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.


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: 14.09.2021 - 26.10.2021

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Jani Romanoff

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


  • 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 o

  • 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


Study Material
  • valid for whole curriculum period:

    Lecture notes

    Selected articles

    J.J.H. Brouwers, Stochastic Processes in Mechanical Engineering , Eindhoven University of Technology

    Naess, A. and Moan, T. Stochastic Dynamics of Marine Structures , Cambridge University Press 


Substitutes for Courses
SDG: Sustainable Development Goals

    7 Affordable and Clean Energy

    8 Decent Work and Economic Growth

    11 Sustainable Cities and Communities

    13 Climate Action

    14 Life Below Water

    15 Life on Land


Further Information
  • valid for whole curriculum period:

    Teaching Period:

    2020-2021 Autumn I

    2021-2022 Autumn I

    Course Homepage:

    Registration for Courses: In the academic year 2021-2022, registration for courses will take place on Sisu ( instead of WebOodi.