Hiroshima University Syllabus |

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

EnglishDynamics 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

ProgramCriterion referenced

EvaluationProgram 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 OutlineThe 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 isolationClass 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

ReviewIn 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.