Thomson, T., Theory of Vibration with Application, 4th ed., Prentice-Hall., New Jersey, 1993.
Thomson, T., Theory of Vibration with Application, 4th ed., Prentice-Hall., New Jersey, 1993.
Thomson, T., Theory of Vibration with Application, 4th ed., Prentic
215323 Aircraft Vibration
Videos
Second Semester, 2014(2557)
1
2
The Millennium Bridge a Recent Vibration Problem
(2000-1)
Full-scale Boeing 767 GVT
Aeroelastic wind tunnel model
GVT
Lack of consideration of dynamic loads and
Vibration caused this to new
Alternative methods for solving
differential equations
A variety methods for solving differential
equations
So far, we used the method of undetermined
coefficients, a geometric approach, a frequency
response approach,
Now we look at another alternative
Does gravity matter in spring
problems?
Let be the deflection caused by
hanging a mass on a spring
( = x1-x0 in the figure)
215323 Aircraft Vibration
Lecture 2
Then from static equilibrium:
mg = k
Next sum the forces in the vertical for some point x > x1
215323 Aircraft Vibration
Lecture 04
1
Modeling and Energy Methods
(revisited)
An alternative way to determine the
equation of motion and an alternative way
to calculate the natural frequency of a
system
Useful if the forces or torques acting on
the objec
Base Excitation
Important class of vibration analysis
Preventing excitations from passing
from a vibrating base through its mount
into a structure
Vibration isolation
Vibrations in your car
Satellite operation
Disk drives, etc.
215323: Aircraft Vibr
Harmonic Excitation of Undamped
Systems
Consider the usual spring mass damper system
with applied force F(t)=F0cost
is the driving frequency
F0 is the magnitude of the applied force
We take c = 0 to start with
215323: Aircraft Vibration
Lecture 06
Dis
2 Free Vibration
Any system possessing mass and
elasticity is capable of vibration.
215323 Aircraft Vibration
Lecture 3
What is interested in the system is its natural
frequency/frequencies.
1
The purpose of this chapter is know how
to write the equation
Things to note
Two degrees of freedom implies two natural
frequencies
Each mass oscillates at with these two
frequencies present in the response and
beats could result
215323: Aircraft Vibration
Lecture for Week12-13
Frequencies are not those of two co
Lagranges Equations
Defining work, energy and
virtual displacements and work
we will learn an alternate
method of deriving equations
of motion in terms of
215323: Aircraft Vibration
Lecture for Week14-15
Generalized coordinates
for this problem:
2 not 3!
Thomson, T., Theory of Vibration with Application, 4th ed., Prentice-Hall., New Jersey, 1993.
Thomson, T., Theory of Vibration with Application, 4th ed., Prentice-Hall., New Jersey, 1993.
Thomson, T., Theory of Vibration with Application, 4th ed., Prentic
Thomson, T., Theory of Vibration with Application, 4th ed., Prentice-Hall., New Jersey, 1993.
Thomson, T., Theory of Vibration with Application, 4th ed., Prentice-Hall., New Jersey, 1993.
Thomson, T., Theory of Vibration with Application, 4th ed., Prentic
SOLUTIONS MANUAL
FUNDAMENTALS OF MODERN MANUFACTURING:
MATERIALS, PROCESSES, AND SYSTEMS
Second Edition
MIKELL P. GROOVER Professor of Industrial and Manufacturing Systems Engineering Lehigh University
John Wiley & Sons, Inc., New York
1
PREFACE
This is t
What did we learn last week?
215323: Aircraft Vibration
Lecture for Week09-11
1
The response to an impulse is
thus defined in terms of the
impulse response function, h(t).
So, the response to (t) is given by h(t).
2
0
t
h(t ) e n (t )
m sin d (t ) t
d