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2017　Advanced Course of Mechanical Vibration

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Academic unit or major
Common Course of Mechanical Engineering
Instructor(s)
Okuma Masaaki  Iwatsuki Nobuyuki  Takahara Hiroki 
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Mon1-2(I124)  
Group
-
Course number
ZSK.D410
Credits
2
Academic year
2017
Offered quarter
3-4Q
Syllabus updated
2017/9/6
Lecture notes updated
-
Language used
English
Access Index

Course description and aims

【Course description】
This course deals with basic concepts and recent developments related to mechanical vibrations, structural dynamics, acoustics, and vibration control. The course aim and the course plan are as follows.

【Aims】
The course aims that the students learn basic concepts and recent developments related to mechanical vibrations, structural dynamics, acoustics, and vibration control.

Student learning outcomes

By the end of this course, students will be able to:
1) Understand natural frequency of single degree of freedom systems, frequency response, resonance, transmissibility(vibration isolation), complex vector, etc., and solve actual vibration problems．
2) Understand coupled natural frequencies and natural modes of two degrees of freedom systems, and explain the concept of modal analysis.
3) Understand principles of dynamic absorber, and derive their optimum parameters with the fixed points theory.
4) Understand natural frequencies and eigenmodes of continuum system.

Keywords

Free vibration and forced vibration for single degree of freedom systems，Response characteristics of single degree of freedom systems subjected to harmonic excitation，Coupled natural frequencies and natural modes of two degree of freedom systems，Dynamic absorber, distributed parameter system

Competencies that will be developed

✔ Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

At the beginning of each class, solutions to exercise problems that were assigned in the previous class are reviewed. Towards the end of class, students are given exercise problems related to the lecture given that day to solve. To prepare for the class, students should read the course schedule section and check what topics will be covered. Required learning should be completed outside of the classroom for preparation and review purposes.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Importance of Mechanical vibration - Brief review of the research and development Understanding of the importance of mechanical vibration and the history of the research
Class 2 Vibration of single-DOF vibration system - Undamped single-DOF vibration system Derive equation of motion, free vibration solution and natural angular frequency for undamped single degree freedom systems
Class 3 Vibration of single-DOF vibration system - Damped single-DOF vibration system Derive equation of motion and its solution for damped single degree freedom systems. Explain critical damping and damped natural angular frequency
Class 4 Vibration of single-DOF vibration system - Theoretical and experimental modeling into single-DOF vibration system Understand theoretical and experimental modeling into single-DOF vibration system
Class 5 Vibration of single-DOF vibration system - Fundamental of vibration suppression techniques Understand fundamental of vibration suppression techniques
Class 6 Vibration of multi-DOF vibration system - Modal analysis of two-DOF vibration system Express equations of motion of two degrees of freedom systems using modal coordinate
Class 7 Vibration of multi-DOF vibration system - Forced vibration analysis of two-DOF vibration system Derive time responses and frequency response of two degrees of freedom systems
Class 8 Vibration of multi-DOF vibration system - Dynamic absorber Understand principles of dynamic absorber, and derive their optimum parameters with the fixed points theory
Class 9 Vibration of multi-DOF vibration system - Modal analysis of multi-DOF system Understand modal analysis of multi-DOF system
Class 10 Vibration of multi-DOF vibration system - Review of the first half of the course (classes 6–9) and a short test for checking intelligibility Solve exercise problems related to the contents of this course from class 6 to class 9
Class 11 Vibration of continuum system - Lateral vibration of strings Obtain natural frequencies and eigenmodes of a string
Class 12 Vibration of continuum system - Lateral vibration of Beams Obtain natural frequencies and eigenmodes of a beam
Class 13 Vibration of continuum system - Lateral vibration of rectangular membranes Obtain natural frequencies and eigenmodes of a rectangular membrane
Class 14 Vibration of continuum system - Lateral vibration of circular membranes Obtain natural frequencies and eigenmodes of a circular membrane
Class 15 Vibration of continuum system - a short test for checking intelligibility Solve exercise problems related to the contents of this course from class 11 to class 14

Textbook(s)

Several materials will be distributed.

Reference books, course materials, etc.

McGraw-Hill Education (ISE Editions),『Fundamentals of vibrations』,ISBN13:978-0071219839
J. P. Den Hartog, "Mechanical vibrations"
大熊政明、構造動力学（Structual Dynamics)、朝倉書店

Assessment criteria and methods

Midterm exams by each lecturer, exercise and report for some assignments.

Related courses

  • MEC.A201 ： Engineering Mechanics
  • MEC.B211 ： Ordinary Differential Equations
  • MEC.B212 ： Complex Function Theory

Prerequisites (i.e., required knowledge, skills, courses, etc.)

No prerequisites.

Office hours

Contact by e-mail in advance to schedule an appointment.

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