{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

SolSec 4.6 - Problems and Solutions for Section 4.6(4.61...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Problems and Solutions for Section 4.6 (4.61 through 4.67) 4.61 Calculate the response of the system of Figure 4.16 discussed in Example 4.6.1 if F 1 ( t ) = δ ( t ) and the initial conditions are set to zero. This might correspond to a two-degree-of-freedom model of a car hitting a bump. Solution: From example 4.6.1, with F 1 ( t ) = δ ( t ), the modal equations are ) ( 7071 . 4 4 . ) ( 7071 . 2 2 . 2 2 2 1 1 1 t r r r t r r r δ δ = + + = + + & & & & & & Also from the example, rad/s 9899 . 1 1 . rad/s 2 rad/s 4106 . 1 07071 . rad/s 2 d2 2 2 d1 1 1 = = = = = = ω ζ ω ω ζ ω n n The solution to an impulse is given by equations (3.7) and (3.8): t e m F t r di t di i i ni i ω ω ω ζ sin ˆ ) ( = This yields r ( ) . sin . . sin . . . t e t e t t t = 5013 1 4106 3553 1 9899 1 2 The solution in physical coordinates is x r x ( ) ( ) . . . . . sin . . sin . ( ) . sin . . sin . . sin . . sin . / . . . . . . t M P t e t e t t e t e t e t e t t t t t t = = = + 1 2 1 2 1 2 1 2 2357 2357 7071 7071 5013 1 4106 3553 1 9899 1182 1 4106 08374 1 9899 3544 1 4106 2512 1 9899 9899 t
Background image of page 1

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

View Full Document Right Arrow Icon