Gears Dynamic Response to Vibrations
Valeriu Ionica, Ionut Geonea, Cosmin Miritoiu, and Alexandru Bolcu
Abstract Gears work under heavy working conditions, subject to progressive
damage that causes tooth wear or even tearing. In this paper, we analyze the dynamic
behavior of the gear in time, based on a mechanical model with two degrees of
freedom. We obtained the dynamic response by applying the Laplace transform with
respect to mathematical model time, obtaining an algebraic system in the Laplace
transformations of angular displacements. Their inversion led to the determination of
the movements as time functions, their graphic representations highlighting the way
they evolve. ADAMS modeling and simulation tools are used for the gear’s dynamic
response study.
1 Introduction
Maintenance is an important aspect for ensuring a satisfactory level of machine reliability over their lifetime [1, 2]. New maintenance strategies, such as conditional maintenance, have been extensively extended. This approach requires vibration analysis
to be the most common technique for rotor maintenance [2–4].
Determining vibration displacements from the design phase will result in better
gearing. These displacements we obtained with the Laplace unilateral transform in
relation to time, the system of differential equations being linear, with constant coefficients. This modern method greatly facilitates integration because the transformed
Laplace algebrizes the problem [5–8]. We obtained the dynamic response in the form
of time functions [9]. Mathematical modeling is complemented by virtual simulation
with multibody ADAMS software [10].
V. Ionica · I. Geonea (B) · C. Miritoiu · A. Bolcu
Faculty of Mechanics, University of Craiova, Craiova, Romania
e-mail: igeonea@yahoo.com
© Springer Nature Switzerland AG 2021
N. Herisanu and V. Marinca (eds.), Acoustics and Vibration of Mechanical
Structures—AVMS 2019, Springer Proceedings in Physics 251,
https://doi.org/10.1007/978-3-030-54136-1_10
91
Valeriu Ionica, Ionut Geonea, Cosmin Miritoiu, and Alexandru Bolcu
Abstract Gears work under heavy working conditions, subject to progressive
damage that causes tooth wear or even tearing. In this paper, we analyze the dynamic
behavior of the gear in time, based on a mechanical model with two degrees of
freedom. We obtained the dynamic response by applying the Laplace transform with
respect to mathematical model time, obtaining an algebraic system in the Laplace
transformations of angular displacements. Their inversion led to the determination of
the movements as time functions, their graphic representations highlighting the way
they evolve. ADAMS modeling and simulation tools are used for the gear’s dynamic
response study.
1 Introduction
Maintenance is an important aspect for ensuring a satisfactory level of machine reliability over their lifetime [1, 2]. New maintenance strategies, such as conditional maintenance, have been extensively extended. This approach requires vibration analysis
to be the most common technique for rotor maintenance [2–4].
Determining vibration displacements from the design phase will result in better
gearing. These displacements we obtained with the Laplace unilateral transform in
relation to time, the system of differential equations being linear, with constant coefficients. This modern method greatly facilitates integration because the transformed
Laplace algebrizes the problem [5–8]. We obtained the dynamic response in the form
of time functions [9]. Mathematical modeling is complemented by virtual simulation
with multibody ADAMS software [10].
V. Ionica · I. Geonea (B) · C. Miritoiu · A. Bolcu
Faculty of Mechanics, University of Craiova, Craiova, Romania
e-mail: igeonea@yahoo.com
© Springer Nature Switzerland AG 2021
N. Herisanu and V. Marinca (eds.), Acoustics and Vibration of Mechanical
Structures—AVMS 2019, Springer Proceedings in Physics 251,
https://doi.org/10.1007/978-3-030-54136-1_10
91