SolSec3_5 - 3- 54Problems and Solutions Section 3.5 (3.39...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: 3- 54Problems and Solutions Section 3.5 (3.39 through 3.42) 3.39Calculate the mean-square response of a system to an input force of constant PSD, S, and frequency response function H!( )=103+2j!( )Solution: Given: Sff=Sand H!( )=103+2j!The mean square of the response can be found from Eqs (3.66) and (3.68): x2=E x2!"#$=%&&H(( )2Sff(( )d(x2=S%&&103+2j(2d(Using Eq. (3.67) yields x2=50!S33- 553.40Consider the base excitation problem of Section 2.4 as applied to an automobile model of Example 2.4.1 and illustrated in Figure 2.16. In this problem let the road have a random stationary cross section producing a PSD of S. Calculate the PSD of the response and the mean-square value of the response. Solution: Given: Sff=SFrom example 2.4.1: m=1007 kg, c=2000 kg/s, k=40,000 N/m!=c2km=20002 40000i1007=0.157 (underdamped)So, H!( )=1k"m!2+jc!=14#104"1007!2+2000j!H!( )2=14#104"1007!2( )2+2000( )2j!...
View Full Document

This note was uploaded on 03/31/2009 for the course MECHANICAL MAE351 taught by Professor J.g.lee during the Spring '09 term at Korea Advanced Institute of Science and Technology.

Page1 / 3

SolSec3_5 - 3- 54Problems and Solutions Section 3.5 (3.39...

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