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Figures index
From
Vibration Control of an Electromechanical Model with Time-Dependent Magnetic Field
Usama H. Hegazy, Jihad Y. Abu Ful
Journal of Mechanical Design and Vibration
.
2016
, 4(1), 1-9 doi:10.12691/jmdv-4-1-1
Fig
ure
1.
Frequency response curves of the mechanical part at subharmonic resonance case
with linear velocity feedback when: F=3.0, γ1=2.0, ω1=1.0, σ3=0.01, μ1=0.1, α1=2.5, b=0.01, G1=0.1
Full size figure and legend
Fig
ure
2.
Frequency response curves of the electrical part at resonance case with linear velocity feedback, when:
E
=2.0,
γ
2
=0.07,
γ
3
=0.7,
ω
1
=1.0,
σ
3
=0.01,
μ
2
=0.03,
μ
3
=0.2,
α
2
=0.02,
a
=0.01,
G
2
=0.1
Full size figure and legend
Fig
ure
3.
Force response curves of the mechanical part at resonance case with linear velocity feedback, when:
σ
2
=0.05,
γ
1
=2.0,
ω
1
=1.0,
σ
3
=0.01,
μ
1
=0.1,
α
1
=2.5,
b
=0.01,
G
1
=0.1
Full size figure and legend
Fig
ure
4.
Force response curves of the electrical part at resonance case with linear velocity feedback when:
σ
1
=0.05,
γ
2
=0.07,
γ
3
=0.7,
ω
1
=1.0,
σ
3
=0.01,
μ
2
=0.03,
μ
3
=0.2,
α
2
=0.6,
a
=0.01,
G
2
=0.1
Full size figure and legend
Fig
ure
5.
Non-resonant time history without control when:
Ω
=3.0,
ω
1
=2.7,
ω
=3.5,
F
=0.05,
E
=0.05 ,
γ
1
=0.04,
γ
2
=0.07,
γ
3
=0.7,
f
1
=0.1,
μ
1
=0.1,
μ
2
=0.3,
μ
3
=0.2,
α
1
=2.5,
α
2
=0.02
Full size figure and legend
Fig
ure
6. Time history solution at different resonance cases without control when:
Ω
=3.0,
ω
1
=2.7,
ω
=3.5,
F
=0.05,
E
=0.05 ,
γ
1
=0.04,
γ
2
=0.07,
γ
3
=0.7,
f
1
=0.1,
μ
1
=0.1,
μ
2
=0.3,
μ
3
=0.2,
α
1
=2.5,
α
2
=0.02
Full size figure and legend
Fig
ure
7.
Subharmonic resonance time history with various control laws, when:
Ω
=2.0,
ω
1
=1.0,
ω
=2.0,
F
=0.05,
E
=0.05,
γ
1
=0.04,
γ
2
=0.07,
γ
3
=0.7,
f
1
=0.1,
μ
1
=0.1,
μ
2
=0.3,
μ
3
=0.2,
α
1
=2.5,
α
2
=0.02,
G
1
=
G
2
=0.2
Full size figure and legend
Fig
ure
8.
Effects of the linear velocity feedback gains
G
1
and
G
2
on the subharmonic resonance time solution, when :
Ω
=2.0,
ω
1
=1.0,
ω
=2.0,
F
=0.05,
E
=0.05,
γ
1
=0.04,
γ
2
=0.07,
γ
3
=0.7,
f
1
=0.1,
μ
1
=0.1,
μ
2
=0.3,
μ
3
=0.2,
α
1
=2.5,
α
2
=0.02
Full size figure and legend
Fig
ure
9.
Effect of the parametric excitation amplitude
f
1
at resonance case without control
Full size figure and legend