Search course

Use the search function to find more information about the study programmes and courses available at Chalmers. When there is a course homepage, a house symbol is shown that leads to this page.

Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
TME230 - Structural dynamics - model validation
Strukturdynamisk modellvalidering
Syllabus adopted 2014-02-20 by Head of Programme (or corresponding)
Owner: MPAME
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: Second-cycle
Major subject: Mechanical Engineering, Civil and Environmental Engineering

Teaching language: English
Application code: 03119
Open for exchange students: Yes
Block schedule: B
Maximum participants: 20

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0111 Examination 7,5 c Grading: TH   7,5 c   Contact examiner,  Contact examiner,  Contact examiner

In programs

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


Thomas Abrahamsson

  Go to Course Homepage


General entry requirements for Master's level (second cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

English 6 (or by other approved means with the equivalent proficiency level)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

Courses in fundamental FEM and structural dynamics


To teach the use of model validation in computational structural dynamics, absolutely
necessary in aeronautical applications and very useful in many other disciplines.

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

Explain the use of validated computational models and define criteria for validation.
Set up and conduct validating vibration testing.
Screen test data for possible errors.
Calibrate structural dynamics computational models with test data using optimization of parameterized models.
Validate models using complementary tests. All steps for validation shall be undertaken and reported by each student.


State-space representation. Observability and controllability. Process noise and signal noise. Statistical distribution of physical properties. Individual's behavior compared to nominal's behavior. Pretest planning, method of effective independence. Identifiability of parameters, Fisher's information theorem. Parameter estimation, Cramer-Rao parameter estimation bounds. System identification, state-space sub-space identification method. Vibration measurement, sensors and data acquisition systems. Experimental modal analysis, theory and practice, set-up, pitfalls. Expansion of experimental modes. Frequency response function estimates, filters. Tests with stepped-sine, swept-sine, random and transient excitations. Correlation criteria. Verification, calibration, validation. Calibration and validation metrics. Gauss-Newton minimization, regularization, Levenberg-Marquardt's method. Over-parameterization, parameter Hessian, Akaike's criterion.


Lectures and excercise classes give theory. Computer assignments for pre-test planning, post-test screening, calibration and updating with commercial FE software and Matlab. Laboratory test.


Thomas Abrahamsson: Calibration and Validation of Structural Dynamics Models, Chalmers Applied Mechanics, Publication 2012-1, 2012

Examination including compulsory elements

Compulsory assignments reported on individual basis.

Page manager Published: Thu 04 Feb 2021.