Flexible Gear Model Library - Vibration Excitation Mechanisms and Gear Force Calculation

Tim Dackermann, Steve Miller, Lars Hedrich, and Rolando Dölling


Gear Model, Multi-Body Simulation, Excitation Mechanisms, Transmission Error, Physical Network Approach, SimMechanics™


Reducing gearbox noise is critical for meeting quality requirements of mechatronic systems. In order to predict acoustic behavior and perform vibration optimization, vibro-acoustic gear models are necessary. Currently, SimMechanics™ provides ideal gear constraints which do not model effects such as gear tooth bending or backlash between gears. This paper introduces a method to represent a flexible (non-rigid) gear connection in SimMechanics™. The model can be employed for vibro-acoustic analysis of helical and spur gears taking gear mesh excitation as well as inner gear force calculation into account. The gear stiffness characteristics, which are affected by material properties, tooth geometries, manufacturing tolerances, etc. can be fed into the simulation model using an analytical function, lookup table or Fourier coefficients. Finally, after verification, the potential of the approach is shown on representative gear transmissions.

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