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Tolerancing.pdf

Tolerancing.pdf

Tolerancing

Exercise

• Ten blocks are stacked on top of each other

• The Specification for the stack is 100 +/- 10

• What is the specification for an individual block?

• Simulate the results assuming• Normal distribution with Cpk of 1.33

• What specification is required if a Cpk of 1.33 is desired?• What could cause this to be incorrect?

Exercise – Strain Energy in a Solid Shaft

• Units

• U = Strain energy due to torsion

• T = torque

• L = length

• G = shear modulus

• r = radius

• Inputs

• T = normal, mean = 2000

• L = normal, mean = 100

• G = normal, mean = 994718.4

• r = normal, mean = 4

• Question

• 0.46 < U < 0.54

• Process s for T is 11

• Process s for L is 0.53

• Determine specifications for each input

• Allocate variance equally given no process information

• Compare to worst case tolerance

4

2

rG

LTU

=

Useful Practices for Input Variation

• Inputs from production variation

• Estimate variation statistically

• Identify the shape of the distribution from process knowledge

• Assume that long-term, there will be more variation than what is typically measured in a short-term data collection

• Inputs representing a range of usage

• Assume the worst case can happen

• Analyse at the extremes of the conditions

• Treat it as a mean shift and not as a random variable

• Inputs representing aging or deterioration

• Assume the worst case can happen

• Analyse at the extremes of the conditions

• Treat it as a mean shift and not as a random variable

Useful Practices for Input Variation – Examples

• Example production variation

• A device dispenses a coating material,

• The volume of material is affected by its heater temperature,

• The temperature is centered by computer control,

• Average temperature is 35°C, standard deviation is 1°C,

• Analyse with temperature as a normal distribution.

• Example range of usage

• A car radio is expected to work from -20°C to 120°C

• Analyze the radio performance twice, once at each temperature extreme

• Don’t treat temperature as a random variable with a uniform distribution

• This would assume you are designing for an “average” environment, with occasional excursions to the extremes,

• In fact, you are covering the full range of expected usage conditions.

Useful Practices for Input Variation – Examples• Example aging or deterioration

• The performance of a capacitor will degrade over time,

• Supplier expects 13% loss in capacitance over the life,

• The manufacturing tolerance is ±5%,

• Supplier’s capability is Ppk=2.0, s=5%/6 = 0.83%

• Do statistical analysis twice, at the extremes of capacitance:

• Statistical tolerance for new parts at nominal capacitance ands = 0.83%

• Statistical tolerance for aged parts at deteriorated capacitance ands = 0.83%

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NB

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By clіckіng ‘PRОCEED TО CHECKОUT’ yоu wіll be lоgged іn tо yоur accоunt autоmatіcally where yоu can vіew yоur оrder detaіls. At the bоttоm оf yоur оrder detaіls, yоu wіll see the ‘Checkоut” buttоn and a checkоut іmage that hіghlіght pоssіble mоdes оf payment. Clіck the checkоut buttоn, and іt wіll redіrect yоu tо a PayPal page frоm where yоu can chооse yоur payment оptіоn frоm the fоllоwіng;

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Regards,

Custоmer Suppоrt

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