 Q 2 (t) Q 4 (t) R 4 Lossless long pipe P T1 (t P 3 (t) P a =0 P T2 (t P 4 (t) P p (t) P l (t) C 1 C 2
Background image of page 1

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

View Full DocumentRight Arrow Icon
ME304/Spring 2005/Sections 02+03+04/HW3Solutions Page 2 / 5 Tank 1 : Tank : ) ( ) ( )) ( ) ( ( 3 1 1 1 t Q t Q t P t P dt d C a T = ……………………. ..…………………….…. .(1) Valve : ) ( ) ( ) ( 3 3 3 t Q R t P t P a = ……………………………………………. ..….………….(2) Pipe : dt t dQ I t RQ s P s P T ) ( ) ( ) ( ) ( 3 3 3 1 + = ………………………………………………. .(3) Taking Laplace transform of these equations assuming zero initial conditions and noting that 0 = a P , ) ( ) ( ) ( 3 1 1 1 s Q s Q s sP C T = …………………………………………………. .………………(4)
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/16/2011 for the course ME 304 taught by Professor Samim during the Spring '11 term at Middle East Technical University.

Page1 / 5

me304_hw3_sol - MIDDLE EAST TECHNICAL UNIVERSITY MECHANICAL...

This preview shows document pages 1 - 3. Sign up to view the full document.

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