98
V. Ionica et al.
Fig. 9 Angular deformation velocity of the pinion center of mass marker
Fig. 10 Deformed shape of the input gear, for vibration mode 7
6 Conclusion
For preventive conditional maintenance, the vibration analysis that acts on gear teeth
is very useful in the industrial design of gear mechanisms. In the paper, we developed
an analytical model simulating the behavior of a vibratory gear. The analytical model
is complemented by modeling and numerical simulation in ADAMS.
The angular displacements of the toothed gear and pinion were determined by
the unilateral transformation with respect to Laplace’s time, a modern method that
leads to the so-called algebrasis of the problem, which ultimately solves an algebraic
system, being easily adaptable to the calculation computation. The values obtained
for angular displacements of the marker attached to the center of mass of the gears,
by solving the mathematical model and by simulation in ADAMS, are comparable.
V. Ionica et al.
Fig. 9 Angular deformation velocity of the pinion center of mass marker
Fig. 10 Deformed shape of the input gear, for vibration mode 7
6 Conclusion
For preventive conditional maintenance, the vibration analysis that acts on gear teeth
is very useful in the industrial design of gear mechanisms. In the paper, we developed
an analytical model simulating the behavior of a vibratory gear. The analytical model
is complemented by modeling and numerical simulation in ADAMS.
The angular displacements of the toothed gear and pinion were determined by
the unilateral transformation with respect to Laplace’s time, a modern method that
leads to the so-called algebrasis of the problem, which ultimately solves an algebraic
system, being easily adaptable to the calculation computation. The values obtained
for angular displacements of the marker attached to the center of mass of the gears,
by solving the mathematical model and by simulation in ADAMS, are comparable.