Machine Dynamics Problems

Discontinuous Trajectory of the Mass Particle Moving on a String or a Beam 77
~
0.1
0.2
0.3
0.4
0.~5 vVL
0.7
0.8
0.9
1
_g2
-0.4
-0.6
-0.8
-1
-1.2
·1.4
0.3
0.4
i·
·0.4
0.1
0.2
0.~5 vVL
0.7
0.8
0.9
1
:8g
-1
-1.2
-1.4
-1.6
-1.8
·2
i_I
l
~
0.1
0.2
0.3
0.4
0.~5 vVL
0.7
0.8
0.9
o 1
_g2
-0.4
-0.6
-0.8
-1
-1.2
-1.4
-1.6
o
-0.2
-0.4
-0.6
-0.8
-1
-1.2
~
0.1
0.2
0.3
0.4
_~2
0.~5 vVL
0.7
0.8
1°·9
-0.4
-0.6
-0.8
-1
·1.2
Fig. 4. Simulation of the string motion under the mass moving at v: 0.2c, 0.5c, 1.Oc, 1.5c
Respective diagrams for a beam (Figs- 5,6)_
r
0.2
0.02
·0.2
·0.4
-0.2 ° ·0.6 -0.02
-0.4 ·0.8 -0.04
·0.6 ·1 -0.06
·0.8
-1.2
-0.08
-1 -0.1
·1.2 -0.12
I~02
-0.02
-0.04
-0.06
-0.08
-0.1
-0.12
Fig. 5. Simulation of the Timoshenko beam motion under the mass moving at v: 0.1, 1_0
(shear wave speed = 0_63, bending wave speed = 1_00)