Hiroshima University Syllabus

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Japanese
Academic Year 2022Year School/Graduate School School of Engineering
Lecture Code K5019010 Subject Classification Specialized Education
Subject Name 機械力学I
Subject Name
(Katakana)
キカイリキガク 1
Subject Name in
English
Dynamics of Vibrations I
Instructor KIKUUWE RYO
Instructor
(Katakana)
キクウエ リョウ
Campus Higashi-Hiroshima Semester/Term 2nd-Year,  Second Semester,  3Term
Days, Periods, and Classrooms (3T) Weds1-4:ENG 220
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 Newton's Laws of Motion; Free Vibration; Natural Frequency; Forced Vibration; Resonance 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Program
 
Criterion referenced
Evaluation
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 goal of this subject is to study the fundamental knowledge of vibrations in linear mechanical systems with a single and two degrees of freedom (SDOF and 2DOF systems).
Students are required to understand the following contents:
1) How to derive equations of motion according to Newton’s second law of motion
2) Free vibrations in SDOF and 2DOF systems without/with damping
3) Forced vibrations in SDOF and 2DOF systems without/with damping
4) Principles of vibration isolation 
Class Schedule Lesson 1: Introduction to Mechanical Vibrations
Lesson 2: Newton’s Laws of Motion
Lesson 3: Single Degree-of-Freedom (SDOF) System, Free Vibration, Translation Movement
Lesson 4: Single Degree-of-Freedom (SDOF) System, Free Vibration, Rotation Movement
Lesson 5: Forced Vibrations in the Cases of Sinusoidal Excitations by External Force and Base Displacement (Resonance, Resonance Curve)
Lesson 6: Principle of Vibration Instruments (Vibrometer, Accelerometer)
Lesson 7: SDOF System with Damping (Damping Force, Free Vibration, Damping Ratio)
Lesson 8: Logarithmic Decrement, Forced Vibration due to Sinusoidal Excitation (Resonance, Half-Power Method)
Lesson 9: Practice and Mid-Term Examination
Lesson 10: Forced Vibration in Damped SDOF System (Transmissibilities of Force and Displacement, Vibration Isolation), 2DOF System without Damping (1) (Equation of Motion, Free Vibration, Frequency Equation, Natural Frequency, Mode of Vibration)
Lesson 11: 2DOF System without Damping (2), Exercise
Lesson 12: Free Vibration in 2DOF System without Damping (Solution for Initial Condition) , Exercise
Lesson 13: Forced Vibration in 2DOF System without Damping (Resonance, Vibration Absorber)
Lesson 14: Forced Vibration in 2DOF System with Damping (Vibration Absorber, Modeling of 2DOF Systems)
Lesson 15: Modeling of 2DOF Systems

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) Handouts and Exercise problems will be avilable through Microsoft Teams
 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Review
In lesson 1, students know what they study in this subject.
In lesson 2, students study Newton’s laws of motion and how to derive the equations of motion.
In lesson 3, students study the significance of a natural frequency of a free vibration in an SDOF system and how to solve the equation of motion.
In lesson 4, students master how to derive the equation of motion for several SDOF systems.
In lesson 5, students understand how to determine the solution of the forced vibration in a SDOF system subjected to external, sinusoidal force and base excitation.
In lesson 6, students understand the principles of vibration instruments using a vibrometer and an accelerometer
In lesson 7, students study how to determine the solution of the SDOF system with damping and understand the influence of damping
In lesson 8, students understand the logarithmic decrement which means one of the characteristics of damping. They study the resonance when a sinusoidal, external force is subjected to the system with damping
In lesson 9, a mid-term examination is imposed.
In lesson 10, students understand the principle of vibration isolation. They study the equations of motion, the natural frequencies, and the modes of vibration in 2DOF systems without damping.
In lesson 11, students continue to study the contents of lesson 11 through exercises.
In lesson 12, students study how to determine the solutions of free vibrations using initial conditions in 2DOF systems without damping.
In lesson 13, students study how to determine the solutions of forced vibrations in 2DOF systems without damping, and also study dynamic vibration absorbers.
In lesson 14, students study how to determine the solutions of forced vibrations in 2DOF systems with damping, and also study dynamic vibration absorbers.
In lesson 15, students study how to derive equations of motion and their natural frequencies for several 2DOF systems. 
Requirements  
Grading Method Grading will be made based on the written mid-term examination  (40%) and final examination (40%) and the reports (20%). Credits will be given to students who gain scores 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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