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Departments' graduate courses for PhD-students.


Syllabus for

Academic year
TME145 - Vibration control
Syllabus adopted 2011-02-21 by Head of Programme (or corresponding)
Owner: MPAME
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: Second-cycle
Major subject: Automation and Mechatronics Engineering, Mechanical Engineering, Civil and Environmental Engineering
Department: 42 - APPLIED MECHANICS

Teaching language: English

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0108 Examination 4,5 c Grading: TH   4,5 c   12 Dec 2011 pm M,  Contact examiner
0208 Laboratory 3,0 c Grading: UG   3,0 c    

In programs



Professor  Viktor Berbyuk

Course evaluation:


For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Course specific prerequisites

Basic knowledge in dynamics, vibration and motion control.

Recommended but not mandatory are courses in Applied structural dynamics, Applied mechatronics, Rigid body dynamics, Digital control, Applied signal processing, Sound and vibration measurement, Active noise control.


The course aims at providing knowledge on modern methods and concepts of passive, semi-active and active vibration control, to cross the bridge between the structural dynamics and control engineering, while providing an overview of the potential of smart materials, (magnetorheological fluids, magnetostrictive materials, and piezoceramics), for sensing and actuating purposes in active vibration control. Vibration control applications appear in vehicle engineering, high precision machines and mechanisms, robotics, biomechanics and civil engineering. The focus of the project part of the course is on experimental validation of practical methods, i.e., methods that were found to actually work efficiently for passive and/or active vibration control. The course prepares students to use industry-leading data acquisition hardware and software tools for measurement, signal processing and vibration control.

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

  1. Derive the equations and solve vibration dynamics problems for mechanical systems with conventional springs, dampers and bushings, as well as active functional components like electromagnetomechanical dampers and actuators. Create computer virtual prototype (CVP) of vibrating mechanical systems by using LabVIEW and/or Matlab/Simulink.

  2. Validate the vibration system models, analyze vibration dynamics of the system for different damping concepts, choose appropriate vibration control concept and design optimal vibration control for particular applications by using created CVP together with experimental set up and modern data acquisition hardware (CompactDAQ, CompactRIO).

  3. Understand, explain and apply the physics behind semi-active and active vibration control solutions based on smart material sensor and actuator technologies (magnetorheological fluids, magnetostrictive and piezoelectric materials).

  4. Formulate and solve passive, semi-active as well as active vibration control problems for vibration systems. Evaluate vibration control solutions experimentally.

  5. Carry out vibration dynamics analysis and design vibration control solutions for vibrating systems having applications in automotive industry like chassis and powertrain suspensions, high speed train car-body suspensions, suspension of unbalanced rotors, etc.

  6. Understand that vibrations can be also used for advantage in some applications. Know the basic principles and the state of the art on vibration to electrical energy conversion by using smart material based power harvesting technology.

  7. Show ability to work in teams and collaborate in groups with different compositions. Give written and oral presentations of team/group conclusions and knowledge.


Course content will comprise the following parts.

  1. Introduction. Supplementary mathematics and mechanics for vibration dynamics and control. Vibration dynamics of multibody systems (MBS). State space approach. Mathematical and computational models of vibration dynamics of MBS. Validation and verification of mathematical and computational models. Optimization of vibration dynamics of MBS. National Instruments LabVIEW as an industry-leading software tool for virtual instrumentation and graphical system design, measurements and process control, CompactDAQ, CompactRIO.

  2. Passive vibration control (PVC). Free and forced vibration of mechanical systems. Review of available methods for PVC. Vibration isolation. Conventional mounts and mounting systems. Dynamic vibration absorbers. Tuned mass dampers. Design of optimal dynamic absorbers and tuned mass dampers.

  3. Semi-active vibration control. Smart material technology for vibration control. Magnetorheological fluid based technology for semi-active vibration control. MR tuned mass damper for vibration control. Algorithms for semi-active vibration control.

  4. Active vibration control. Feedback control system. Controllability. Stability. LQR optimization. Variational calculus and optimal vibration control. Active vibration isolation. First integrals method for active vibration control.

  5. Useful vibration. Magnetostrictive and piezoelectric material based technology for vibration to electrical energy conversion (power harvesting from vibration). Models, simulations, experimental validation.

  6. Applications. Vibration control in automotive engineering (vehicle suspensions, engine mounting systems, driveline vibration, vehicle comfort, motion stability and safety); Vibration control in rotor dynamical systems (suspension systems of washing machines); Vibration control in high speed trains (primary and secondary train car-body suspensions); Power harvesting from vibration (magnetostrictive electric sensors and electric generators, smart material based self-powered structural health monitoring systems);Wind turbine drive train vibration dynamics.

Computer assignment and labproject topics will be closed related to the course lectures as well as to the ongoing research projects at the Division of Dynamics with industrial partners (Volvo Truck Corporation, Swedish Wind Power Technological Centre, others).


The course will comprise the following type of activities: lectures, problem solving sessions, computer assignment on vibration dynamics and control with LabVIEW and/or MATLAB/Simulink and labproject on experimental validation of vibration control methods at the Vibrations and Smart Structures Lab of the division of Dynamics. The course will be organized in a way to implement an integrated teaching approach consisting of Theory, Virtual Instrumentation and Graphical System Design, and Experiment, supporting high outcome of learning of vibration control theory and practices and industry-leading software and hardware for designing, measurement and testing.


1. Berbyuk V., Vibration Dynamics and Control, Lecture Notes, Department of Applied Mechanics, Chalmers University of Technology, Göteborg, 3rd eddition, 2010.

2. LabProject in Vibration Control, Hands-On, Department of Applied Mechanics, Chalmers University of Technology, 2011.

3. Introduction to LabVIEW and Computer-Based Measurements, National Instruments, 2007.

All course literatures will be available before course start for the reasonable student price.


Laboratory (Project report) (3,0 hec), written exam (4,5 hec).

Page manager Published: Thu 04 Feb 2021.