Vibration phenomena are observed in nature and in daily life. They are related to the performance, efficiency and safety of machines and structures. Learning the theory of vibrations is useful and necessary to understand the characteristics of various kinds of vibration phenomena, solve the vibration problems in engineering and also design the use of vibrations. This course covers from single to multi degree of freedom systems and continuous systems. The course focuses on considering the underlying principles and the characteristics of vibrations of each system.
By the end of this course, the students will be able to:
1) Understand the basic concepts of vibrations
2) Learn the systematic approach to vibrations.
3) Explain the characteristics of various kinds of vibration phenomena.
Vibration Phenomena, Free Vibration, Forced Vibration, Transient Vibration, Parametric Vibration, Single Degree of Freedom Systems,
Multi Degree of Freedom Systems, Continuous Systems, Advanced Vibrations
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||Practical and/or problem-solving skills|
At the beginning of each class, the points of the previous class are reviewed. Towards the end of class, the subjects planned on that day will be explained and discussed.
|Course schedule||Required learning|
|Class 1||Introduction to Vibration －Vibration, Harmonic motion||Various kinds of vibration phenomena|
|Class 2||Single Degree of Freedom Systems: Undamped Free Vibrations －Various oscillatory systems, Natural frequency||Characteristics of free vibrations|
|Class 3||Single Degree of Freedom Systems: Damped Free Vibrations －Resistance force and damping, Damping ratio, Logarithmic decrement||Characteristics of damped free vibrations|
|Class 4||Single Degree of Freedom Systems: Forced Vibration ・Vibration response to harmonic excitatios, Resonance, Transmissibility||Characteristics of vibration response to harmonic excitations|
|Class 5||Single Degree of Freedom Systems: Forced Vibration (Base Displacement Excitations) －Vibrometer and seismogragh||Characteristics of vibration response to base displacement excitations, Principle of vibrometer|
|Class 6||Single Degree of Freedom Systems: Vibration of Rotating Shaft －Critical speed, Whirling motion||Various kinds of rotating machines|
|Class 7||Single Degree of Freedom Systems: Transient Vibration －Impulse response, Step response, Response to pulse excitations||Characteristics of transient vibration|
|Class 8||Two Degree of Freedom Systems: Free Vibrations －Coupled vibration, Coupled natural frequencies, Principal vibrations||Characteristics of coupled vibration|
|Class 9||Two Degree of Freedom Systems: Forced Vibration －Mass-spring system, Damped system, Dynamic vibration absorber||Characteristics of forced vibration, Principle of dynamic vibration absorber|
|Class 10||Multi Degree of Freedom Systems: Free Vibrations －Natural vibration mode||Natural vibration mode|
|Class 11||Multi Degree of Freedom Systems: Forced Vibration －Modal analysis||Modal analysis|
|Class 12||Vibration of Continuous Systems －From system with MDOF to continuous, Various continuous systems||Expression of vibration of continuous systems|
|Class 13||Vibration of Continuous Systems －Vibration of string, Bending vibration of beam||Characteristics of vibration of continuous systems|
|Class 14||Parametric Vibrations －Parametrically excited systems, Simple example||Characteristics of parametric vibrations|
|Class 15||Advanced Vibrations －Flow induced vibrations, aseismic design, nonlinear oscillation, random vibration and so on||Vibrations in various research fields|
1) Students will be assessed on their understanding of the basic theory and its application associated with vibrations.
2) Students’ course scores are based on final exam and exercise reports.