Comparative Analysis of the Voigt–Kelvin and Maxwell Models …
363
The amplitude of the vibrations of the compactor roller with mass m from the
relation (10) emerges as
X
M
0 =
m 0 r ω
2 c
m 2 ω 2 k 2 + c 2
k − mω 2
2
(12)
The transmitted force may be written down as follows:
˜
Q(t) = k ˜
Y e
jωt
or taking into account relation (11) we have
˜
Q(t) =
jcωk F 0 e
jωt
−mω 2 k + jcω
k − mω 2
(13)
The amplitude of the transmitted force (maximum force) emerges as
Q
M
0 =
m 0 r ω
2 ck
m 2 ω 2 k 2 + c 2
k − mω 2
2
(14)
It is noticed that for the functioning technologically established in after-resonance,
that is for ω → ∞, we have
X
M
0 =
m 0 r
m
Amplitude remains steady regardless of the variation of the excitation pulse ω,
for ω ω n .
Q
M
0 =
m 0 r
m
k
The maximum force transmitted remains steady regardless of the variation of the
excitation pulse ω, for ω ω n [15, 16].
3 The Comparative Analysis of the Dynamic Behavior
for the Linear Voigt–Kelvin and Maxwell Rheological
Models
For the comparative analysis, the parametric values for an experimental system of
dynamic vibratory-soil roller system were established. Thus, for the continuous variation of the excitation pulse ω = 0 … 900 rad/s and of the discrete variation of the