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ME 563
HOMEWORK # 9
Fall 2008
PROBLEM 1:
(50%)
Given the following set of equations for a vibrating system with translational and rotational degrees of
freedom,
⎭
⎬
⎫
⎩
⎨
⎧
=
⎭
⎬
⎫
⎩
⎨
⎧
⎥
⎦
⎤
⎢
⎣
⎡
−
−
+
⎭
⎬
⎫
⎩
⎨
⎧
⎥
⎦
⎤
⎢
⎣
⎡
−
−
+
⎭
⎬
⎫
⎩
⎨
⎧
⎥
⎦
⎤
⎢
⎣
⎡
)
(
)
(
2
2
2
4
2
.
0
2
.
0
2
.
0
4
.
0
2
0
0
1
t
t
f
y
y
y
τ
θ
θ
θ
&
&
&
&
&
&
find the analytical expressions for the modal frequency response functions of the system.
What
combination of forcing functions should be chosen to only excite mode #1?
What about for mode #2?
PROBLEM 2:
(50%)
Assume you are designing a vibration isolation system for a machine tool.
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- Fall '09
- Machine tool, modal frequency response
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