184
5 Modeling of Mechanical Oscillatory Systems …
Fig. 5.52 Graphs of the angular displacement of the disks at different angular momentum modulo
at different viscosity of the medium
Modelica library and select the Mechanics section there. Now we will be interested
in rotational components. Here we select the components of interest to us SpringDamper (spring with a damper), and Inertia is a component with a given moment of
inertia (Fig. 5.53).
In addition to the components, we will need to apply the external torque T to
the Inertia component, which we will find in sources. Choose ConstantTorque, i.e.,
constant torque (Fig. 5.54).
Now everything is ready to create a model. Assemble it in a graphical representation of the selected components (Fig. 5.55).
Carry out similar experiments and make sure that the two approaches give the
same results. The model of a double torsion oscillator is also easy to build from
ready-made components. The simulation results coincide with the obtained direct
numerical solution (Fig. 5.56).
5.7 Gear Rotary Mechanical System
Formulation of the problem
A gear system consists of two torsion spring oscillators that are offset parallel to some
X-axis. The torsion oscillator disks are coupled to weightless coil springs. Other ends
5 Modeling of Mechanical Oscillatory Systems …
Fig. 5.52 Graphs of the angular displacement of the disks at different angular momentum modulo
at different viscosity of the medium
Modelica library and select the Mechanics section there. Now we will be interested
in rotational components. Here we select the components of interest to us SpringDamper (spring with a damper), and Inertia is a component with a given moment of
inertia (Fig. 5.53).
In addition to the components, we will need to apply the external torque T to
the Inertia component, which we will find in sources. Choose ConstantTorque, i.e.,
constant torque (Fig. 5.54).
Now everything is ready to create a model. Assemble it in a graphical representation of the selected components (Fig. 5.55).
Carry out similar experiments and make sure that the two approaches give the
same results. The model of a double torsion oscillator is also easy to build from
ready-made components. The simulation results coincide with the obtained direct
numerical solution (Fig. 5.56).
5.7 Gear Rotary Mechanical System
Formulation of the problem
A gear system consists of two torsion spring oscillators that are offset parallel to some
X-axis. The torsion oscillator disks are coupled to weightless coil springs. Other ends