# FMF3028 Robust and Probabilistic Design 6.0 credits

### Offering and execution

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## Course information

### Content and learning outcomes

#### Course contents *

Engineering statistics: Normal, exponential and Weibull distribution, confidence interval.

Statistical experimental design: physical experiments and simulations, censored and suspended test.

Probabilistic design; Monte Carlo simulations (with Matlab and Ansys) of variation of performance caused by variations in design - manufacturing tolerances, material properties, geometric configuration), user (anthropometric data) and environment parameters (humidity, electromagnetic fields, temperature, dirt).

Robust design; minimise performance variations that is caused by variation of design sparameters, human properties and environment conditions.

#### Intended learning outcomes *

A student who has completed the course should be able to:

• describe characteristic product properties in statistical terms

• estimate the confidence interval for the estimated reliability of a system

• define type of probability distribution for a given amount of data

• describe aim, methodology and result of a statistical experimental design

• create a test plan for a physical and a numerical experiment,

• describe aim and procedure to carry out a Monte Carlo simulation,

• use Monte Carlo simulation to analyse how uncertainty in the model parameters influences the simulation result

• describe the aim for robust design and how the method relates to optimisation methods

• use robust design to decrease the sensitivity of the performance of a product for variations in the parameters of its components

• use robust design to decrease the sensitivity of the performance of a product for variations in the technically interactive parameters of the system

• use robust design to decrease the sensitivity of the interactive performance of a product for variations in the ergonomic parameters of the system.

#### Course Disposition

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### Literature and preparations

#### Recommended prerequisites

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#### Equipment

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#### Literature

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### Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

P, F

#### Examination *

• INL1 - Assignment, 6.0 credits, Grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

#### Opportunity to complete the requirements via supplementary examination

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#### Opportunity to raise an approved grade via renewed examination

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#### Ethical approach *

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

### Further information

#### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web FMF3028

#### Offered by

ITM/Machine Design

#### Main field of study *

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Third cycle