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Depth of dress from Lindsay semiempirical analysis Formula

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Depth of Dress in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece. Check FAQs

a d = ((\frac{Λ t \cdot {d e}^{0.14} \cdot {V b}^{0.47} \cdot {d g}^{0.13} \cdot {N hardness}^{1.42}}{7.93 \cdot 100000 \cdot {(\frac{v w}{v t})}^{0.158} \cdot f^{0.58} \cdot v t}) - 1) \cdot 3 \cdot \frac{f}{4}

a_d - Depth of Dress?Λ_t - Wheel Removal Parameter?d_e - Equivalent Wheel Diameter?V_b - Percentage Volume of Bond Material in Grinding?d_g - Grain Diameter of The Grinding wheel?N_hardness - Rockwell Hardness Number?v_w - Surface Speed of Workpiece?v_t - Surface Speed of Wheel?f - Feed?

Depth of dress from Lindsay semiempirical analysis Example

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Here is how the Depth of dress from Lindsay semiempirical analysis equation looks like with Values.

Here is how the Depth of dress from Lindsay semiempirical analysis equation looks like with Units.

Here is how the Depth of dress from Lindsay semiempirical analysis equation looks like.

0.6577 = ((\frac{2.4 \cdot 40^{0.14} \cdot 16^{0.47} \cdot 7^{0.13} \cdot 20^{1.42}}{7.93 \cdot 100000 \cdot {(\frac{100}{4.8})}^{0.158} \cdot {0.9}^{0.58} \cdot 4.8}) - 1) \cdot 3 \cdot \frac{0.9}{4}

0.6577mm = ((\frac{2.4 \cdot {40mm}^{0.14} \cdot 16^{0.47} \cdot {7mm}^{0.13} \cdot 20^{1.42}}{7.93 \cdot 100000 \cdot {(\frac{100mm/s}{4.8mm/s})}^{0.158} \cdot {0.9mm}^{0.58} \cdot 4.8mm/s}) - 1) \cdot 3 \cdot \frac{0.9mm}{4}

0.6577 = ((\frac{2.4 \cdot 40^{0.14} \cdot 16^{0.47} \cdot 7^{0.13} \cdot 20^{1.42}}{7.93 \cdot 100000 \cdot {(\frac{100}{4.8})}^{0.158} \cdot {0.9}^{0.58} \cdot 4.8}) - 1) \cdot 3 \cdot \frac{0.9}{4}

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Depth of dress from Lindsay semiempirical analysis Solution

Follow our step by step solution on how to calculate Depth of dress from Lindsay semiempirical analysis?

FIRST Step Consider the formula

a d = ((\frac{Λ t \cdot {d e}^{0.14} \cdot {V b}^{0.47} \cdot {d g}^{0.13} \cdot {N hardness}^{1.42}}{7.93 \cdot 100000 \cdot {(\frac{v w}{v t})}^{0.158} \cdot f^{0.58} \cdot v t}) - 1) \cdot 3 \cdot \frac{f}{4}

Next Step Substitute values of Variables

∴

a d = ((\frac{2.4 \cdot {40mm}^{0.14} \cdot 16^{0.47} \cdot {7mm}^{0.13} \cdot 20^{1.42}}{7.93 \cdot 100000 \cdot {(\frac{100mm/s}{4.8mm/s})}^{0.158} \cdot {0.9mm}^{0.58} \cdot 4.8mm/s}) - 1) \cdot 3 \cdot \frac{0.9mm}{4}

Next Step Convert Units

∴

a d = ((\frac{2.4 \cdot {0.04m}^{0.14} \cdot 16^{0.47} \cdot {0.007m}^{0.13} \cdot 20^{1.42}}{7.93 \cdot 100000 \cdot {(\frac{0.1m/s}{0.0048m/s})}^{0.158} \cdot {0.0009m}^{0.58} \cdot 0.0048m/s}) - 1) \cdot 3 \cdot \frac{0.0009m}{4}

Next Step Prepare to Evaluate

∴

a d = ((\frac{2.4 \cdot {0.04}^{0.14} \cdot 16^{0.47} \cdot {0.007}^{0.13} \cdot 20^{1.42}}{7.93 \cdot 100000 \cdot {(\frac{0.1}{0.0048})}^{0.158} \cdot {0.0009}^{0.58} \cdot 0.0048}) - 1) \cdot 3 \cdot \frac{0.0009}{4}

Next Step Evaluate

∴

a d = 0.000657680918744346m

Next Step Convert to Output's Unit

∴

a d = 0.657680918744346mm

LAST Step Rounding Answer

∴

a d = 0.6577mm

Depth of dress from Lindsay semiempirical analysis Formula Elements

Variables

Depth of Dress

Depth of Dress in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece.

Symbol: a_d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Dress

Wheel Removal Parameter

The Wheel Removal Parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.

Symbol: Λ_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wheel Removal Parameter

Equivalent Wheel Diameter

Equivalent Wheel Diameter is the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed.

Symbol: d_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Equivalent Wheel Diameter

Percentage Volume of Bond Material in Grinding

The Percentage Volume of Bond Material in Grinding refers to the proportion of the total volume of the grinding wheel that is occupied by the bond material.

Symbol: V_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Percentage Volume of Bond Material in Grinding

Grain Diameter of The Grinding wheel

Grain Diameter of The Grinding wheel is defined as the actual diameter of the grain of the grinding wheel used in grinding operation.

Symbol: d_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Grain Diameter of The Grinding wheel

Rockwell Hardness Number

The Rockwell Hardness Number is directly related to the indentation hardness of the plastic material (i.e., the higher the reading of Rockwell Hardness Number ,the harder the material is).

Symbol: N_hardness

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rockwell Hardness Number

Surface Speed of Workpiece

Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.

Symbol: v_w

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Surface Speed of Workpiece

Surface Speed of Wheel

Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.

Symbol: v_t

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Surface Speed of Wheel

Feed

The Feed is the distance from the cutting tool advances along the length of the work for every revolution of the spindle.

Symbol: f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Feed

Other formulas in Lindsay Semiempirical Analysis category

Go Wheel removal parameter from Lindsay's semiempirical analysis

Λ t = \frac{7.93 \cdot 100000 \cdot {(\frac{v w}{v t})}^{0.158} \cdot (1 + (4 \cdot \frac{a d}{3 \cdot f})) \cdot f^{0.58} \cdot v t}{{d e}^{0.14} \cdot {V b}^{0.47} \cdot {d g}^{0.13} \cdot {N hardness}^{1.42}}

Go Equivalent wheel diameter from Lindsay's semiempirical analysis

d e = {(\frac{7.93 \cdot 100000 \cdot ({(\frac{v w}{v t})}^{0.158}) \cdot (1 + (4 \cdot \frac{a d}{3 \cdot f})) \cdot f^{0.58} \cdot v t}{Λ t \cdot {V b}^{0.47} \cdot {d g}^{0.13} \cdot {N hardness}^{1.42}})}^{\frac{100}{14}}

How to Evaluate Depth of dress from Lindsay semiempirical analysis?

Depth of dress from Lindsay semiempirical analysis evaluator uses Depth of Dress = (((Wheel Removal Parameter*Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain Diameter of The Grinding wheel^0.13*Rockwell Hardness Number^1.42)/(7.93*100000*(Surface Speed of Workpiece/Surface Speed of Wheel)^0.158*Feed^0.58*Surface Speed of Wheel))-1)*3*Feed/4 to evaluate the Depth of Dress, The Depth of dress from Lindsay semiempirical analysis in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece. Depth of Dress is denoted by a_d symbol.

How to evaluate Depth of dress from Lindsay semiempirical analysis using this online evaluator? To use this online evaluator for Depth of dress from Lindsay semiempirical analysis, enter Wheel Removal Parameter (Λ_t), Equivalent Wheel Diameter (d_e), Percentage Volume of Bond Material in Grinding (V_b), Grain Diameter of The Grinding wheel (d_g), Rockwell Hardness Number (N_hardness), Surface Speed of Workpiece (v_w), Surface Speed of Wheel (v_t) & Feed (f) and hit the calculate button.

FAQs on Depth of dress from Lindsay semiempirical analysis

What is the formula to find Depth of dress from Lindsay semiempirical analysis?

The formula of Depth of dress from Lindsay semiempirical analysis is expressed as Depth of Dress = (((Wheel Removal Parameter*Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain Diameter of The Grinding wheel^0.13*Rockwell Hardness Number^1.42)/(7.93*100000*(Surface Speed of Workpiece/Surface Speed of Wheel)^0.158*Feed^0.58*Surface Speed of Wheel))-1)*3*Feed/4. Here is an example- 657.6809 = (((2.4*0.04^0.14*16^0.47*0.007^0.13*20^1.42)/(7.93*100000*(0.1/0.0048)^0.158*0.0009^0.58*0.0048))-1)*3*0.0009/4.

How to calculate Depth of dress from Lindsay semiempirical analysis?

With Wheel Removal Parameter (Λ_t), Equivalent Wheel Diameter (d_e), Percentage Volume of Bond Material in Grinding (V_b), Grain Diameter of The Grinding wheel (d_g), Rockwell Hardness Number (N_hardness), Surface Speed of Workpiece (v_w), Surface Speed of Wheel (v_t) & Feed (f) we can find Depth of dress from Lindsay semiempirical analysis using the formula - Depth of Dress = (((Wheel Removal Parameter*Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain Diameter of The Grinding wheel^0.13*Rockwell Hardness Number^1.42)/(7.93*100000*(Surface Speed of Workpiece/Surface Speed of Wheel)^0.158*Feed^0.58*Surface Speed of Wheel))-1)*3*Feed/4.

Can the Depth of dress from Lindsay semiempirical analysis be negative?

No, the Depth of dress from Lindsay semiempirical analysis, measured in Length cannot be negative.

Which unit is used to measure Depth of dress from Lindsay semiempirical analysis?

Depth of dress from Lindsay semiempirical analysis is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Depth of dress from Lindsay semiempirical analysis can be measured.

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Depth of dress from Lindsay semiempirical analysis Formula

Depth of dress from Lindsay semiempirical analysis Example

Depth of dress from Lindsay semiempirical analysis Solution

Depth of dress from Lindsay semiempirical analysis Formula Elements

Other formulas in Lindsay Semiempirical Analysis category

How to Evaluate Depth of dress from Lindsay semiempirical analysis?

FAQs on Depth of dress from Lindsay semiempirical analysis

Variable Name