Course syllabus

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TME146 Structural dynamics control lp2 HT20 (7.5 hp)

Course is offered by the department of Mechanics and Maritime Sciences

Contact details

Viktor Berbyuk, Professor – Instructor in total charge, Lecturer, Exercises, Examiner

E-mail: viktor.berbyuk@chalmers.se, Phone:  031-7721516

https://www.chalmers.se/en/Staff/Pages/viktor-berbyuk.aspx (Links to an external site.)

Emil Aggestam, PhD student – Instructor, Computer Assignments, Labprojects

E-mail: emil.aggestam@chalmers.se, Phone: 031-772 19 78

https://www.chalmers.se/sv/sok/Sidor/default.aspx?q=emil+aggestam

Marko Milosevic, PhD student – Instructor, Computer Assignments, Labprojects

E-mail: marko.milosevic@chalmers.se, Phone:  031-772 66 97

https://www.chalmers.se/en/Staff/Pages/marko-milosevic.aspx (Links to an external site.)

Hans Lindell, Lic. Eng., PhD student – Instructor, Labprojects

E-mail: hanslind@chalmers.se

https://www.chalmers.se/en/Staff/Pages/hanslind.aspx (Links to an external site.)

Jan Möller, Research Engineer – Instructor, Labprojects

E-mail: jamo@chalmers.se, Phone:  031-7721371

https://www.chalmers.se/en/staff/Pages/jamo.aspx (Links to an external site.)

Carina Schmidt – Course secretary

E-mail: carina.schmidt@chalmers.se, Phone:  031-7721515

https://www.chalmers.se/en/staff/Pages/carina-schmidt.aspx

Course purpose

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 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.

Schedule

in brief 

 Mondays (November 2 – December 14):                          

  • weeks 45 – 51, 13:00-14:45 – Lectures, on-line by using ZOOM
  • weeks 45 – 51, 15:30-17:15 – Computer assignments remotely by using ZOOM. Students will also have possibility to use PC at the computer rooms MT11 and MT12 remotely or by visiting Campus.         
  • Thursdays (November 5 – December 17):
  • weeks 45 – 51, 07:45-09:30 – Lectures, on-line by using ZOOM
  • weeks 45 – 51, 10:15-12:00 – Computer assignments remotely by using ZOOM. Students will also have possibility to use PC at the computer rooms MT11 and MT12 remotely or by visiting Campus.  

Fridays (November 6 – December 18):

  • weeks 45 – 51, 15:15-17:00 – Problem Solving Sessions remotely by using ZOOM.

  • Course labs will be performed at the Vibration and Smart Structure Lab (VSS Lab) at Campus in groups of max 4 students in the following way and schedule.

    Lab 1: Passive vibration control with test rig 1 at VSS Lab.

    Lab’s Group 1: 16/11 at 15:30 – 17:15; Lab’s Group 2: 19/11 at 10:15-12:00

    Lab’s Group 3: 23/11 at 15:30 – 17:15; Lab’s Group 4: 26/11 at 10:15-12:00

    Lab 2: Semi-active vibration control with test rig 2 at VSS Lab.

    Lab’s Group 1: 30/11 at 15:30 – 17:15; Lab’s Group 2: 03/12 at 10:15-12:00

    Lab’s Group 3: 07/12 at 15:30 – 17:15; Lab’s Group 4: 10/12 at 10:15-12:00

    During the Labs, students and teacher will use visors/face shields, disinfectants, hand sanitizers and paper napkins, all will be available at VSS Lab, and must take care on “social distance”.

Self-studies: December 21-23, 28-30, 2020; January 8, 2021.

Detailed schedule with lectures, assignments and labs contents available via course home page in Canvas

TimeEdit

Course literature

eBook "Structural Dynamics and Control" by V. Berbyuk will be available to download for registered students at Canvas.

Limited number of printed version of the textbook "Structural Dynamics and Control" by V. Berbyuk will be available at CREMONA before course start.

Hands-On for Computer Assignments and lab projects, Department of Mechanics and Maritime Sciences, Chalmers University of Technology, 2020.

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

Course design

Course will comprise the following parts.

Introduction: Supplementary mathematics and mechanics for structural dynamics control. Vibration dynamics modelling and analysis. State space approach. Smart structures and active control of structural dynamics.

Passive control in structural dynamics: Vibration control by parameter optimization. Tuned mass damper technology. Vibration isolation. Dynamic vibration absorbers.

Feedback control and stability of structural dynamics: Review of different control strategies. Lyapunov stability of dynamical systems. Lyapunov equation. Routh-Hurwitz criterion.

Semi-active control in structural dynamics: Controllable stiffness/damping based semi-active vibration control. Continuous and on-off skyhook control strategies for semi-active structural control. Smart materials technology for active structures. Magneto-rheological fluid technology for semi-active structural dynamics control.

 Active control in structural dynamics: The LQR optimization and active vibration control. The variational calculus for optimal structural dynamics control. The first integrals method and active vibration control. The Pontryagin maximum principle for optimal structural dynamics control.

Useful vibration: Magnetostrictive and piezoelectric materials technologies for vibration to electrical energy conversion (power harvesting from vibration). Models, simulations, experimental validation.

Applications: Vibration control in automotive engineering (vehicle suspensions, engine mounting systems, driveline vibration, vehicle comfort, motion stability and safety); Wind turbine drive train structural dynamics; Vibration control in rotor systems; Vibration control in high speed trains (primary and secondary car-body suspensions); Magnetostrictive sensors, actuators and electric generators for active structures, self-powered structural health monitoring systems, others.

Computer assignments and lab project: The 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.

The course comprises the following type of activities:

  • Lectures (4 hours weekly)
  • Exercises, (Problem Solving Sessions, 2 hours weekly)
  • Matlab computer assignments (4 hours weekly)
  • Lab projects on validation of vibration control methods
  • Papers review project, not compulsory
  • Reporting on computer assignments and lab projects
  • Written exam.

During the course teaching  and for communication between teaches and students the following digital tools will be used for: Canvas, ZOOM and e-mail.

Changes made since the last occasion

All lectures and problem solving sessions are prepared to be given on-line by using ZOOM.

Computer assignments as well as lab projects are also will be heavily supported by assistants via ZOOM.

Learning objectives and syllabus

After completion of this course, the student should be able to:

-Derive the equations and solve vibration dynamics problems for controlled multibody systems with springs, dampers and bushings;

-Create mathematical and computational models suitable for structural dynamics control applications;

-Analyze vibration dynamics, dynamic responses of structural systems for different damping concepts and external control;

-Explain in detail the basic principles on which the structural dynamics control methods rely and choose appropriate control strategy for particular applications;

-Formulate and solve passive, semi-active as well as active structural dynamics control problems for vibrating mechanical systems;

-Evaluate vibration control solutions experimentally by using LabVIEW, Matlab/Simulink and test rigs with modern data acquisition hardware (CompactDAQ, CompactRIO);

-Understand, explain and apply the physics behind semi-active and active structural dynamics control solutions based on smart materials sensor and actuator technologies (magnetorheological fluids, magnetostrictive and piezoelectric materials);

-Carry out structural dynamics analysis and design vibration control strategies for vibrating systems having applications in automotive industry (chassis and powertrain suspensions), railway industry (high speed train bogie and car-body suspensions), wind power industry (turbine drive train systems), civil engineering;

-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 materials (power harvesting technology);

-Show ability to work in project team and collaborate in groups with different compositions.

Link to the syllabus on Studieportalen: https://www.student.chalmers.se/sp/course?course_id=31253

Examination form

Computer Assignments and Lab projects work must be approved PRIOR to written exam and will give 3,0 hec. The written exam consists of four problems of the type solved on the problem solving sessions and during the lectures. Each problem on the exam can give maximum 5 points. The papers review project (not compulsory) can give maximum 3 points additionally. The total course mark will be based on results of the reporting of Computer Assignments & lab projects work, the results of written exam and papers review project bonus points. The grades are: 9-13 points give “3”, 14-17 points give “4”, and 18 or more points give “5”. Bonus points are valid for the current course. A student can thus be credited with the bonus points at the ordinary exam and at the two re-examinations of the course.

Aids during the examination            

Students can bring to the exam any books including the textbook “Structural Dynamics Control” by Viktor Berbyuk. Any electronic calculator is allowed but not laptop.

Course summary:

Date Details Due