K5301010 Dynamics of Vibrations II

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School School of Engineering

Lecture Code K5301010 Subject Classification Specialized Education

Subject Name 機械力学II

Subject Name
（Katakana）キカイリキガク　２

Subject Name in
English Dynamics of Vibrations II

Instructor KIKUUWE RYO

Instructor
(Katakana) キクウエ　リョウ

Campus Higashi-Hiroshima Semester/Term 3rd-Year,  First Semester,  1Term

Days, Periods, and Classrooms (1T) Mon5-8：ENG 115

Lesson Style Lecture Lesson Style
(More Details) 　

Lecture

Credits 2.0 Class Hours/Week 　 Language of Instruction J : Japanese

Course Level 3 : Undergraduate High-Intermediate

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 09 : Mechanical Engineering

Eligible Students

Keywords

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students)
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) Program of Mechanical Systems Engineering
（Abilities and Skills）
・Acquring basis of mechanical system engineering steadily and developing the applied skill.

Program of Material Processing
（Abilities and Skills）
・Acquiring basis of mechanical system, material creation and processing engineering steadily, and being able to apply

Program of Energy Transform Engineering
（Abilities and Skills）
・Acquring basis of mechanical system engineering steadily and developing the applied skill.

Class Objectives
/Class Outline The course extends the knowledge of “Dynamics of Vibration I” and studies vibrations in multi-degree-of-freedom (MDOF) systems, continuous systems, and rotating shaft systems. The course focuses on the following topics:
1) How to derive equations of motion for multi-degree-of-freedom systems according to both Newton’s law of motion and Lagrange’s equations
2) How to derive equations of motion for continuous systems and determine their solutions
3) Mode of vibrations in MDOF systems
4) Principles of Finite Element Methods (FEMs) and the application for vibration analysis
5) Self-excited vibrations and parametric resonances
6) Vibrations in rotating shaft systems

Class Schedule Lecture 1: Equations of Motion for MDOF Systems, Mass and Stiffness Matrices
Lecture 2: Free Vibration of MDOF Systems (Natural Frequencies, Vibration Modes)
Lecture 3: Orthogonality of Vibration Modes, Modal Equations of Motion
Lecture 4: Free Vibration of MDOF Systems (Initial Conditions and Kinetic Energy)
Lecture 5: Forced Vibration of MDOF Systems
Lecture 6: Vibration of Continuum Systems (Strings)
Lecture 7: Exercise Problems
Lecture 8: Mid-Term Examination
Lecture 9: Vibration of Continuum Systems (Orthogonality of Mode Functions)
Lecture 10: Vibration of Continuum Systems (Forced Vibration)
Lecture 11: Vibration of Continuum Systems (Beams)
Lecture 12: Analytical Mechanics
Lecture 13: Vibration Analysis Using FEM (Strings and Beams)
Lecture 14: Self-Excited Vibration, Parametric Resonance,  Vibration of Rotating Systems
Lecture 15: Exercise Problems

Mid-term and end-term examinations will be held. Report assignments will also be given.

Text/Reference
Books,etc. Textbook：Yasuda, K., Revised version, “Shindoukougaku-Kisohen”, Corona Publishing co., LTD

PC or AV used in
Class,etc. 　

(More Details)

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review   Students should steadily work on exercise problems assigned each week. Engage your imagination to discover links between equations and real-world physics, rather than merely getting absorbed in manipulating equations.
  It is strongly recommended that the students use Mathematica, which is freely available for Hiroshima University students. Install it through the instructions on the following page:
https://www.media.hiroshima-u.ac.jp/services/license/mathematica/

Requirements

Grading Method Grading will be made by the mid-term (40%) and end-term (40%) examinations and the reports (20%). Credits will be given to students who get a score over 60%.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other

Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching.

Academic Year	2024Year	School/Graduate School	School of Engineering
Lecture Code	K5301010	Subject Classification	Specialized Education
Subject Name	機械力学II
Subject Name （Katakana）	キカイリキガク　２
Subject Name in English	Dynamics of Vibrations II
Instructor	KIKUUWE RYO
Instructor (Katakana)	キクウエ　リョウ
Campus	Higashi-Hiroshima	Semester/Term	3rd-Year, First Semester, 1Term
Days, Periods, and Classrooms	(1T) Mon5-8：ENG 115
Lesson Style	Lecture	Lesson Style (More Details)
Lecture
Credits	2.0	Class Hours/Week		Language of Instruction	J : Japanese
Course Level	3 : Undergraduate High-Intermediate
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	09 : Mechanical Engineering
Eligible Students
Keywords
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)
Criterion referenced Evaluation (Applicable only to targeted subjects for undergraduate students)	Program of Mechanical Systems Engineering （Abilities and Skills）・Acquring basis of mechanical system engineering steadily and developing the applied skill. Program of Material Processing （Abilities and Skills）・Acquiring basis of mechanical system, material creation and processing engineering steadily, and being able to apply Program of Energy Transform Engineering （Abilities and Skills）・Acquring basis of mechanical system engineering steadily and developing the applied skill.
Class Objectives /Class Outline	The course extends the knowledge of “Dynamics of Vibration I” and studies vibrations in multi-degree-of-freedom (MDOF) systems, continuous systems, and rotating shaft systems. The course focuses on the following topics: 1) How to derive equations of motion for multi-degree-of-freedom systems according to both Newton’s law of motion and Lagrange’s equations 2) How to derive equations of motion for continuous systems and determine their solutions 3) Mode of vibrations in MDOF systems 4) Principles of Finite Element Methods (FEMs) and the application for vibration analysis 5) Self-excited vibrations and parametric resonances 6) Vibrations in rotating shaft systems
Class Schedule	Lecture 1: Equations of Motion for MDOF Systems, Mass and Stiffness Matrices Lecture 2: Free Vibration of MDOF Systems (Natural Frequencies, Vibration Modes) Lecture 3: Orthogonality of Vibration Modes, Modal Equations of Motion Lecture 4: Free Vibration of MDOF Systems (Initial Conditions and Kinetic Energy) Lecture 5: Forced Vibration of MDOF Systems Lecture 6: Vibration of Continuum Systems (Strings) Lecture 7: Exercise Problems Lecture 8: Mid-Term Examination Lecture 9: Vibration of Continuum Systems (Orthogonality of Mode Functions) Lecture 10: Vibration of Continuum Systems (Forced Vibration) Lecture 11: Vibration of Continuum Systems (Beams) Lecture 12: Analytical Mechanics Lecture 13: Vibration Analysis Using FEM (Strings and Beams) Lecture 14: Self-Excited Vibration, Parametric Resonance, Vibration of Rotating Systems Lecture 15: Exercise Problems Mid-term and end-term examinations will be held. Report assignments will also be given.
Text/Reference Books,etc.	Textbook：Yasuda, K., Revised version, “Shindoukougaku-Kisohen”, Corona Publishing co., LTD
PC or AV used in Class,etc.
(More Details)
Learning techniques to be incorporated
Suggestions on Preparation and Review	Students should steadily work on exercise problems assigned each week. Engage your imagination to discover links between equations and real-world physics, rather than merely getting absorbed in manipulating equations. It is strongly recommended that the students use Mathematica, which is freely available for Hiroshima University students. Install it through the instructions on the following page: https://www.media.hiroshima-u.ac.jp/services/license/mathematica/
Requirements
Grading Method	Grading will be made by the mid-term (40%) and end-term (40%) examinations and the reports (20%). Credits will be given to students who get a score over 60%.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other
Please fill in the class improvement questionnaire which is carried out on all classes. Instructors will reflect on your feedback and utilize the information for improving their teaching.

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