Duration
26h Th, 26h Pr, 30h Proj.
Number of credits
Lecturer
Language(s) of instruction
English language
Organisation and examination
Teaching in the first semester, review in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
This course provides a comprehensive introduction to experimental modal analysis, a key technique in structural dynamics and mechanical vibration analysis. It focuses on understanding the dynamic properties of structures and systems through experimental testing and data analysis. Topics include vibration theory, instrumentation, data acquisition, signal processing, modal parameter extraction, and validation of modal models. Practical applications in mechanical, aerospace, civil engineering, and other fields will be emphasized.
Course Structure :
- Introduction to Modal Analysis: Overview, Applications, and History
- Fundamentals of Vibrations and Theoretical Modal Analysis: Single and Multi-degree-of-Freedom Systems, Natural Frequencies, Damping
- Instrumentation for Modal Testing: Sensors, Exciters, Data Acquisition Systems, Calibration Techniques
- Data Acquisition and Signal Processing: power spectral density, discrete Fourier transform, FFT algorithm, digital spectrum analyzers, aliasing and leakage phenomena.
- Modal Parameter Extraction Methods: Curve Fitting, Peak Picking, Complex Mode Indicator Function (CMIF)
- Advanced Modal Parameter Extraction: PolyMAX, Stochastic Subspace Identification (SSI)
- Experimental Modal Analysis Procedures: Test Planning, Setup, Measurement Techniques, Data Validation
- Modal Model Validation and Correlation: Modal Assurance Criteria (MAC), Orthogonality Checks
- Use of modal parameters
- Finite Element Model Updating Using Experimental Data: Theory and Practical Approaches
- Operational Modal Analysis: Ambient Vibration Testing, Output-Only Techniques, Applications
- Hands-On Modal Testing: conducting experiments on an aircraft mock-up
Learning outcomes of the learning unit
The aim of the course is to train students to use vibration measurement equipment in laboratories, to acquire, process and exploit the vibratory signals as well as modal identification methods, comparison techniques between theoretical and experimental results and parametric correction methods for structural models on the basis of experimental results.
Prerequisite knowledge and skills
- Fundamentals of Vibrations (course MECA0029)
- Mechanical Systems Dynamics
- Basic knowledge of the finite element method
- Basic Knowledge of Signal Processing and MATLAB/Python
Planned learning activities and teaching methods
The lab sessions are organised in groups and upon appointment only.
The assistant leads the first session, which is aimed at allowing students to familiarise themselves with the measuring equipment available in the laboratory. During the following sessions, students work independently on a real lattice-work type of structure or an airplane mock-up.
An individual report has to be handed in within a set deadline to be agreed upon with the students. It must include:
- the detailed description of the measurements made in the laboratory on the test structure,
- the development and application of two modal parameter identification methods (mode, frequency and damping) of the structure based on the experimental results obtained,
- exploitation of a finite element model of the structure tested in the MATLAB/PYTHON and Siemens NX
- the qualitative and quantitative comparison between theoretical and experimental results.
Mode of delivery (face to face, distance learning, hybrid learning)
Face-to-face course
Course materials and recommended or required readings
Platform(s) used for course materials:
- eCampus
Further information:
The lecture notes and the course slides are available online on ecampus. The notes and the slides are regularly updated and will be available before each lecture.
Recommended references:
- P. Avitabile, Modal Testing: a Practitioner's guide, Wiley, 2018, ISBN 1119222893
- D. J. Ewins, Modal Testing: Theory, Practice and Application, Research Studies Press Ltd., 2000, ISBN 0-86380-218-4
Exam(s) in session
Any session
- In-person
written exam ( open-ended questions ) AND oral exam
Written work / report
Further information:
The final grade will be based on the project report, its presentation and the written exam:
1. The grade of the project report will be based on the results and the quality of the report (scientific and technical content, conciseness, structuring of the written report and clarity of the text). An oral presentation will be organised at the end of the project.
2. The written exam will consist in answering to questions related to the theoretical concepts presented during the lectures. No document is allowed for the exam.
Student assessment criteria:
- Project report: 75%.
- Exam: 25%.
Final note = (Project)^(0.75) * (Exam)^(0.25)
Work placement(s)
Organisational remarks and main changes to the course
The course's organisation is presented in detail during the first lecture.
Contacts
Loïc Salles l.salles@uliege.be
Assistant: Olivier Devigne o.devigne@uliege.be