LEARNING OUTCOMES
The aim of the course is to introduce the student to theoretical treatment of 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 (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: 03.09.2024 - 03.12.2024
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, ASSESSMENT AND WORKLOAD
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 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. This 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). Every two weeks we define a subtask to be solved, lectures will be given and we have question hour where students can ask questions related to their projects. Every two weeks, 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 bi-weekly submissions will be graded from 1-5.
The bi-weekly assignment submissions will contribute up to 50% of the course grade. The remaining 50% of the grade is defined by the final exam.
Workload
valid for whole curriculum period:
Lectures: 24h (12 x 2h/week)
Home assignments: 50h (5 biweekly assignments, each 10 hr)
Studying materials: 50 h*
Preparing for exam: 10 h*
* A learning diary should easily fit in these 60 hours.There will be optional MATLAB exercise session for students who need assistance with MATLAB.
DETAILS
Study Material
valid for whole curriculum period:
Lecture notes
Selected articles
- J.J.H. Brouwers, ”Stochastic Processes in Mechanical Engineering”, Eindhoven University of Technology
- Newland, D.E., "An Introduction to Random Vibrations, Spectral & Wavelet Analysis: Third Edition (Dover Civil and Mechanical Engineering) Third Edition", Dover Publishing
- Inman, D. J., "Engineering Vibration (3rd edition)", N.J: Prentice Hall
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: 2024-2025 Autumn I - II
2025-2026 Autumn I - IIRegistration:
Registration for the course will take place on Sisu (sisu.aalto.fi).