### MEC-E1030 - Random Loads and Processes D, Lecture, 5.9.2023-17.10.2023

Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

#### LEARNING OUTCOMES

The aim of the course is to introduce the student to theoretical treatment random (stochastic) processes such as loads due to wave and wind on structures. After the course the student knows basics of probability concepts and how these are applied in mechanics; knows the random variables and how various probability distributions are connected; can apply time-domain measurements and convert them to frequency domain to define load spectrum in (spectral analysis) and can estimate the probability of exceedance of certain load from the load spectrum (extreme values). In addition the student can define the response (e.g. stress) for linear system (transfer function).

Credits: 5

Schedule:

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Mashrura Musharraf

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

##### Content
• valid for whole curriculum period:

General description of random variables and their properties and continuous and discrete probability distributions. Introduction to random vibrations. Fourier-transformation of for random vibrations. Single degree of freedom system in frequency domain. Gaussian signal in time domain. Random vibrations of beams and strings. Peak and extreme value statistics.

##### Assessment Methods and Criteria
• valid for whole curriculum period:

The course utilizes problem-based-learning concept. The aim of the course is to identify, categorize, analyse and synthesize the random loads for selected engineering application. Tis goal is acchieved through 5 steps which include the identification of the problem, characterization of the environment, analysing the response for random exitation, definition of the short and long term responses and statistics (fatigue and ultimate limit states). Each week we define a subtask to be solved, lectures will be given and we conclude the week on question hour where students can ask questions related to their projects. Each week the student groups (3-5 persons) return a written report showing in the form of living document that build the course report in steps. The weekly submissions will be graded from 1-5.

The weekly submissions will contribute up to 40% of the course grade, while the final summaririzing submission gives 10%. The remaining 50% of the grade is defined by the final ex

• valid for whole curriculum period:

Lectures: 20h (2 x 2h/week, 10 sessions)

Instructed exercises: 5 (1 x 1h/week, 5 sessions)

Home assignments: 50 (5 x 10hours/week)

Studying materials: 50 (5 x 10hours/week)

Preparing for exams: 10 hours

#### DETAILS

##### Substitutes for Courses
• valid for whole curriculum period:

##### Prerequisites
• valid for whole curriculum period:

##### SDG: Sustainable Development Goals

7 Affordable and Clean Energy

9 Industry, Innovation and Infrastructure

13 Climate Action

14 Life Below Water

15 Life on Land

#### FURTHER INFORMATION

##### Further Information
• valid for whole curriculum period:

Teaching Language : English

Teaching Period : 2022-2023 Autumn I - II
2023-2024 Autumn I - II

Enrollment :

Registration for the course will take place on Sisu (sisu.aalto.fi).