# How to Calculate Wheel Life in a Creep-Feed Grinding Process

For non-continuous-dress creep-feed grinding, the calculation is straightforward. For continuous dressing, the calculation has more steps, but in either case, it is possible to manage the cost of grinding by predicting the life of the wheel.

Taqwa Gilani

Corporate Application Engineer, *Norton Saint-Gobain*

## Related Topics:

Creep-feed grinding is a form of precision grinding that has proven to be a great development in modern grinding technology. As compared to conventional surface grinding, it provides excellent potential to increase productivity and improve dimensional accuracy. Creep-feed grinding is characterized by heavy stock removal, frequently greater than 0.030 inch or 2 mm of stock removal per pass. The purpose of this article is to demonstrate the calculation of wheel life in creep-feed grinding. Calculating wheel life is essential for forecasting wheel usage and the abrasive costs associated with a grinding process. In order to calculate the wheel life, it is essential to know which dressing methodology is being used. There are two types of dressing methods that can be used in a creep-feed grinding process:

1. *Non-continuous dressing*, in which an overhead or table-mounted diamond dresser is used to plunge or traverse-dress the form into the wheel intermittently. The dress amount is programmed in inches or millimeters.

2. *Continuous dressing*, which is beneficial in large-quantity production in materials that are difficult to machine or grind. The continuous dressing enables the grinding wheel to stay sharp constantly, while maintaining intricate forms. Continuous-dress creep-feed grinding uses an overhead diamond dressing roll to plunge dress continuously during the grinding cycle. The dress amount is programmed in inches or millimeters per revolution of the wheel.

## Wheel Life Calculation in Non-Continuous-Dress (NCD) Creep-Feed Grinding

Wheel life in NCD creep-feed is the usable abrasive divided by the dress amount per part. Here are some representative process data to illustrate a NCD creep-feed grinding calculation:

- Max. diameter of wheel: 16 inch
- Min. diameter of wheel: 10.5 inch
- Usable abrasive (radial): (16 – 10.5) / 2 = 2.75 inches
- Dress amount per part (radial): 0.006 inch

Wheel life is then 2.75 / 0.006 = 458 parts per wheel.

## Wheel Life Calculation in Continuous-Dress (CD) Creep-Feed Grinding

Wheel life in CD creep-feed grinding is the usable abrasive divided by wheel wear per grind cycle. Here is how to calculate wheel wear per grinding cycle:

### 1. Wheel Speed

Most creep-feed machines have a variable-speed motor to ensure that the speed of the grinding wheel in surface feet per minute (sfpm) remains constant throughout the life of the wheel. Constant sfpm is essential to ensure optimal wheel life. Decreased sfpm will result in fewer cutting edges engaged per unit time of grinding, causing higher load on each individual grain. This results in increased friability of grains, causing premature wheel breakdown. As the wheel gets smaller, the sfpm stays constant, so the revolutions per minute (rpm) will increase. The dressing roll feeds a certain depth into the wheel per revolution. Hence, the dressing amount increases as the wheel gets smaller. Therefore, to calculate average wheel life, we account for rpm at half the wheel diameter:

*Average rpm = sfpm / (π/12 × DH)*

*Wheel diameter at half of wheel life (DH) (in inches) = Start Dia. – ((Start Dia. – Min. Dia.) / 2)*

### 2. Wheel Travel

In CD creep-feed grinding, the diamond roll starts dressing the wheel as soon as the grinding wheel starts moving. Therefore, the wheel in-feed length, popularly known as wheel travel, is taken into consideration for calculating the dress amount per cycle. As the wheel gets smaller, the amount of clearance necessary to avoid a crash between the wheel and the part decreases. Most machines automatically take that into consideration. As the wheel gets smaller, the starting position of the wheel is closer to the workpiece, which means the wheel travel decreases. Therefore, the half-life wheel diameter is used to calculate the average wheel life.

Three entities make the wheel travel:

- Grind length of the workpiece
- Half-chord length at full arc of contact (L)
- Security length

In order to calculate the half-chord length at full arc of contact, we need to know the depth of cut (DOC) of the workpiece and the radius (r) of the wheel.

We can use a basic geometrical formula derived from the Pythagorean Theorem utilizing the DOC, radius of the wheel and the half-chord length at full arc of contact to calculate in-feed length (L). See figure:

### 3. Wheel Wear

The formula to calculate the wheel wear is:

*Wheel Wear per Grind Cycle = Continuous Dress Amount per Revolution of the Wheel (CD) × rpm × Wheel Travel / Table Speed*

### 4. Wheel Life

Now we can calculate the wheel life:

*Wheel Life = Usable Abrasive / Wheel Wear per Grind Cycle*

Where…

*Usable Abrasive = (Max. diameter of wheel – Min. diameter of wheel) / 2 *

### Example

Assume these data for a representative CD process:

- Max. diameter of wheel: 16 inches
- Min. diameter of wheel: 10.5 inches
- Wheel speed: 2,500 sfpm
- CD amount per revolution: 0.00002 inch
- Table speed: 8 ipm
- Grind length: 2 inches
- Security length: 0.1 inch
- Depth of cut: 0.075 inch

Therefore:

DH = 16 *– *((16 *– *10.5) / 2) = 13.25 inches

r = 13.25 / 2 = 6.625 inches

x = 6.625 *– 0*.075 = 6.55 inches

L = √(r^2 *– *x^2) = 0.99 inch

Total Travel = 2 + 0.99 + 0.1 = 3.09 inches

rpm = (2,500 × 12) / (13.25 × π) = 721

Wheel wear per grind cycle = (0.00002 × 721 × 3.09) / 8 = 0.00557 inch

Usable abrasive = (16 *– *10.5) / 2 = 2.75 inches

Wheel life = 2.75 / 0.00557 = 493 parts/wheel

## Conclusion

This article describes how the life of a wheel can be determined in a creep-feed grinding operation. Calculating wheel life is essential for forecasting wheel usage and the abrasive costs associated with a grinding process. In order to calculate the wheel life, it is essential to know which dressing methodology is being used. Wheel life is calculated by dividing the usable abrasive by wheel wear. Calculating wheel wear in a continuous-dress creep-feed grinding operation is complicated. The dressing amount is programmed per revolution of the wheel. The number of revolutions the wheel completes per cycle is dependent on the wheel diameter, wheel speed in sfpm, the grinding length, the depth of cut and the table speed.