<p>The acoustic behavior of technical products—referred to as Noise, Vibration, and Harshness (NVH)—forms an important criterion in customers’ purchasing decisions, e.g. in the automotive sector. Thus, optimizing the NVH behavior is essential during product development. NVH is influenced by dynamic excitations and the transfer of sound from the location of excitation to a&#xa0;receiver such as the driver. As the electrification of the mobility sector increases, gear mesh excitations contribute significantly to the noise of a&#xa0;vehicle, which was previously dominated by the combustion engine. The time-varying stiffness of the gear mesh is the main excitation in drivetrains and therefore needs to be optimized during product development. Elastic multi-body simulation (eMBS) has become an established method for modeling NVH characteristics of drivetrains. In order to evaluate the effect of gear mesh designs on a&#xa0;drivetrain’s excitations and therefore its NVH behavior, the time-varying stiffness of the gear mesh has to be incorporated into eMBS models. Today, this is either done by applying quasi-static transmission errors onto a&#xa0;model in frequency domain thereby neglecting the influence of the system’s oscillations back on the gear mesh excitations, e.g. by axial misalignment of the meshing shafts. Alternatively, analytical stiffness calculations are included in eMBS models in time-domain. However, these approaches are not yet validated. Also, incorporating the interaction between a&#xa0;flexible gear wheel and the gear mesh stiffness is paramount for NVH models of gears. Within previous works, a&#xa0;method for incorporating externally calculated gear mesh stiffnesses into eMBS has been proposed to overcome these challenges. The goal of this paper is to compare, validate and enhance the existing eMBS modeling methods of gear mesh stiffnesses with respect to their ability to model the dynamic behavior of gear boxes, defined by natural frequencies and critical operating points. A&#xa0;two-step approach consisting of quasi-static and dynamic validations is conducted. An improvement in accuracy between simulation and measurement of 10 dB is achieved compared to analytical eMBS methods.</p>

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Validation of models for calculating the NVH behavior of gearbox systems in an elastic multibody simulation

  • Stefan Wischmann,
  • Alexander Mann,
  • Georg Jacobs,
  • Christian Brecher,
  • Gregor Hoepfner,
  • Christian Westphal

摘要

The acoustic behavior of technical products—referred to as Noise, Vibration, and Harshness (NVH)—forms an important criterion in customers’ purchasing decisions, e.g. in the automotive sector. Thus, optimizing the NVH behavior is essential during product development. NVH is influenced by dynamic excitations and the transfer of sound from the location of excitation to a receiver such as the driver. As the electrification of the mobility sector increases, gear mesh excitations contribute significantly to the noise of a vehicle, which was previously dominated by the combustion engine. The time-varying stiffness of the gear mesh is the main excitation in drivetrains and therefore needs to be optimized during product development. Elastic multi-body simulation (eMBS) has become an established method for modeling NVH characteristics of drivetrains. In order to evaluate the effect of gear mesh designs on a drivetrain’s excitations and therefore its NVH behavior, the time-varying stiffness of the gear mesh has to be incorporated into eMBS models. Today, this is either done by applying quasi-static transmission errors onto a model in frequency domain thereby neglecting the influence of the system’s oscillations back on the gear mesh excitations, e.g. by axial misalignment of the meshing shafts. Alternatively, analytical stiffness calculations are included in eMBS models in time-domain. However, these approaches are not yet validated. Also, incorporating the interaction between a flexible gear wheel and the gear mesh stiffness is paramount for NVH models of gears. Within previous works, a method for incorporating externally calculated gear mesh stiffnesses into eMBS has been proposed to overcome these challenges. The goal of this paper is to compare, validate and enhance the existing eMBS modeling methods of gear mesh stiffnesses with respect to their ability to model the dynamic behavior of gear boxes, defined by natural frequencies and critical operating points. A two-step approach consisting of quasi-static and dynamic validations is conducted. An improvement in accuracy between simulation and measurement of 10 dB is achieved compared to analytical eMBS methods.