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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
TME141 - Structural dynamics  
Syllabus adopted 2014-02-17 by Head of Programme (or corresponding)
Owner: MPAME
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: Second-cycle
Major subject: Mechanical Engineering, Civil and Environmental Engineering
Department: 42 - APPLIED MECHANICS

Teaching language: English
Open for exchange students
Block schedule: C

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0111 Examination 7,5 c Grading: TH   7,5 c   17 Jan 2015 am H,  15 Apr 2015 am V   Contact examiner

In programs

MPAME APPLIED MECHANICS, MSC PROGR, Year 1 (compulsory elective)


Bitr professor  Mikael Enelund
Docent  Peter Folkow


TME140   Applied structural dynamics


In order to be eligible for a second cycle course the applicant needs to fulfil the general and specific entry requirements of the programme that owns the course. (If the second cycle course is owned by a first cycle programme, second cycle entry requirements apply.)
Exemption from the eligibility requirement: Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling these requirements.

Course specific prerequisites

Mathematics, mechanics, strength of materials and a basic course on the Finite Element Method.


Vibration and noise is often an unwanted feature appearing in many technical systems. In order to reduce vibrations and its effects, a thorough knowledge is needed about the generation of vibrations, how they propagate in a structure and radiate into the surroundings as sound. Many structures are constructed of simple elements such as rods, beams, plates and shells.
The course aims at providing knowledge of structural dynamics concepts and presents current methods for solving dynamic problems, such as response of buildings due to wind load, machine vibrations , car body vibrations, and earthquakes.
The main goal of the course is to give a solid foundation on both the basic equations that describe the motion of structural elements, as well as for computer aided engineering within structural dynamics.

Learning outcomes (after completion of the course the student should be able to)

- explain in detail the basic principles on which the structural dynamics methods rely,
- derive the equations of motions for rigid body systems,
- solve stationary and transient problems for MDOF systems,
- solve stationary and transient continous problems using modal analyses,
- apply and explain most used numerical eigenvalue algorithms,
- apply and explain most used direct integration methods,
- use the model reduction methods for large-scale dynamic problem,
- use the finite element method to solve structural dynamics problems.


The course emphasizes on fundamental theory concepts, analytical methods for structural elements and computer aided solutions for structural systems. The following content is covered:
- Fundamental theories and definitions in structural dynamics
- Lagrange equations
- Single and multidegree- of-freedom systems
- Continuous systems; basic equations
- Eigenvalue problems
- Frequency response
- Rayleigh's theorems
- Free and forced vibration
- Orthogonality and mode superposition
- Direct integration methods for FEM models
- Eigenvalue algorithms for FEM models
- Reduction methods for FEM models
- State-space formulation


Lectures, problem solving sessions and assignments.


R.R. Craig, A.J. Kurdila: Fundamentals of Structural Dynamics, 2nd edition, Wiley.
Lecture notes.


Optional weekly individual assignments. Written final 5 hours exam.

Page manager Published: Thu 04 Feb 2021.