Some of the results are reported in so-called contact coordinate system (CCS). Each bevel / hypoid gear pair has such coordinate system as shown in Figure 304. The origin of the CCS is located at the reference marker of Gear 1 (w1). The Z-axis of the CCS is identical with the Z-axis of Gear 1. The Y-axis of the CCS lies in plane formed by rotational axes of both gears. The X-axis of the CCS follows from the right hand rule.

It is assumed that no more than 5 teeth can be in contact.

 

 

There are following request groups and underlying requests for Standard option of the Flexible Tooth and Full Flex Gear:

 

There are following request groups and underlying requests for Enhanced option of the Flexible Tooth and Full Flex Gear:

 

There are following request groups and underlying requests for Standard option of the Gear Fast:

 

There are following request groups and underlying requests for Enhanced option of the Gear Fast:

 

The result of Contact_Tooth_Gear_1 and Contact_Tooth_Gear_2 is explained on Figure 305. If the right flank is in contact, the tooth number is displayed as negative number.

The result of Distance_X, Distance_Y, Distance_Z, Misalignment_AX, Misalignment_AZ, Misalignment_Magnitude gives the position and the rotation around the X-axis and Y-axis of wheel_2 relative to wheel_1 in the CCS.

The result of Tooth_xx_Max_Penetration helps to evaluate the selected contact stiffness for rigid body contact. In case of a flexible tooth, only a small penetration should be reported under normal operating conditions. The tooth_0 is the tooth in the middle of the rim of wheel 1 with the smallest deviation to the YZ-plane of the CCS. The relative teeth numbers -2 to +2 (M2, M1, 0, P1, P2) follow the rule of right hand when the thumb points in wheel_1 Z-axis direction; see Figure 305 for the definition of the contact tooth and for gear teeth numbering convention.

The resulting force and torque vectors are measured in the CCS applied on wheel 1 are given by FX, FY, FZ_Gear_1 and TX, TY, TZ_Gear_1. The corresponding force and torque vectors applied on Gear 2 can be plotted as FX, FY, FZ_Gear_2 and TX, TY, TZ_Gear_2. The resulting force and torque vectors including all components from contact, damping and friction are located in the Total Force and Torque group.

The result of Tooth_xx_Sliding_Vel expresses the maximum magnitude of sliding velocity vector over the tooth contact area. The negative sign indicates that teeth are meshing in the approach portion of the line of action while positive sign indicates the teeth are meshing in the recess portion. This sign convention also holds for the results of the friction force magnitude per tooth Tooth_xx_Fm_Frict and friction torque magnitude per tooth Tooth_xx_Tz_Frict. The sign of the friction force (torque) magnitude acting on a tooth during approach action is negative because it opposes the torque exerted by the working force vector; so it opposes, rather than helps the action. During recess, the friction force (torque) vector is in the same direction as the torque exerted by the working force, aiding the rotation of the gear wheel.

 

Results of Transition_TZ and Transition_Delta_WZ should help to set the damping ratio and end time for the damping as described in Gear AT Force.

Result of Transmission_Error (TE) in general expresses the difference between ideal and actual gear ratio of the gear pair. The TE value is calculated in angular units and typically for output wheel of a gear pair. The TE would be zero for geometrically ideal involute profiles and rigid gear wheels.

 

One can express the value as output wheel angle – ideal output wheel angle. The value is calculated for gear wheels of a gear pair by Equation  (35) and Equation  (36) and can be found labeled as Gear_1_TE_Angle and Gear_2_TE_Angle. Phi means rotation angle.

 

Following results of Full Flex Gear element comprised in the Gear_def_Tooth_0 results group represent deformation of flexible wheel body under the middle tooth in contact. Translational deformations refer to the radial and tangential axes layed over the center of contact area of tooth_0 - Figure 308 - whereas angular deformations refer to X-axis, Y-axis and Z-axis of the contact coordinate system (CCS).

 

Tan_tdef_Gear_1 / Gear_2 - translational deformation of Tooth_0 along tangential direction

Rad_tdef_Gear_1 / Gear_2 - translational deformation of Tooth_0 along radial direction

Axi_tdef_Gear_1 / Gear_2 - translational deformation of Tooth_0 along axial direction (Z-axis of CCS)

AX_adef_Gear_1 / Gear_2 - angular deformation of Tooth_0 about X-axis of CCS

AY_adef_Gear_1 / Gear_2 - angular deformation of Tooth_0 about Y-axis of CCS

AZ_adef_Gear_1 / Gear_2 - angular deformation of Tooth_0 about Z-axis of CCS

 

 

The Figure 309 and Figure 310 shows results of tangential and radial deformation of light-weight flexible wheel body. It depicts correlation of extreme values of deformation to the location of holes.

 

 

 

Following results of Gear FAST comprised in the results group Kinematics are of special importance. The first 5 results represent normalized translational and rotational displacements and the 6th component shows the normalized perturbation due to torque loading. These requests inform you if the model still operates in valid range of generated data stored in *.hgf file.

 

DX_pert_norm - normalized perturbation along X axis of CCS frame, allowed range < -1.0 , +1.0 >

DY_pert_norm - normalized perturbation along Y axis of CCS frame, allowed range < -1.0 , +1.0 >

DZ_pert_norm - normalized perturbation along Z axis of CCS frame, allowed range < -1.0 , +1.0 >

AX_pert_norm - normalized angular perturbation, allowed range < -1.0 , +1.0 >

PITCH_pert_norm - normalized angular perturbation, allowed range < -1.0 , +1.0 >

 

where :

PITCH_pert_norm = 0.0: neutral position

PITCH_pert_norm = -0.5: starting position

PITCH_pert_norm = 0.5: ending position

 

TZ_pert_norm - normalized torque perturbation, allowed range < -1.0 , +1.0 >

 

PlusMinus - indicates plus (left) or minus (right) flank is in contact