Chapter
p 01
Introduction
MDM 525 Vibration Control and Isolation
Prepared by [Link].
Asst Prof Dr. Gökhan
[Link] Gökhan O
O. Özgen
Fall 2014-
2014-2015
2015
Wednesday 18:40-21:30 @ B101
Department of Mechanical Engineering
Middle East Technical University
06531 AnkaraTURKEY
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
1
Outline
What is this course about?
What kind of background do the students taking this course need?
Discussion of some Basic Concepts that will be used in this
course
Course Content (sneak peek)
Passive Vibration Control
Passive Vibration Isolation
Design of Structures for Optimum Vibration Behaviour
Semi
Semi--Active Vibration Control & Active Vibration Control
Semi--Active Vibration Isolation & Active Vibration Isolation
Semi Isolation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
2
What is this course about?
Vibration control and isolation techniques which can be used to
solve a wide range of vibration related problems
In the industry, the bottom line for any vibration related study is to be
able to come up with a design that has desired structural dynamics
behavior
e.g. maximized resonance frequencies, lower peaks at resonances, etc.
Only in course in the department(and the university) that systematically
discusses the solution vibration-related industrial problems using
vibration control and isolation techniques.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
3
What kind of background do the students taking
this course need?
A good background on analysis of mechanical vibrations is required.
If you do not have such skills you will have to develop them as you
go along through self-study.
A review of vibration theory is done in the next week.
Good command of software such as MATLAB or MATHCAD with tools
that can be used to perform transient and frequency domain
vibration response simulations is required.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
4
What kind of background do the students taking
this course need?
Familiarity with the use a commercial finite element analysis
software such as ANSYS, MSC/NASTRAN, MSC/MARC, or ABAQUS
i also
is l recommended d d but
b t nott required.
i d
W
We will
ill be
b dealing
d li with
ith many diff
differentt topics
t i in i the
th areas off solid
lid
mechanics and dynamics.
Some examples are:
Vibration behavior of plates and beams (vibration of continuous systems).
Viscoelastic material behavior (material modeling, solid mechanics, polymers).
Testing of viscoelastic materials (vibration tests, data acquisition, signal
processing).
Modeling the linear vibratory behavior of mechanical systems (mechanical
vibrations).
Design for optimum structural dynamics behavior (optimization techniques).
Active control of vibrations (control theory).
etc.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
5
Discussion of some Basic Concepts that will be
used in this course
Mechanical vibrations Time domain solution
Harmonic motion Frequency domain solution
Degree(s) of Freedom (DOF) Fourier Transform
Lumped mass parameter model Modal Analysis
Continuous system model Mode Shape
Si l Degree
Single D off Freedom
F d System
S t Damping
Multi Degree of Freedom System Vibration Control
Equations of motion Passive Vibration Control
Semi-Active Vibration
Free response of a vibrating system Control
The impulse-response function Active Vibration Control
Natural frequency Vibration Isolation
Forced response Passive Vibration Isolation
H
Harmonici Response
R Semi-Active Vibration
Isolation
Frequency Response Function
Active Vibration Isolation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
6
Discussion of some Basic Concepts that will be
used
d in
i this
thi course
Mechanical vibrations
Oscillatory displacements or
deformations of a mechanical
system around a defined
equilibrium position
position.
Harmonic motion
A specific form of periodic motion
where the motion pattern can be
described by either a sine or
cosine function.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
7
Discussion of some Basic Concepts that will be
usedd in
i this
thi course (2)
Degree(s) of Freedom (DOF)
The number of independent
coordinates necessary to describe
th configuration
the fi ti off a system
t (to
(t
locate and orient each mass in the
mechanical system).
It can also be expressed as the
number of coordinates used to
describe the configuration of a
system minus the number of
independent constraint equations
between those coordinates
coordinates.
For example, a point in space has
three degrees-of-freedom (x,y,z) and
a rigid body in space has six DOF.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
8
Discussion of some Basic Concepts that will be
usedd in
i this
thi course (3)
Lumped mass parameter model
Mathematical representation of a vibratory system
using rigid mass elements connected with massless
elastic and dissipative elements.
elements
Inertial and elastic properties are discretized such
that the model sufficiently reproduces the actual
system behavior.
behavior
Continuous system model
Mathematical representation of vibratory systems
using partial differential equations (i.e. beams,
plates membrane
plates, membrane, string
string, etc.)
etc )
Main focus of ME 526.
Inertial and elastic properties are defined as
di t ib t d parameters.
distributed t
More accurate dynamic system representation of
dynamic systems.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
9
Discussion of some Basic Concepts that will be
usedd in
i this
thi course (4)
Single
g Degree
g of Freedom System
y
A system of which the dynamics can be
represented by only one degree of
freedom.
freedom
Multi Degree of Freedom System
A system of which the dynamics can be
represented by multiple degrees of
freedom (most systems are modeled as
multi DOF systems).
Equations of motion
Differential equations that govern the
response of a vibratory system.
Can be obtained by direct application of
Newton’s Second law or energy
methods
methods.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
10
Discussion of some Basic Concepts that will be
used
sed in this course
co rse (5)
Free response of a vibrating system
Transient response of a vibratory system due to
non-zero initial conditions with no external
forcing.
The impulse-response function
The time response x(t) of a vibratory system,
assuming that the initial conditions are zero and
that the system excitation f(t) is a unit
impulse.
Natural frequency
The frequency at which an undamped system
will tend to oscillate due to initial conditions in
the absence of any external excitation.
Because there is no damping, the system will
oscillate indefinitely
indefinitely.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
11
Discussion of some Basic Concepts that will be
used
sed in this course
co rse (6)
Forced response
The combined response of a vibratory system
due to non-zero initial conditions and non-zero
external forcing.
Harmonic Response
Steady-state (after the decay of transient system
response caused by non-zero initial conditions)
response of a system due to harmonic
forcing(s).
Frequency response analysis of the structure is
generally utilized for harmonic response
investigation of a dynamic system.
Frequency Response Function
Characteristic function of dynamic systems.
Gives us information about the response of a
system due to an harmonic excitation with unit
amplitude.
Defined for a pair of DOFs for multi DOF systems.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
12
Discussion of some Basic Concepts that will be
used in this course (7)
Time domain solution
Finding the response of a system as a function of time.
Subject of solution of differential equations.
Numerical solutions may be utilized for complex systems or complex
forcing functions.
Frequency domain
F d i solution
l ti
Finding the response of a system as a function of frequency.
The
Th initial
i iti l conditions
diti are assumedd tto b
be zero ffor thi
this ttype off analysis.
l i
Corresponding time domain solution is the steady state response of the
system.
system
Fourier Transformation can be used to go from time domain
representation
p of the response
p to the frequency
q y domain.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
13
Discussion of some Basic Concepts that will be
used in this course (8)
Fourier Transform
An integral transformation of mathematical F ( ) f (t )e jt dt
functions
functions.
Converts ordinary differential equations into
algebraic equations.
Time
Ti variable
i bl isi converted
t d iinto
t th
the ffrequency
variable.
Basis of frequency domain analysis.
A subset of Laplace domain which is used to
analyze dynamic systems that can be
described using linear ordinary differential
equations
i ((remember
b ME 304 C Controll SSytems
course.).
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
14
Discussion of some Basic Concepts that will be
used in this course (9)
Modal Analysis
Alternative mathematical
modeling approach that
can be used to describe
the dynamic behavior
(transient and steady state
harmonic) of a multi DOF
system.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
15
Discussion of some Basic Concepts that will be
used in this course (10)
10)
Mode shape
Deformation pattern of a vibratory system when excited at a particular
modal (resonant) frequency.
Animations courtesy of Dr. Dan Russell, Kettering University
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
16
Discussion of some Basic Concepts that will be
used in this course (11)
11)
Damping
Dissipation of the dynamic
energy of a vibrating structure.
Through damping, motion
energy is converted into heat
(via effect such as viscous
behavior or friction).
)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
17
Discussion of some Basic Concepts that will be
usedd in
i this
thi course (1
(122)
Vibration Control
Act of damping and
supression of unwanted
mechanical vibrations in a
mechanical system.
P
Passive
i Vibration
Vib ti control
t l
Vibration control without using
y external energy
any gy ((no
actuators, no sensors and
control system).
Design the system such that
its vibration characteristics
are as expected
Use high damping materials
Tailor the mode shapes and
resonant frequencies through
redesign
d i
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
18
Discussion of some Basic Concepts that will be
frequently used in this course (1
(133)
Semi-active vibration control
Vibration control using external
energy which is small compared
to dissipated vibratory energy.
A
Actively
ti l change
h system
t
dynamic properties to obtain
desired vibratory performance
of the ssystem
stem
Use of sensors and actuators
with minimal utilization of
external
t l energy
Active vibration control
Vibration control using external
energy to directly supress
unwated mechanical vibrations.
Requires extensive use of
sensors, actuators, data
acquisiton and controller(s)
acquisiton,
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
19
Discussion of some Basic Concepts that will be
f
frequently
tl used
d in
i this
thi course (1
(144)
Vibration isolation
Act of reduction of vibrations
or forces that are transmitted
from one system to another
another.
Passive vibration isolation.
Reduction of transmitted
vibrations and forces without
g any
using y external energy
gy ((no
actuators, no sensors and
control system).
Use resilient elements
(isolators) of high compliance
and high damping.
Optimize the topology
topology,
location and orientation of
isolators.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
20
Discussion of some Basic Concepts that will be
used in this course (15
(15)
Semi-active vibration isolation
Vibration control using external energy which is small compared to
transmitted vibratory energy.
Actively change system dynamic properties to obtain desired isolation
performance of the system.
Use of sensors and actuators with minimal utilization of external energy.
Active vibration isolation
Vibration isolation using external energy to directly supress transmitted
vibrations or forces.
Requires extensive use of sensors, actuators, data acquisiton, and
controllers.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
21
Outline
What is this course about?
What kind of background do the students taking this course need?
Discussion of some Basic Concepts that will be used in this
course
Course Content (sneak peek)
Passive Vibration Control
Passive Vibration Isolation
Design of Structures for Optimum Vibration Behaviour
Semi
Semi--Active Vibration Control & Active Vibration Control
Semi-
Semi-Active Vibration Isolation & Active Vibration
Isolation
Isolatio n
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
22
Passive Vibration Control
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
23
Passive Vibration Control
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
24
Passive Vibration Control
Free vibrations of
a cantilever beam
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
25
Passive Vibration Control
MAJOR TOPICS THAT
WILL BE COVERED
High Damping
Viscoelastic Solids for
passive vibration control.
Viskoelastik Malzeme
k ll l Pasif
kullanılan P if Titreşim
Tit i
Sönümleyiciler
Surface Damping
Treatments
Viscoelastic Links
Tuned Vibration
Absorvers
Piezo-shunt circuits.
Air-film damping.
Friction dampers.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
26
High Damping Viscoelastic Solids:
Material Properties
Typical
frequency
domain
distribution of
modulus for
viscoelastic
solids.
~*
() E ( j) () E() iE() ()
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
27
High Damping Viscoelastic Solids:
Material Testing (1)
Measure Response Measure Force
X() F()
Vibrating Beam
Method.
Estimate FRF H()
“The American 10
-4
D riv in g p o i n t F R F fo r m i d -p o i n t-8 el em en ts-1% d am p i n g -C an ti l ev er b e am
Society for X ( ) 10
-5
H ( ) 10
-6
Testing F ( )
-7
10
-8
10
Materials” 10
10
-9
-1
10
(ASTM) E-716 10
-1 1
0 1 2 3
F re q u en cy (H z )
4 5
x 10
6
4
stardard.
Estimate modal loss factors for
the composite beam (())
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
28
High Damping Viscoelastic Solids
Material Testing (2)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
29
High Damping Viscoelastic Solids
Material Testing (3)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
30
High Damping Viscoelastic Solids:
Material Testing (4)
f(t)
H(f)=X/F
(Receptance)
x(t) M
Specimen
k*
Single Degree of Frequency
Freedom Methods (Phase)
(Frequency Domain)
f(t) Frequency
Rigid
base
Specimen
m
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
31
High Damping Viscoelastic Solids:
Material Testing (5)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
32
High Damping Viscoelastic Solids
Material Testing (6)
Temperature-frequency nomogram for a
Temperature-
particular rubber composition [Harris and
Pierson 2002].
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
33
Surface Damping Treatments (1)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
34
Surface Damping Treatments (2)
Constrained Layer
Damping
Treatment
Base Structure
Viscoelastic layer
deformed in shear
mode
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
35
Surface Damping Treatments (3)
Improved
designs
[Garg and Anderson, 2003]
Multilayer
designs
g
[Nashif [Link]., 1985]
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
36
APPLICATION EXAMPLE (1)
Free Layer Surface Damping Treatment
A steel plate fully covered with a
free layer of viscoelastic damping
material.
t i l
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
37
APPLICATION EXAMPLE (2)
Free Layer Surface Damping Treatment
Automotive
body panel
vibration
contorl with
free layer
damping
treatment.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
38
APPLICATION EXAMPLE (2)
Free Layer Surface Damping Treatment
Automotive body panel
vibration control with free
l
layer damping
d i treatment.
t t t
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
39
APPLICATION EXAMPLE (1)
Constrained Layer Surface Damping Treatment
Helicopter
exhaust tail
pipe
extension
with and
without
constrained
layer damping
treatment.
treatment
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
40
APPLICATION EXAMPLE (2)
Constrained Layer Surface Damping Treatment
Aluminum aircraft
fuselage test bed with
constrained layer
damping treatment
(partial coverage).
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
41
APPLICATION EXAMPLE (3)
Constrained Layer Surface Damping Treatment
Application
of
constrained
layer
damping
treatment on
actual
aircraft
fuselage
structures.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
42
APPLICATION EXAMPLE (4)
Constrained Layer Surface Damping Treatment
Brake noise control through viscoelastic damping.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
43
APPLICATION EXAMPLE (5)
(5)
Constrained Layer Surface Damping Treatment
Integral Passive
Damping for
Aircraft Fuselage
Structure
[Source: Liguore [Link].,
Vibration Isolation and
Damping, 1995]
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
44
VISUAL DEMONSTRATIONS
Surface Damping Treatments
Surface Damping
Treatment Demo
(Structure Borne
(Structure-Borne
Noise Control
using Free Layer
Surface Damping
Treatment)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
45
Air Film Damping
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
46
APPLICATION EXAMPLE
Air Film Damping
Vibration damping of jet
turbine engine
bl d ( t t d
blades(patented
technology, Damping
Technologies
Incorporated).
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
47
Friction Dampers
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
48
APPLICATION EXAMPLE
Friction Damper
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
49
VISUAL DEMONSTRATIONS
Friction Dampers
Friction Damper Demo 1
(Infrastructure Application)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
50
Theory of Tuned Vibration Absorbers
Simple model Tuned Vibration
representing the Absorber added to
structure for which the structure
vibrations are to be
p
supressed.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
51
Tuned Vibration
t
treatment.
t t
Absorber
Effect of TVA resembles that of a damping
Secondary resonances are almost
completely damped out.
Investigation
of TVA
performance
f
using simple
mathematical
models
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
52
Tuned Vibration Absorber
Types of tuned absorbers [Nashif [Link]., 1985].
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
53
APPLICATION EXAMPLE (1)
T
Tuned
d Vibration
Vib ti Absorber
Ab b for
f BBattle
ttl TTank
kGGun Barrels
B l
Analysis And Control Of Gun
Barrel Vibrations
[Link]. Thesis Work By
Fırat Büyükcivelek
Co-Advised
C Ad i d with ith D
Dr. T
Tolga
l
Dursun
A TVA based solution is
investigated to integrate a longer
gun barrel to an already existing
t k while
tank hil kkeeping
i ththe d
dynamic
i
response of the new gun barrel to
the base excitation coming from
the ground as the tank moves
same as the original short gun
b
barrel.
l
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
54
APPLICATION EXAMPLE (1)
Tuned Vibration Absorber for Battle Tank Gun Barrels
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
55
APPLICATION EXAMPLE (1)
Tuned Vibration Absorber for Battle Tank Gun Barrels
Resonant Beam Type TVA Design
Suggested physical
d i
designs for
f the
th TVA Spring--Damper Type TVA Design
Spring
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
56
APPLICATION EXAMPLE (1)
Tuned Vibration Absorber for Battle Tank Gun Barrels
R
ResonanttB
Beam TType TVA D
Design
i
Magnetically Damped
Suggested physical
d i
designs for
f the
th TVA
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
57
APPLICATION EXAMPLE (2)
Tuned Vibration Absorber for Automotive Transmission
Ground
Vehicle
Powertrain
Vibration
control
using a
Tuned
Vibration
Absorber.
Absorber
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
58
APPLICATION EXAMPLE (3)
Tuned Vibration Absorber for Electric Power Transmissio
Lines
Stockbridge
Dampers used on
electric power
transmission
lines
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
59
APPLICATION EXAMPLE (4)
Design Of Tuned Vibration Absorber With Automatıc Tunıng Adjustment
ME 407 Makina Mühendisliğiğ
Tasarımı dersi projesi
Conference Paper was
as written.
ritten
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
60
APPLICATION EXAMPLE (5)
Aircraft Airfoil Vibration Control
Source: [Link]
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
61
APPLICATION EXAMPLE (5)
Aircraft Airfoil Vibration Control
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
62
VISUAL DEMONSTRATIONS
Tuned Vibration Absorbers
Tuned Mass Dampe Example
(TVA on Cantilever Beam with
M
Magnetic
ti Damping
D i – Moog
M
CSA)
Tuned Mass Damper Example
((Electric Motor od SDOF
Structure – Simple Lab
Demonstration)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
63
VISUAL DEMONSTRATIONS
Tuned Vibration Absorbers
Tuned Mass Damper Example 2 (TVA on Cantilever Beam with
Magnetic Damping – Moog CSA)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
64
Piezo--Shunt Dampers
Piezo
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
65
APPLICATION EXAMPLE (1)
Piezo--Shunt Dampers
Piezo
FRF of a beam and a plate (undamped
(undamped vs damped with
piezo--shunt circuits)
piezo
p
BEAM PLATE
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
66
Outline
What is this course about?
What kind of background do the students taking this course need?
Discussion of some Basic Concepts that will be used in this
course
Course Content (sneak peek)
Passive Vibration Control
Passive Vibration Isolation
Design of Structures for Optimum Vibration Behaviour
Semi
Semi--Active Vibration Control & Active Vibration Control
Semi-
Semi-Active Vibration Isolation & Active Vibration
Isolation
Isolatio n
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
67
Passive Vibration Isolation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
68
Passive Vibration Isolation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
69
Source: E.I. Rivin, Passive Vibration Isolation, ASME Press, 2003
Passive Vibration Isolation of a SDOF
System
Tek
serbestlik
d
derecelili bir
bi
sistem için
pasif titreşim
yalıtımı
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
70
Passive Vibration Isolation of a SDOF
System
Pasif Titreşim Yalıtımı –
Animasyon
Rastgele
R t l Titreşim
Tit i Gi
Girdisi
di i
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
71
Passive Vibration Isolation of a two DOF system
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
72
Dynamics of a
Resiliently
Supported 6 DOF
Rigid Body
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
73
Some Isolator Designs
Typical elastomeric isolators (D) Plate form instrument
isolator (E) General-purpose
isolator. General purpose isolator.
isolator (F) Cylindrical
stud isolator.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
74
Some Isolator Designs
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
75
Various vibration isolation configurations
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
76
APPLICATION EXAMPLE (1)
Passive Vibration Isolation
172 103.5
Helikoptere Y Y
Bağlanacak Opto-
114
X Z
54 4
54.4
M k ik bir
Mekanik bi Sistem
Si t
için Titreşim Yalıtım 300 200
Sistemi Performans
Analizi Y
53.5 X X Z
78 4
78.4
Platform : OH-6A Z
Helicopter units in mm
[Kaynak: Ozan Yavuz BAYTEMİR,
Yüksek Lisans Tezi, ODTÜ,
2013]
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
77
APPLICATION EXAMPLE (1)
Passive Vibration Isolation
[Kaynak: Ozan Yavuz BAYTEMİR, Yüksek Lisans Tezi, ODTÜ, 2013]
OH-6A Helicopter
p Vibration Profile on Instrument Panel
Helikoptere -2
10
Bağlanacak Opto-
celeration (g//Hz)
M k ik bir
Mekanik bi Sistem
Si t
2
için Titreşim Yalıtım
Sistemi Performans
PSD Acc
Analizi -3
10
Random Vibration 1 2 3
10 10 10
Profile of OH-6A Frequency (Hz)
Helicopter Frequency
F Rotor
R t
Amplitude
p
Acceleration
Amplitude
p
Displacement
(Hz) Source
Instrument Panel (g) (mm)
8.1 Main 0.27 1.0236
Amplitudes of 32.4 Main 1.75 0.4147
51 8
51.8 T il
Tail 1 05
1.05 0 0973
0.0973
Harmonic Vibration 64.8 Main 1.05 0.0622
of OH-6A Helicopter 97.2 Main 1.05 0.0276
103.6 Tail 1.05 0.0243
207.2 Tail 1.05 0.0061
310.8 Tail 1.05 0.0027
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
78
APPLICATION EXAMPLE (1)
Passive Vibration Isolation
172 103.5 Response Rms Response Rms
Point
Y Y Acceleration Displacement
p
of
(g-rms) (mm-rms)
114
X Z
Interest
54.4 X Y Z X Y Z
Mass
300 200 0.329 0.273 0.315 0.503 0.400 0.492
Center
Optical
0.342 0.242 0.349 0.521 0.422 0.545
Y Lens
53.5 X Z
X Input: 1.791 g-rms Input: 0.175 mm-rms
78.4
Z Input Harmonic Acceleration Amplitude (g)
Frequency
F A l ti
Acceleration M C
Mass Center
t O ti l Lens
Optical L
units in mm
(Hz) Amplitude
X Y Z X Y Z
(g)
8.1 0.27 0.446 0.467 0.452 0.398 0.519 0.471
32.4 1.75 0.317 0.320 0.320 0.401 0.288 0.230
Static Deflection of Isolators 51.8
64.8
1.05
1.05
0.067
0.042
0.067
0.042
0.067
0.042
0.082
0.051
0.060
0.037
0.053
0.033
due Standard Gravitational 97.2
103.6
1.05
1.05
0.018
0.016
0.018
0.016
0.018
0.016
0.022
0.019
0.016
0.014
0.015
0.013
Acceleration 207 2
207.2 1 05
1.05 0 004
0.004 0 004
0.004 0 004
0.004 0 005
0.005 0 004
0.004 0 003
0.003
310.8 1.05 0.002 0.002 0.002 0.002 0.002 0.001
Response to Random Vibration Deflection
Isolator
Input
p Number
(mm)
X Y Z
Response to Harmonic 1
2
≈ 0 1.947
≈ 0 1.281
≈ 0
≈ 0
Vibration Input- Acceleration 3 ≈ 0
≈0
1.193 ≈ 0
≈0
4 ≈ 0 1 859
1.859 ≈ 0
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
79
APPLICATION EXAMPLE (1)
172
Passive Vibration Isolation
103.5
Y Y 1
10
4
114
X Z
54.4
Transmissibility (mm/mm)
300 200
0 f=17.8 Hz
10
Y
53.5 X X Z
Mass Center, Input:X - Output:X
78.4 10
-1
Z Lens, Input:X - Output:X
units
it in mm
i
-2
10 -1
Transmissibilty Plots
0 1 2
10 10 10 10
Frequency (Hz)
1 1
10 10
nsmissibility (mm//mm)
Transmissibility (mm//mm)
0 ff=18
18 Hz 0 ff=17
17.9
9 Hz
10 10
-1
10
-1 Mass Center, Input:Z - Output:Z
10
L
Lens, IInput:Z
Z - Output:Z
O Z
Tran
Mass Center, Input:Y - Output:Y
Lens, Input:Y - Output:Y
-2 -2
10 -1 0 1 2
10 -1 0 1 2
10 10 10 10 10 10 10 10
Frequency (Hz) Frequency (Hz)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
80
APPLICATION EXAMPLE (1)
172
Passive Vibration Isolation
103.5 0
10
Y Y
114
X Z 10
-2
-2
54.4 10
PSD Acceleratiion (g2/Hz)
300 200 10
-3
-4
10
1
10
Y
-6
53.5 X X Z 10 Mass Center, X Direction
Mass Center, Y Direction
78.4
Z Mass Center, Z Direction
-8
10 Lens,, X Direction
units in mm Lens, Y Direction
Lens, Z Direction
-10
10 1 2 3
10 10 10
Frequency (Hz)
PSD Response Plots
-5
10
-7
10
OH-6A Helicopter Vibration Profile on Instrument Panel -8
10
Displacement (m2/Hz) -10
-2 10
10 10
-9
celeration (g2/Hz)
1
10
-15
10
Mass Center, X Direction
Mass Center
Center, Y Direction
PSD Acc
PSD D
10
-20 Mass Center, Z Direction
-3
Lens, X Direction
10
Lens, Y Direction
Lens, Z Direction
-25
1 2 3 10 1 2 3
10 10 10 10 10 10
Frequency (Hz)
Frequency (Hz)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
81
APPLICATION EXAMPLE (2 (2)
Passive Vibration Isolation
Vibration isolation for a pick-up
truck body structure.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
82
APPLICATION EXAMPLE (3 (3)
Passive Vibration Isolation
Vibration isolation of a radar
antenna structure (with
M t k
Meteksan S
Savunma AŞ)
A.Ş.)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
83
APPLICATION EXAMPLE (3 (3)
Passive Vibration Isolation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
84
Outline
What is this course about?
What kind of background do the students taking this course need?
Discussion of some Basic Concepts that will be used in this
course
Course Content (sneak peek)
Passive Vibration Control
Passive Vibration Isolation
Design of Structures for Optimum Vibration Behaviour
Semi
Semi--Active Vibration Control & Active Vibration Control
Semi-
Semi-Active Vibration Isolation & Active Vibration
Isolation
Isolatio n
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
85
Design of Structures for Optimum
Vibration Behaviour
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
86
APLICATION EXAMPLE (1)
Design of Structures for Optimum Vibration Behavior
Optimization Of Vibration
Characteristics Of A Radar Antenna
Structure
[Link]. Thesis Work By
İİsmett Baran
B
Co-Advised with Asst. Prof. Dr. Ender
Cğ ğ
Ciğeroğlu
Vibration characteristics of a
particular radar antenna structure are
optimized using methods such as
topology and stiffener design
optimization.
optimization
Radar antenna is to be externally
integrated to the AH-64 (Late)
helicopter platform.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
87
APLICATION EXAMPLE (1)
Design of Structures for Optimum Vibration Behavior
Initial Stiffener Design
No optimization method
is used
Intuitive
Int iti e design
First mode frequency
33.5 Hz
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
88
APLICATION EXAMPLE (1)
Design of Structures for Optimum Vibration Behavior
Optimized Stiffening Plate Design
Result of topology and design parameter
optimizations
ti i ti
First mode frequency 146.7 Hz
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
89
APPLICATION EXAMPLE (2
(2)
Design of Structures for Optimum Vibration Behavior
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
90
APPLICATION EXAMPLE (2
(2)
Design of Structures for Optimum Vibration Behavior
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
91
APPLICATION EXAMPLE (3
(3)
Design of Structures for Optimum Vibration Behavior
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
92
APPLICATION EXAMPLE (4
(4)
Design of Structures for Optimum Vibration Behavior
Optimization of the
Dynamic Behavior of a
Machine Tool Mounting
Device
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
93
APPLICATION EXAMPLE ((5 5)
Design of Structures for Optimum Vibration Behavior
(Elastomer) MalzemelerinYapısal
Dinamik Özelliklerinin Elde
Edilmesine Yönelik Test Alt
Yapısının Geliştirilmesi, Üretilmesi
ve Doğrulanması
Bir elastomer test sisteminin mekanik
aksamının ilk doğla frekansı maksimum
olacak şekilde optimum tasarımı
gerçekleştirilmiştir.
Şekilde yeşil ile gösterilen hacimler
topoloji optimizasyonunun uygulanacağı
tasarım bölgesini
g oluşturmaktadır.
ş
Maksimum en düşük modal frekansı elde
etmek hedef fonksiyonu
y olarak
tanımlanacaktır.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
APPLICATION EXAMPLE ((5 5)
Design of Structures for Optimum Vibration Behavior
%70 Hacim
Azaltımı durumu
için topoloji
optimizasyonu
gerçekleştirilmiştir.
İlk Üç Doğal
frekansın ortalama
değeri maksimize
edilmiştir.
Şekilde
malzemenin sözde
(pseudo)
yoğunluğu dağılımı
verilmiştir
verilmiştir.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
APPLICATION EXAMPLE ((5 5)
Design of Structures for Optimum Vibration Behavior
%70 Hacim
Azaltımı durumu
için topoloji
optimizasyonu
gerçekleştirilmiştir.
İlk Üç Doğal
frekansın ortalama
değeri maksimize
edilmiştir.
Şekilde
malzemenin sözde
(pseudo)
yoğunluğu dağılımı
verilmiştir.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
APPLICATION EXAMPLE ((5 5)
Design of Structures for Optimum Vibration Behavior
%70 Hacim
Azaltımı durumu
i i elde
için ld edilen
dil
modelin ilk üç
doğal frekansı [Hz]
1 559.94
2 779.99
3 986.92
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
APPLICATION EXAMPLE ((5 5)
Design of Structures for Optimum Vibration Behavior
DESIGN SPACE
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
APPLICATION EXAMPLE ((5 5)
Design of Structures for Optimum Vibration Behavior
Tasarım Hacmi
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
APPLICATION EXAMPLE ((5 5)
Design of Structures for Optimum Vibration Behavior
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
Outline
What is this course about?
What kind of background do the students taking this course need?
Discussion of some Basic Concepts that will be used in this
course
Course Content (sneak peek)
Passive Vibration Control
Passive Vibration Isolation
Design of Structures for Optimum Vibration Behaviour
Semi
Semi--Active Vibration Control & Active Vibration Control
Semi-
Semi-Active Vibration Isolation & Active Vibration
Isolation
Isolatio n
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
101
Semi--Active Vibration Control
Semi
&
Active Vibration Control
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
102
APPLICATION EXAMPLE (1)
Semi--Active Vibration Control
Semi
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
103
APPLICATION EXAMPLE (2)
Semi--Active Vibration Control
Semi
Electrorheological And
Magnetorheological Elastomers
EXAMPLE
Development of an adaptive
tuned vibration absorber with
magnetorheological elastomer
(Hua-xia Deng,g, Xing-long
g g Gong1
g and Lian-huaWang)
g)
Source: Smart Mater. Struct. 15 (2006) N111–N116
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
104
VISUAL DEMONSTRATIONS
Semi--Active Vibration Control
Semi
MR fluids – Basics and Applications (3.50 DAKİKADAN BAŞLAT)
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
105
APPLICATION EXAMPLE (1)
Active Vibration Control
Smart Truss Structure (utilizing
piezolectric material based
sensors and d actuators)
t t )
Source: NATO AVT-086 COURSE, presented by
Eswar PRASAD
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
106
APPLICATION EXAMPLE (2)
Active Vibration Control
Active Vibration
Control of a Beam
(Smart Beam)
METU, Aerospace Engineering
Department, Structures Lab.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
107
APPLICATION EXAMPLE (2)
Active Vibration Control
Active Vibration
Control of a Beam
(Smart Beam)
METU, Aerospace
Engineering Department,
Structures Lab.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
108
APPLICATION EXAMPLE (3)
Active Vibration Control
Active Vibration
Control of a Plate
(Smart Fin)
METU, Aerospace Engineering
Department, Structures Lab.
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
109
VISUAL DEMONSTRATIONS
Active Vibration Control
Piezoelectric bimorph actuators (benders)
Active vibration control of a beam (Simulation in ANSYS – Finite
element software)
Smart Beam – Active Vibration Control Using Piezoelectric Ceramic
Patches
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
110
APPLICATION EXAMPLE (4 (4)
Active Vibration Control
Active
C t i d Layer
Contrained L
Damping
treament
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
111
APPLICATION EXAMPLE (5 (5)
Active Vibration Control
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
112
APPLICATION EXAMPLE (6 (6)
Active Vibration Control
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
113
Outline
What is this course about?
What kind of background do the students taking this course need?
Discussion of some Basic Concepts that will be used in this
course
Course Content (sneak peek)
Passive Vibration Control
Passive Vibration Isolation
Design of Structures for Optimum Vibration Behaviour
Semi
Semi--Active Vibration Control & Active Vibration Control
Semi-
Semi-Active Vibration Isolation & Active Vibration
Isolation
Isolatio n
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
114
Semi--Active Vibration Isolation
Semi
&
Active Vibration Isolation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
115
APPLICATION EXAMPLE (1)
Semi--Active Vibration Isolation
Semi
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
116
APPLICATION EXAMPLE (2)
Active Vibration Isolation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
117
APPLICATION EXAMPLE (3)
Active Vibration Isolation
S
Source: htt //
[Link]
i i
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
118
APPLICATION EXAMPLE (4)
Active Vibration Isolation
Active Vibration Isolation
A i ti
Animation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
119
COMMERCIAL PRODUCTS
Active Vibration Isolation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
120
COMMERCIAL PRODUCTS
Active Vibration Isolation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
121
COMMERCIAL PRODUCTS
Active Vibration Isolation
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
122
ME 708 PAST TERM PROJECTS
Development of a MATLAB-Based Code with a GUI to Simulate the
Damping Performance of Constrained Layer Damping Treatments
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
123
ME 708 PAST TERM PROJECTS
Design Of A Tuned
Vib ti Absorber
Vibration Ab b
For A Gun Barrel
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
124
ME 708 PAST TERM PROJECTS
Simulation Of Frequency Response Of Plates Covered Partially
With Surface Damping Treatments
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
125
ME 708 PAST TERM PROJECTS
Experimental
Investigation of
S f
Surface Damping
D i
Treatments
MDM 525 Vibration Control and Isolation [Link]. Gökhan O. ÖZGEN
126
