# Introduction to Reliability of Mechanical Systems

03 5018

Syllabus: pdf file.

Midterm, moed alef, August and September moed bet exam grades, and final grades: pdf file.

Moed bet (August and September) exam and solutions (in English): pdf file.
Midterm exam and solutions (in English): pdf file.

## Lecture note sections to be covered (links in Lecture Note section below):

Robustness and Opportuneness, pp.3-11: statically loaded beam. Done.

Fourier expansion, example. Exercise problem on Uncertainty, #4. Done.

Robustness and Opportuneness, pp.12-14: statically loaded beam: Done.

Geometry of ellipsoids, example. Exercise problem on Uncertainty, #5a,b:

Robustness and Opportuneness: statically loaded beam, pp.15-17: Done.

Robustness and Opportuneness: vibrating cantilever, pp.27-36: Done.

Performance vs Robustness of a Cantilever. Done.

Two coupled harmonic oscillator example. Done.

Heat conduction example. Done.

Probabilistic failure models. Done

Acceptance testing. Done.

## Lecture Notes

Lecture Notes on Performance vs. Robustness of a Cantilever: pdf file.

Lecture Notes on Info-gap Uncertainty: pdf file.

Lecture notes on robustness and opportuneness: pdf file.

Fourier expansion, example: pdf file.

Geometry of ellipsoids, example: pdf file.

Two coupled harmonic oscillator example: pdf file.

Heat conduction example: pdf file.

Lecture notes on probabilistic failure models: pdf file.

Lecture notes on acceptance testing: pdf file.

Lecture notes on censoring and estimation in statistical sampling: pdf file.

## Homework

89 problems and solutions on Info-Gap Robustness and Opportuneness: pdf file.
12 problems and solutions on Acceptance Tests: pdf file.

15 problems and solutions on Probabilistic Failure Models: pdf file.

HW 1: Statement and solution of problem 63 from Homework Set on Robustness and Opportuneness: pdf file. Discussed at start of class on 27.3.2016.

HW 2: Statement and solution of problem 64 from Homework set on Robustness and Opportuneness: pdf file. Discussed at start of class on 3.4.2016.

HW 3: Statement and solution of problem 65 from Homework set on Robustness and Opportuneness: pdf file. Discussed at start of class on 10.4.2016.

HW 4: Statement and solution of problem 66 from Homework set on Robustness and Opportuneness: pdf file. Discussed at start of class on 17.4.2016.

HW 5: Statement and solution of problem 15 from Homework set on Robustness and Opportuneness: pdf file. Discussed at start of class on 1.5.2016.

HW 6: Statement and solution of problem 59, parts a-f, from Homework set on Robustness and Opportuneness: pdf file. Discussed at start of class on 8.5.2016.

HW 7: Statement and solution of problems 3 and 7, from Homework set on Probabilistic Failure Models: pdf file. To be discussed at start of class on 15.5.2016.

HW 8: Statement and solutions of problems 4 and 8, from Homework set on Probabilistic Failure Models: pdf file. To be discussed at start of class on 22.5.2016.

HW 9: Statement and solution of problem 14 from Homework set on Probabilistic Failure Models: pdf file. To be discussed at start of class on 29.5.2016.

HW 10: Statement and solution of problem 1 from Homework set on Acceptance Tests: pdf file. To be discussed at start of class on 5.6.2016.

HW 11: Statement and solutions of problems 3, 4 and 5 from Homework set on Acceptance Tests: pdf file. Discussed at start of class on 19.6.2016.