NUMERICAL METHODS IN VIBRATION
| Title | ΑΡΙΘΜΗΤΙΚΕΣ ΜΕΘΟΔΟΙ ΣΕ ΤΑΛΑΝΤΩΣΕΙΣ ΜΗΧΑΝΟΛΟΓΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ / NUMERICAL METHODS IN VIBRATION |
| Code | 360 |
| Faculty | Engineering |
| School | Mechanical Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Sotirios Natsiavas |
| Common | Yes |
| Status | Active |
| Course ID | 20000452 |
Programme of Study: UPS of School of Mechanical Engineering
Registered students: 20
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Energy | Elective Course belonging to the selected specialization (Elective Specialization Course) | 9 | 5 | 5 |
| Design and Structures | Compulsory Course belonging to the selected specialization (Compulsory Specialization Course) | 9 | 5 | 5 |
| Academic Year | 2020 – 2021 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Class ID | 600171011
|
Course Type 2016-2020
- Background
- Scientific Area
Course Type 2011-2015
Knowledge Deepening / Consolidation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600171011
- eLearning:
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
Required Courses
- 201 STRENGTH OF MECHANICAL STRUCTURES
- 108 STATICS
- 112 MECHANICS OF MATERIALS
- 116 DYNAMICS
- 124 MECHANICAL VIBRATION AND MACHINE DYNAMICS
- 214 STRUCTURAL DYNAMICS
- 101 CALCULUS I (MATHEMATICS I)
- 106 CALCULUS II (MATHEMATICS II)
- 111 DIFFERENTIAL EQUATIONS (MATHEMATICS III)
- 120 NUMERICAL ANALYSIS
- 131 LINEAR ALGEBRA
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Adapt to new situations
- Make decisions
- Work autonomously
- Work in teams
- Work in an international context
- Work in an interdisciplinary team
- Advance free, creative and causative thinking
Course Content (Syllabus)
Analytical Dynamics: generalized coordinates, motion constraints, principle of virtual work, Lagrange’s equations, Hamilton’s principle, Hamilton’s canonical equations.
Numerical solution of systems of linear and nonlinear algebraic equations (determination of static response, kinematics of mechanisms, direct determination of periodic steady-state motions).
Numerical integration of the equations and equations of motion of mechanical systems and structures (systems of differential equations and differential-algebraic equations).
Evaluation of natural frequencies and modes of complex structures.
Applications from the area of rigid body dynamics and machine dynamics (mass balancing of reciprocating engines, power flow smoothing – flywheels, application of multibody dynamics software).
Educational Material Types
- Notes
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Laboratory Teaching
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 48 | 1.6 | ✓ | ||
| Laboratory Work | 12 | 0.4 | ✓ | ||
| Project | 90 | 3 | ✓ | ||
| Total | 150 | 5 |
Student Assessment
Student Assessment methods
- Written Exam with Short Answer Questions (Formative)
- Written Assignment (Formative)
- Oral Exams (Formative)
- Written Exam with Problem Solving (Formative)
Bibliography
Course Bibliography (Eudoxus)
Σ. Νατσιάβας, “Ταλαντώσεις Δυναμικών Συστημάτων με μη Γραμμικά Χαρακτηριστικά,” Εκδόσεις Ζήτη, Θεσσαλονίκη, 2000.
Σ. Νατσιάβας, “Εφαρμοσμένη Δυναμική,” Εκδόσεις Ζήτη, Θεσσαλονίκη, 1999.
Ε. Παπαμίχος, “Αριθμητικές μέθοδοι επίλυσης διαφορικών εξισώσεων με εφαρμογές στη μηχανική,” Εκδόσεις Α. ΤΖΙΟΛΑ & ΥΙΟΙ Α.Ε., Θεσσαλονίκη, 2005.
C. Pozrikidis, “Αριθμητικές υπολογιστικές μέθοδοι στην επιστήμη και τη μηχανική,” Εκδόσεις Α. ΤΖΙΟΛΑ & ΥΙΟΙ Α.Ε., Θεσσαλονίκη, 2006.
Additional bibliography for study
Bauchau, O.A., 2011. Flexible Multibody Dynamics. Springer Science+Business Media B.V., London.
Geradin, M., Cardona, A., 2001. Flexible Multibody Dynamics. John Wiley & Sons, New York.
Greenwood, D.T., 1988. Principles of Dynamics. Prentice-Hall Inc., Englewood Cliffs, New Jersey.
Nayfeh, A.H., Balachandran, B., 1995. Applied Nonlinear Dynamics. Wiley-Interscience, New York.
Shabana, A.A., 2005. Dynamics of Multibody Systems, third ed. Cambridge University Press, New York.
Last Update
18-08-2020
