ENME361 Quiz 12 Solution

# ENME361 Quiz 12 Solution - ENME 361 Fall 2008 Solution for...

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

ENME 361 Fall 2008 Solution for Quiz #12 (December 4, 2008; Duration: 20 minutes) 1. Consider the spring-mass-damper prototype shown in the figure below. Given that the forced response of a linear, underdamped vibratory system can be determined from find the response of the system for the impulse forcing . Solution : By using the given response for x ( t ), we get the response for the given forcing f ( t ) as () 00 0 0 0 2 2 0 11 ( ) sin( ) ( ) sin( [ ]) ( ) sin( [ ]) ( ) sin( [ ]) ( ) n n n n tt t dd t t d d t t d d x te f t d e t f d mm f et t d m f t d m ζω η ζω η ω ηη ωω ωη δ −− =− = +− ∫∫ 0 2 0 2 22 sin( [ ]) ( ) sin( [ ]) ( ) n n f f e tt u e . 2. The governing equations of a two-degree-of-freedom system undergoing rotational motions are given by the following: 1 1 2 2 10 1 0 01 1 0 KK θ ⎧⎫ ⎡⎤ += ⎬⎨ ⎢⎥ −+ ⎣⎦ ⎩⎭ ±± Determine the system natural frequencies and mode shapes.

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.

## This note was uploaded on 02/13/2011 for the course ENME 361 taught by Professor Yoo during the Spring '11 term at Maryland.

### Page1 / 3

ENME361 Quiz 12 Solution - ENME 361 Fall 2008 Solution for...

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

View Full Document
Ask a homework question - tutors are online