ME 375
HOMEWORK #3
Spring 2009
Out:
January 28, 2009
Due:
February 4, 2009 (at the beginning of class)
PROBLEM 1:
(30%)
In Homework #2, Problem 3, you were asked to determine equations of motion for the following
system:
The resulting equations of motion, expressed using effective inertia, damping, and stiffness, can be
written as follows:
11
1
1
1
1
1
1 11
20
+
+−
=
++
−
=
±±
±
±
eff
eff
eff
JBKK
R
x
Mx Bx
Kx KR
θ
θθ
τ
where
22
2
12
3
1
23
21
2
=+
+
+
+
eff
r
eff
eff
RR
JJ
J
J
M
R
BC
C
C
KK
R
K
R
(a)
Express the equations of motion in matrix form, using
[ ]
T
x
as the coordinate vector.
(b)
Write an inputoutput equation for this system, with
1
as the input, and
x
1
as the output.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document2
PROBLEM 2
:
(40%)
(a)
Ogata, Prob. B222, p. 52.
(b)
Ogata, Prob. B224, p. 52.
PROBLEM 3:
(30%)
In Homework #1, Problem 2, you were asked to derive equations of motion for a pile driver.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '10
 Meckle
 Equations, SEPTA Regional Rail, 1 M, K1 x1, K1 R12

Click to edit the document details