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BS ISO 4664-1:2005

$142.49

Rubber, vulcanized or thermoplastic. Determination of dynamic properties – General guidance

Published By Publication Date Number of Pages
BSI 2005 32
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PDF Pages PDF Title
5 Contents
Page
6 Foreword
7 Rubber, vulcanized or thermoplastic — Determination of
Part 1:
General guidance
1 Scope
3 Terms and definitions
3.1 Terms applying to any periodic deformation
3.1.1
Normative references
8 3.1.3
3.1.4
3.1.5
Figure 1 — Heavily distorted hysteresis loop obtained under forced pulsating sinusoidal strain
9 3.1.7
3.1.8
3.1.9
3.1.11
3.1.12
3.1.13
3.1.14
10 3.2 Terms applying to sinusoidal motion
3.2.1
3.2.2
G δ
3.2.3
G δ
3.2.4
G iG
3.2.5
G G
3.2.6
E δ
11 E δ
E iE
3.2.9
E E
3.2.10
K δ
3.2.11
K δ
3.2.12
K iK
12 K K
3.2.14
3.2.15
3.2.16
3.3 Other terms applying to periodic motion
3.3.1
3.3.2
13 K δ
3.3.4
ω δ
K δ
4 Symbols
A
(m 2 )
test piece cross-sectional area
a ( T )
Williams, Landel, Ferry (WLF) shift factor
(rad) angle of twist
b
(m) test piece width
C
damping coefficient (damping constant)
C p
heat capacity
strain
γ 0
maximum strain amplitude
(rad)
loss angle
E
(Pa)
Young’s modulus
E c
(Pa)
effective Young’s modulus
14 E’
(Pa) elastic normal modulus (storage normal modulus)
E”
(Pa) loss normal modulus
E*
(Pa) complex normal modulus (complex Young’s modulus)
absolute value of complex normal modulus
F
(N) load
f
(Hz) frequency
G
(Pa)
shear modulus
G’
(Pa) elastic shear modulus (storage shear modulus)
G”
(Pa) loss shear modulus
G*
(Pa) complex shear modulus
absolute value of complex shear modulus
h
(m) test piece thickness
K
(N/m)
spring constant
K’
(N/m) storage spring constant (dynamic spring constant)
K”
(N/m) loss spring constant
K*
(N/m) complex spring constant
absolute value of complex spring constant
k
numerical factor
k l
shape factor in torsion
L f
loss factor
l
(m) test piece length
extension ratio
logarithmic decrement
M’
(Pa) in phase or storage modulus
M”
(Pa)
loss modulus
M*
(Pa)
complex modulus
(Pa) absolute value of complex modulus
m
(kg) mass
(kg/m 3 )
rubber density
15 Q
(N⋅m) torque
S
shape factor
T
(K) temperature (in kelvins)
T g
(K) low-frequency glass transition temperature
T 0
(K) reference temperature
t
(s) time
(Pa) stress
τ 0
(Pa) maximum stress amplitude

(Pa)
in-phase stress
τ ”
(Pa)
out-of-phase stress
u
damping ratio
V τ
transmissibility
(rad/s) angular frequency
x
(m) deflection
x 0
(m) maximum deflection amplitude
5 Principles
5.1 Viscoelasticity
16 Figure 2 — A dynamic model for rubber (Voigt-Kelvin model)
5.2 Use of dynamic test data
5.3 Classification of dynamic tests
a) Classification by type of vibration
b) Classification by type of test apparatus
17 Table 1 — Classification of dynamic tests
c) Classification by mode of deformation
5.4 Factors affecting machine selection
5.5 Dynamic motion
5.5.1 Forced-vibration method
18 Figure 3 — Sinusoidal stress-strain time cycle
ω δ
( )
M’ iM”
γ γ
δ δ
M”
γ γ
0 δ δ
19 M’ M”
M’
(7)
5.5.2 Free-vibration method
2 K” x
t ω
m Λ
ω 
ω Λ
ΛΛ
L f is the loss factor;
Λ is the logarithmic decrement.
5.6 Interdependence of frequency and temperature
M’ f T
M’ f a T
20 M” f T
M” f a T
a ( T )
is the Williams, Landel, Ferry (WLF) shift factor;
T
is the test temperature (K);
T 0
is the reference temperature (K);
f
is the test frequency (Hz);
f ⋅ a ( T )
is the reduced frequency (Hz);
is the rubber density at the test temperature (kg/m 3 );
ρ 0
is the rubber density at standard temperature (kg/m 3 ).
( )
T T
+ ( )
( )
T T
T T
a T
6 Apparatus
a) Clamping or supporting arrangement that permits the test piece to be held so that it acts as the elastic
c) Detectors, for determining dependent and independent experimental parameters such as force,
21 d) Oven and controller, for maintaining the test piece at the required temperature.
e) Instruments for measuring test piece dimensions, in accordance with ISO 23529.
Figure 4 — Example of small-sized test apparatus
Figure 5 — Example of large-sized test apparatus
22 7 Calibration
8 Test conditions and test pieces
8.1 Test piece preparation
8.2 Test piece dimensions
8.3 Number of test pieces
8.4 Test conditions
8.4.1 Strain
23 8.4.2 Frequency and temperature
24 8.5 Small-sized test apparatus
Table 2 — Test conditions and test pieces for small-sized test apparatus
25 8.6 Large-sized test apparatus
Table 3 — Test conditions and test pieces for large-sized test apparatus
26 8.7 Dynamic testing using free vibration
a) Test piece dimensions
b) Test conditions
9 Conditioning
9.1 Storage
9.2 Temperature
9.3 Mechanical conditioning
27 10 Test procedure
11 Expression of results
11.1 Parameters required
11.2 Forced vibration
( )
f C
28 Figure 6 — Load-deflection curve
F h
Ax
F 0 and x 0
are the maximum load amplitude and maximum deflection amplitude, respectively;
A
is the test piece cross-sectional area;
h
is the test piece thickness.
(17)
δ
(18)
29 G δ
(20)
11.3 Free vibration
11.4 Stress-strain relationships and shape factors
λ −
( )
k bh Ga
k l
is the shape factor in torsion;
l
is the length of the test piece between the grips.
30 12 Test report
31 blank
32 BS ISO
BSI — British Standards Institution
Revisions
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BS ISO 4664-1:2005
$142.49