TMR4222 - Mechanical Vibration and Thermal Systems


Examination arrangement

Examination arrangement: Portfolio assessment
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
work 30/100
Written examination 70/100 4 hours D

Course content

Introduction to machinery dynamics, vibration and vibration isolation, and condition monitoring as part of maintenance management. Torsional vibration, modelling and analysis including lateral vibration of shafts. Thermal engineering basics - heat transfer, heat exchangers, system design and energy optimization. Introduction to thermodynamic condition monitoring of machinery systems and main machinery in particular.

Learning outcome

At the completion of the subject, students should be able to:

Machinery dynamics and vibrations:

- Understand and assess the importance of vibrations in different types of machinery for marine applications and the connection between vibration and operation.
- Carry out modeling of typical mechanical systems for vibration analysis and to understand critical vibration phenomena.
- Understand the description of typical vibration elements and to develop the equations of motion for a mechanical vibration systems using Newton’s laws and Lagrange’s method for
- Free and forced vibrations
- Damped and un-damped vibrations
- Systems with one or multiple degrees of freedom
- Find the natural frequencies, eigenvectors and the frequency response of a vibration systems using linear algebra and Laplace transforms, including finding the response of transient or impulse excitations on the system.
- Solve the general equation of motion using analytical methods and Matlab/Maple or similar software.
- Use the solutions of the equations of motion for a vibration system to analyze resilient mounting of machinery equipment and vibration isolation.
- Understand the steps involved and solution of the equation of motion for torsional vibrations analysis of propulsion system, including modeling of piston engines, shafts, gearboxes, clutches, flexible couplings and propellers.
- Understand and carry out simplified analysis of lateral vibrations in rotors and shafts.
- Understand the importance of maintenance management and the relationship to condition monitoring.
- Understand the principles and methods for vibration measurement, selected fault mechanisms experienced in rotating machinery and how to use vibration measurements for condition monitoring.
- Know about typical class rules for approval of vibrations in machinery systems.

Heat transfer and thermal systems:

- Understand and assess the importance of heat transfer and thermal systems in relation to safe and economical operation of marine machinery systems.
- Be able to perform computation of temperature history and energy requirement by tank heating when considering heat loss to the environment.
- To explain the general equation of heat conduction, and perform computation of stead state conduction in one dimension. Heat conduction in composite plane and cylindrical walls.
- To compute convective heat transfer by natural and forced convection, and total heat transfer between two fluids.
- To describe the functions of heat exchangers and be able to compute heat flow rate and temperatures in heat exchangers. Be familiar with the terms mean logarithmic temperature difference and effectiveness of heat exchangers, and use these terms in computation of the performance of heat exchangers.
- To perform design calculations of heat exchangers in typical auxiliary systems for marine machinery plants:
- Cooling water system for diesel engines
- Lubricating oil system for diesel engines
- Fuel oil treatment system
- Steam boilers and steam systems
- Evaporator systems for production of fresh water from seawater
- Assess possibilities for energy recovery, for example by the use of exhaust boiler and turbo generator.
- Understand the principles behind thermodynamic condition monitoring of machinery systems with a special focus on main propulsion engines.
- To understand the concept of humid air, and to perform computations of energy and mass balance by means of Mollier diagram and steam tables. To employ these principles in analysis of air conditioning systems.

Learning methods and activities

Lectures, exercises, computer exercises, lab and project work. All lectures will be in English.

Compulsory assignments

  • Exercises, project- laboratory work

Further on evaluation

Portfolio assessment is the basis for the grade in the course. The portfolio includes a final written exam (70%) and exercises (30%). The results for the parts are given in %-scores, while the entire portfolio is assigned a letter grade.
Examination papers will be given in English only. Students are free to choose Norwegian or English for written assessments.
Postponed/repeated exams may be oral.
For a re-take of an examination, all assessments during the course must be re-taken.

Specific conditions

Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.

Course materials

To be stated at semester start.

More on the course



Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  SPRING 2021

No.of lecture hours: 4
Lab hours: 6
No.of specialization hours: 2

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Marine Cybernetics
  • Operation technology
  • Internal Combustion Engines
  • Marine System Design
  • Marine Engineering
  • Marine Topics
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Marine Technology



Examination arrangement: Portfolio assessment

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Spring ORD work 30/100
Room Building Number of candidates
Spring ORD Written examination 70/100 D
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

More on examinations at NTNU