University of Turkish Aeronautical Association  Merkez Campus
Vibrations
UTAA MEC 502

Spring 2016
MEC 502
Linear and Dynamic System Vibrations
Homework 3
Due Date: 28.03.2016
1. For the springmassdamper system shown below, x is measured from the static
equilibrium position, and the surface is frictionless.
a) Determine the governing equations of mot
University of Turkish Aeronautical Association  Merkez Campus
Vibrations
UTAA MEC 502

Spring 2016
MEC 502
Linear and Dynamic System Vibrations
Homework 7 Solution
Consider the 2DOF viscously damped system given in the figure. There is a forcing on m1 as
F1 (t) = 10 sin(t) N where = 32 rad/s.
m1=m2 = 5 kg, k1 = 5000 N/m, k2 = 10000 N/m, k3 = 4000 N/m,
University of Turkish Aeronautical Association  Merkez Campus
Vibrations
UTAA MEC 502

Spring 2016
MEC 502
Linear and Dynamic System Vibrations
Homework 4
Due Date: 11.04.2016
1. A 100 kg machine is to be mounted on ground by using shock mounts which can be modeled
as a stiffness and damping as shown in the figure. The total stiffness and damping prope
University of Turkish Aeronautical Association  Merkez Campus
Missile Design
UTAA AST 451

Spring 2016
1
HW 14316 Loris Gravinese Bartoli
1) Calculate the radar seeker detection range. Given data:
= 1m2
PT = 100W
c = 3 108 m
s
f = 35 109 Hz
d = 4in = 0, 102m
J
k = 1, 38 1023 K
n = 100
.
The main assumptions here are that the radar is noncoherent,
University of Turkish Aeronautical Association  Merkez Campus
Missile Design
UTAA AST 451

Spring 2016
1
HW2 1416 Loris Gravinese Bartoli
1) Using the International Standard Atmosferic Model or the US Model we can
assume the following:
T0 = 390 R
p0 = 1, 047 psi
a0 = 968 ft/s
its worth mentioning that we can have the same values by using the empirical
University of Turkish Aeronautical Association  Merkez Campus
Vibrations
UTAA MEC 502

Spring 2016
MEC 502
Linear and Dynamic System Vibrations
Homework 1 Solution
F = keq ( L ) = keq x
FBD is obtained as:
M
0
= 0
L L
L L
2L 2L 10kL2
FL = k ( ) + k ( ) + 2k ( )
=
3 3
3 3
3
3
9
FL = keq ( L ) L = keq ( L2 )
keq =
10k
9