Lalanne C. Mechanical Vibrations and Shocks: Mechanical Shock Volume II
Подождите немного. Документ загружается.
This page intentionally left blank
Index
arbritary
triangular pulse
Fourier
transform
12
background
noise
90
bump
2
conservation
of
acceleration
and
stress
299
of
materials
297
digitization
frequency,
choice
of 52
DuhameFs
integral
29
energy spectrum
5
extreme
response spectrum
47
fast
swept sine,
use of 274
final
peak
saw
tooth (FPS)
3
Fisher, D.K.
&
Posehn,
M.R. expression
253
Fourier
spectrum
5
transform
4
arbritary
12
definition
4
fast
(FFT)
18
half-sine
shock pulse
7
importance
of 17
initial peak
saw
tooth pulse (IPS)
10
practical calculations (undigitized,
digitized)
18
etseq
rectangular pulse
14
reduced
6
simple
shocks
6 et seq
half-sine
shock pulse
3
definition
121
Fourier
transform
6
spectra
41 et seq
haversine
definition
136
shock
4
IBS
proposal
283
initial peak
saw
tooth
shock (IPS)
definition
145
Fourier transform
10
shock motion
145
iterations
250
jerk
2
Kem, D.L.
&
Hayes, C.D.
function
251
linear
one-degree-of-freedom system
response
defined
by
acceleration
27,
force
26
to
simple shocks
33
arbitrary
triangular
35
half-sine
33
initial
peak
saw
tooth
34
rectangular pulse
34
trapezoidal
36
versed-sine
33
metal
to
metal impact, simulation
by 230
pseudo-velocity
38, 62 et seq
pulse,
end of 69, 72
pyroshocks, simulation
of 227 et seq
barrel
tester
228
conventional shock machine,
by 232
electrodynamic shaker simulation
231
flower
pot 233
metal
to
metal
229
316
Mechanical shock
rectangular pulse
Fourier transform
14
rectangular shock
3
definition
139
motion study
139
residual spectrum
74
Robbins, C.D.
&
Vaughan, E.P. method
289
shaker, shock generation
189 et seq
advantages
190
control
by
using
SRS 235 et seq
numerical
methods
237
parallel
filter
method
236
complementary parameter
284
decaying sinusoid
239
electrodynamic, limitations
of 191
electrohydraulic,
use of 193
Kern
and
Hayes
function
251
SHOC waveforms
267
ZERD
function
253
pre-
and
post-shocks
193 et seq
abacuses
212
incidence
227
optimized
216
quality
of
simulation
220
shape, influence
of 213
symmetrical, various
198 et seq
time history response,
one-degree-
of-freedom
system
220
principles
189
reduced
response
spectra
257
response spectrum
265
SHOC waveform
267
time history response
266
WAVSIN
waveform
259
SHOC waveform
267
definition
267
response
waveform
271
time history synthesis
272
velocity
and
displacement
270
shock
1
analysis
1 et seq
defined
by
force
26
non-zero velocity change
60
pyrotechnic
88, 227 et seq
severity
23
relative,
and
Fourier
86
simulation,
use of
fast
swept sine
108
modulated
random noise
112
modulated
sine pulses, restitution
by
115
random
vibration
113
shaker
119
swept-sine
109
and
stresses
23
in
time domain
4
shock machines
149 et seq
accelerated
fall
158
electrodynamic exciter
151
exotic
151
free
fall
151,
156
high
impact 149,
160
lightweight
160
medium
weight
162
impact
151
Collins
153
impulse
151
limitations
183
pendular
149,
154
pneumatic
153,
163
programmers
165
half-sine
165
limitations
180
rectangular-trapezoidal
180
TPS 173
steel punch method
179
propagation time, shock wave
168
rebound
169
sand-drop 149,
150
test
facilities
164
universal 155,
181
shock motion
122
impact
mode
126
perfect
rebound
129
without rebound
128
impulse
mode
124
shock response spectrum (SRS)
calculation
48 et seq
algorithms
47
domains
23 et
seq,
59
and
extreme response spectrum (ERS)
47
and
Fourier spectrum
81
high
frequency
75
use of 53
several-degrees-of-freedom
systems
55
shock
test
specification
95 et seq
measure signal,
simplification
96
signal compensation
244
simple
shocks,
kinematics
of 121
spectra, shock response (SRS)
absolute acceleration
37
amplitude
101
calculation
90
correction factor
79
damping,
choice
of 78
influence
77
duration
101
frequency
range, choice
of 80
negative
(or
maximum
negative)
39
Index
317
positive
(or
maximum positive)
38
transient signal
2
primary
(initial) negative
and
positive
38,
trapezoidal
shock
3
68
Fourier transform
15
relative
displacement
37, 38
response
37
versed-sine
secondary
or
residual
38, 66
pulse, definition
136
and
Fourier transform
83
shock
4
shape, choice
of 100
Fourier
transform
8
specification
99
spectra
42
difficulties
in 105
synthesis
98
WAVSIN
waveform
259 et seq
use
of 100
with
various pulses
41 et seq
ZERD function
253
spectral charts
81 and
decaying sinusoid
257
standard
response spectra
39
zero
shift
92
TSP
pulse
43
stress
strain curve
26
terminal
peak
saw
tooth shock (IPS)
3
definition
142
pulse
65
This page intentionally left blank
Synopsis
of
five
volume
series:
Mechanical Vibration
and
Shock
This
is the
second volume
in
this
five
volume series.
Volume
1 is
devoted
to
sinusoidal vibration.
The
responses, relative
and
absolute,
of a
mechanical one-degree-of-freedom system
to an
arbitrary excitation
are
considered,
and its
transfer
function
in
various
forms
defined.
By
placing
the
properties
of
sinusoidal vibrations
in the
contexts
of the
environment
and of
laboratory
tests,
the
transitory
and
steady state
response
of a
single-degree-of-
freedom
system with viscous
and
then with non-linear damping
is
evolved.
The
various sinusoidal modes
of
sweeping with their properties
are
described,
and
then,
starting
from the
response
of a
one-degree-of-freedom system,
the
consequences
of
an
unsuitable choice
of the
sweep rate
are
shown
and a
rule
for
choice
of
this rate
deduced
from it.
Volume
2
deals with mechanical shock. This volume presents
the
shock
response
spectrum (SRS) with
its
different
definitions,
its
properties
and the
precautions
to be
taken
in
calculating
it. The
shock
shapes
most widely used with
the
usual
test
facilities
are
presented
with
their characteristics,
with
indications
how to
establish
test specifications
of the
same severity
as the
real, measured environment.
A
demonstration
is
then given
on how
these specifications
can be
made with classic
laboratory equipment:
shock
machines, electrodynamic exciters driven
by a
time
signal
or by a
response spectrum, indicating
the
limits, advantages
and
disadvantages
of
each solution.
Volume
3
examines
the
analysis
of
random vibration, which encompass
the
vast
majority
of the
vibrations encountered
in the
real environment. This volume
describes
the
properties
of the
process
enabling simplification
of the
analysis, before
presenting
the
analysis
of the
signal
in the frequency
domain.
The
definition
of the
power spectral density
is
reviewed
as
well
as the
precautions
to be
taken
in
calculating
it,
together with
the
processes
used
to
improve results (windowing,
320
Mechanical
shock
overlapping).
A
complementary third approach consists
of
analyzing
the
statistical
properties
of the
time signal.
In
particular, this study makes
it
possible
to
determine
the
distribution
law of the
maxima
of a
random Gaussian signal
and to
simplify
the
calculations
of
fatigue
damage
by
avoiding direct counting
of the
peaks (Volumes
4
and
5).
Having established
the
relationships
which
provide
the
response
of a
linear
system with
one
degree
of freedom to a
random vibration, Volume
4 is
devoted
to
the
calculation
of
damage
fatigue.
It
presents
the
hypotheses adopted
to
describe
the
behaviour
of a
material subjected
to
fatigue,
the
laws
of
damage accumulation,
together with
the
methods
for
counting
the
peaks
of the
response,
used
to
establish
a
histogram when
it is
impossible
to use the
probability density
of the
peaks obtained
with
a
Gaussian signal.
The
expressions
of
mean damage
and of its
standard
deviation
are
established.
A few
cases
are
then examined using other hypotheses
(mean
not
equal
to
zero, taking account
of the
fatigue
limit,
non
linear accumulation
law,
etc.).
Volume
5 is
more especially dedicated
to
presenting
the
method
of
specification
development
according
to the
principle
of
tailoring.
The
extreme response
and
fatigue
damage spectra
are
defined
for
each type
of
stress
(sinusoidal vibrations,
swept sine, shocks, random vibrations,
etc.).
The
process
for
establishing
a
specification
as from the
life
cycle
profile
of the
equipment
is
then detailed, taking
account
of an
uncertainty factor, designed
to
cover
the
uncertainties related
to the
dispersion
of the
real environment
and of the
mechanical strength,
and of
another
coefficient,
the
test factor, which takes into account
the
number
of
tests
performed
to
demonstrate
the
resistance
of the
equipment.
This work
is
intended
first and
foremost
for
engineers
and
technicians working
in
design teams, which
are
responsible
for
sizing equipment,
for
project teams given
the
task
of
writing
the
various sizing
and
testing specifications (validation,
qualification,
certification, etc.)
and for
laboratories
in
charge
of
defining
the
tests
and
their performance, following
the
choice
of the
most suitable simulation means.