Hypoid Gear

If Simplified method is selected, the following options will be displayed:

Pressure Angle Single

The pressure angle is the angle between the line of action and the common tangent to the pitch circles at the pitch point is the pressure angle. Enter a real value that defines the gear pressure angle.

Presure Angle Dual

Enter a real value for the Concave and Convex angle.

This will be based on sense of rotation CW or CCW and respective concave or convex flanks contacts each other in a gear pair. The output request takes active flanks in to the consideration.

If the active concave-convex flank pair is considered for force calculation.

Name

Enter the name of the Pinion and Wheel.

Axis of Rotation

Axis of Rotation of Wheel can be one of the following:

Center Location

Enter the coordinates or Pick (Markers, View location and so on.)

Hypoid Offset

Pinion ref. marker is located and orientated relative to the wheel ref. marker.

Enter the Pinion offset (absolute value):

Location orientation of pinion is auto calculated. (The calculated values can be seen in modify mode or database navigator). For given wheel location-orientation, only unique pinion location orientation exists. Hence, 'new-existing' option is disabled for this type. All other spatial orientation of hypoid gear set can be obtained by appropriately specifying the orientation of wheel-ref_marker.

No. of Teeth

Enter the number of teeth for Pinion and Wheel.

Face Width

Enter the face width for Pinion and Wheel.

Bore Radius

Enter the radius for the hole in the Pinion and Wheel (only used for graphics).

Pitch Angle

This defines the angle (delta) of the pitch cone, which is the angle between gear axis and a pitch cone envelope line. It is also known as Reference Cone Angle.

Pitch Apex

Enter the distance (t_z) between pitch cone apex and the crossing point, measured along gear axis. Positive value if pitch cone apex is located beyond the crossing point.

Back Distance

Enter the distance between the tip circle on back cone and the back plane (only used for graphic). Measured along gear axis. It can be calculated as below:

Back Distance = Mounting Distance - Crown to Crossing Point (t_xo) distance

Mean Spiral Angle

Enter the helix angle (beta_m) at the mean cone distance (and at pitch circle).

LH/RH

Select if the Helix Angle should be Left Hand (LH) or Right Hand (RH). The choice decides the sign of the Helix Angle (Left Hand of gear 1 = Positive).

Choose between entering value for Outer Cone Distance, Outer Transversal Module, Mean Cone Distance or Mean Normal Module:

Outer Cone Distance

Enter the distance (R_e) from pitch cone apex to the outer end of the teeths measured along the pitch cone envelope line.

Outer Trans. Module

Enter the value for transversal module (m_et) at the end of the teeth.

Mean Cone Distance

Enter the distance (R_m) from pitch cone apex to the middle of the face width measured along the pitch cone envelope line.

Mean Normal Module

Enter the normal (R_m) module at the middle of the face width.

Geometry Settings

If 3D Contact method is selected, the following options will be displayed:

Pressure Angle Single

The pressure angle is the angle between the line of action and the common tangent to the pitch circles at the pitch point is the pressure angle. Enter a real value that defines the gear pressure angle.

Presure Angle Dual

Enter a real value for the Concave and Convex angle.

No pressure angle calculation is needed for force calculation. It is based on geometry and physical contact.

Name

Enter the name of the Pinion and Wheel gear.

Axis of Rotation

Axis of Rotation of Wheel can be one of the following:

Center Location

Enter the coordinates or Pick (Markers, View location and so on.)

Hypoid Offset

Pinion ref. marker is located and orientated relative to the wheel ref. marker.

Enter the Pinion offset (absolute value):

Location orientation of pinion is auto calculated. (The calculated values can be seen in modify mode or database navigator). For given wheel location-orientation, only unique pinion location orientation exists. Hence, 'new-existing' option is disabled for this type. All other spatial orientation of hypoid gear set can be obtained by appropriately specifying the orientation of wheel-ref_marker.

No. of Teeth

Enter the number of teeth for Pinion and Wheel.

Face Width

Enter the face width for Pinion and Wheel.

Bore Radius

Enter the radius for the hole in the Pinion and Wheel (only used for graphics).

Back Distance

Enter the distance between the tip circle on back cone and the back plane (only used for graphic). Measured along gear axis. It can be calculated as below:

Back Distance = Mounting Distance - Crown to Crossing Point (t_xo) distance

Pitch Angle

This defines the angle (delta) of the pitch cone, which is the angle between gear axis and a pitch cone envelope line. It is also known as Reference Cone Angle.

Pitch Apex

Enter the distance (t_z) between pitch cone apex and the crossing point, measured along gear axis. Positive value if pitch cone apex is located beyond the crossing point.

Mean Spiral Angle

Enter the helix angle (beta_m) at the mean cone distance (and at pitch circle).

LH/RH

Select if the Helix Angle should be Left Hand (LH) or Right Hand (RH). The choice decides the sign of the Helix Angle (Left Hand of gear 1 = Positive).

Choose between entering value for Outer Cone Distance, Outer Transversal Module, Mean Cone Distance or Mean Normal Module:

Outer Cone Distance

Enter the distance (R_e) from pitch cone apex to the outer end of the teeths measured along the pitch cone envelope line.

Outer Trans. Module

Enter the value for transversal module (m_et) at the end of the teeth.

Mean Cone Distance

Enter the distance (R_m) from pitch cone apex to the middle of the face width measured along the pitch cone envelope line.

Mean Normal Module

Enter the normal (R_m) module at the middle of the face width.

Tooth Depth and Width

Select the "Data Type" format option which describes the gear dimensions (tooth depth and width) at Mean Cone Distance according to ISO 23509 - 2006. "Data Type I" is used in European standards while "Data Type II" format is used in AGMA standards.

If Data Type I - ISO 23509 is selected, the following options will be displayed:

Profile Shift Coeff.

Enter a value for profile shift coefficient (x_hm) for the gear (positive or negative value). Default value = 0.0. If this field is left blank, no profile shifting will be used.

Addendum Factor

Enter a value for the addendum factor (k_hap) (default value = 1.0). It is used together with the profile shift coefficient (x_hm) to calculate the height (h_am, mean addendum) by which the gear tooth projects above the pitch cone at mean cone distance.

h_am = m_mn * (k_hap + x_hm)

Dedendum Factor

Enter a value for the dedendum factor (k_hfp) (default value = 1.25). It is used together with the profile shift coefficient to calculate the depth (h_fm, mean dedendum) of the tooth space below the pitch cone at mean cone distance.

h_fm = m_mn * (k_hfp - x_hm)

Thickness Mod. Coeff.

Enter a value for the tooth modification coefficient (x_sm). It is used to calculate the mean normal circular tooth thickness (s_mn) and it should include the backlash.

s_mn = m_mn * (0.5 * pi +2* (x_sm+x_hm * tan (alfa_n))

If Data Type II - ISO 23509 profile is selected, the following options will be displayed:

Mean Addendum Factor

Enter a value for mean addendum factor (c_ham) (default value=0.5). Used together with depth factor (k_d) to calculate the height (h_am, mean addendum) by which the gear tooth projects above the pitch cone.

h_am = c_ham * k_d * m_mn.

Depth Factor

Enter a value for depth factor (k_d) (default value = 2.0). It is used to calculate tooth addendum (h_am), working depth (h_mw) and clearance (c_m).

h_am = c_ham * k_d * m_mn

h_mw = k_d * m_mn

c_m = k_d * k_c * m_mn

Clearance Factor

Enter a value for the clearance factor (k_c) (default value = 0.125) which is used for calculating tooth clearance (c_m).

c_m = k_d * k_c *m_mn

Where m_mn is the normal module at mean cone distance.

Thickness Factor

Enter a value for the thickness factor (k_t) which is used to calculate the mean normal circular tooth thickness (s_mn). It is related to the Thickness Modification Coefficient, see below:

k_t= 2 * x_sm

Geometry Settings