Course syllabus adopted 2023-02-12 by Head of Programme (or corresponding).
Overview
- Swedish nameStrukturdynamik: vibrationskontroll
- CodeTME146
- Credits7.5 Credits
- OwnerMPAME
- Education cycleSecond-cycle
- Main field of studyAutomation and Mechatronics Engineering, Mechanical 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 03118
- Maximum participants40 (at least 10% of the seats are reserved for exchange students)
- Block schedule
- Open for exchange studentsYes
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0112 Examination, part A 4.5 c Grading: TH | 4.5 c |
| |||||
| 0212 Laboratory, part B 3 c Grading: UG | 3 c |
In programmes
- MPAME - APPLIED MECHANICS, MSC PROGR, Year 1 (compulsory elective)
- MPAME - APPLIED MECHANICS, MSC PROGR, Year 2 (elective)
- MPMOB - MOBILITY ENGINEERING, MSC PROGR, Year 1 (compulsory elective)
- MPMOB - MOBILITY ENGINEERING, MSC PROGR, Year 2 (elective)
- MPSYS - SYSTEMS, CONTROL AND MECHATRONICS, MSC PROGR, Year 2 (elective)
Examiner
Håkan Johansson- Professor, Dynamics, Mechanics and Maritime Sciences
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
Basic knowledge in mechanics, in particular dynamics of particles and rigid bodies¿ plane motion, some familiarity with state space models and automatic control.Aim
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)
-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 test rigs with modern data acquisition hardware and software;
-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.
Content
Course content comprises the following parts.
Introduction: Supplementary mathematics and mechanics for structural dynamics control. Vibration dynamics modeling 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: 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).
Applications: Vibration control in automotive engineering; wind turbine drive train structural dynamics; vibration control in high speed trains; 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.
Syllabus is linked to the UN Global Sustainability Goals. Knowledge within optimization of control and design of modern technical systems to reduce the system weight, energy consumption, vibrations, etc., gives strong ability to everyone to contribute to Global sustainability goals, for example to "Sustainable industry, innovations and infrastructure" (No. 9) and to "Sustainable Energy for All" (No.7).
Organisation
The course will comprise the following type of activities: lectures including problem solving sessions, computer assignments on vibration dynamics and control with MATLAB/Simulink, and Lab's project on experimental validation of vibration control methods at the Vibrations and Smart Structures Lab of the division of Dynamics.Literature
Berbyuk V., Structural Dynamics and Control, Lecture Notes, Department of Mechanics and Maritime Sciences, Chalmers University of Technology, Göteborg.
Computer Assignments and LabProject in Vibration Control, Hands-On, Department of Mechanics and Maritime Sciences, Chalmers University of Technology.
Lecture Notes will be available before course start for the reasonable student price.Examination including compulsory elements
Laboratory (Project report) (3,0 hec), written exam (4,5 hec).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.