Dynamic simulation of high-pressure angle spur gears

The present work dwells with the dynamic modeling of high-pressure angle spur gears ranging from 30 to 35 degrees. The benefits and potential of such gears in terms of dynamic performance is explored. A custom optimized spur gear tooth root geometry is used to construct the root area of the case studies presented and compared versus standardized ISO geometries. An extension of the closed-form load and position-dependent mesh stiffness previously developed by the authors is introduced to accommodate the hereby studied non-standard gear geometries. The non-linear load and position-dependent mesh stiffness is formulated in closed form using a hybrid polynomial/ logarithmic approximation and validated versus finite element results. The non-implicit single degree of freedom (DOF) dynamic model employed is discussed in detail and manages to successfully predict the dynamic transmission error of a gear pair as well as meshing nonlinearities including contact reversal and loss of contact. We present an extensive comparison of the dynamic behavior between standard 20-degre and high-pressure angle gears, for a wide range of rotational speed and transmitted torque values. A colormap with the