174
5 Modeling of Mechanical Oscillatory Systems …
Fig. 5.37 Graphs of the dependence of the angles of displacement of the pendulums on time:
blue—the first pendulum, yellow—the second pendulum (ω x0 = 2 rad/s)
Fig. 5.38 Phase diagram of the first pendulum (ω x0 = 2 rad/s)
in the plane of the displacement angles is clearly visible. It is a rhombus, offset from
the origin.
Similar envelopes of phase trajectories can also be obtained in the plane of linear
displacements of pendulums from the equilibrium position.
Let us return to the initial settings of the system parameters with the frequency of
the driving force in the X-direction equal to f = 1 Hz. Theoretical calculations give
us two values of natural frequencies:
ω 1 = 0.511964 Hz
ω 2 = 1.12947 Hz
5 Modeling of Mechanical Oscillatory Systems …
Fig. 5.37 Graphs of the dependence of the angles of displacement of the pendulums on time:
blue—the first pendulum, yellow—the second pendulum (ω x0 = 2 rad/s)
Fig. 5.38 Phase diagram of the first pendulum (ω x0 = 2 rad/s)
in the plane of the displacement angles is clearly visible. It is a rhombus, offset from
the origin.
Similar envelopes of phase trajectories can also be obtained in the plane of linear
displacements of pendulums from the equilibrium position.
Let us return to the initial settings of the system parameters with the frequency of
the driving force in the X-direction equal to f = 1 Hz. Theoretical calculations give
us two values of natural frequencies:
ω 1 = 0.511964 Hz
ω 2 = 1.12947 Hz