Course syllabus for Structural dynamics - model validation

Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).

Overview

  • Swedish nameStrukturdynamisk modellvalidering
  • CodeTME230
  • Credits7.5 Credits
  • OwnerMPAME
  • Education cycleSecond-cycle
  • Main field of studyMechanical Engineering, Civil and Environmental Engineering
  • DepartmentMECHANICS AND MARITIME SCIENCES
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language English
  • Application code 03115
  • Maximum participants20
  • Block schedule
  • Open for exchange studentsYes

Credit distribution

0111 Examination 7.5 c
Grading: TH		7.5 c0 c0 c0 c0 c0 c
  • Contact examiner
  • Contact examiner
  • Contact examiner

In programmes

Examiner

  • Thomas Abrahamsson
Go to coursepage (Opens in new tab)

Eligibility

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

Aim

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.

Content

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.

Organisation

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.

Literature

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.

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.