Fundamentals of Mechanical Vibrations

Course title

A0070100

Click to show questionnaire result at 2017

Course description

Students who completes this course will analyze free and forced vibrations of single degree of freedom (DOF) systems and will develop mathematical techniques to model mechanical systems.

Purpose of class

The objective for this course is for students to have a clear understanding of vibrations. Students will analyze free and forced vibrations of single degree of freedom system and will develop mathematical techniques to model mechanical systems. Topics include free vibration, forced vibration, natural frequency and resonance.

Goals and objectives

To model mechanical systems
To apply principles of mechanical vibrations such as Newton’s second law and the principle of conservation of energy to the mathematical models to obtain their governing equations of motion
To obtain the natural and damped frequency for the single degree of freedom system
To obtain response of the single degree of freedom system to harmonic excitation
To solve the equations of motion for two important cases of rotating unbalance and base-excitation

Language

Japanese

Class schedule

	Class schedule	HW assignments (Including preparation and review of the class.)	Amount of Time Required
1.	Fundamental concepts in vibration and modeling ・Introduction to mechanical vibration ・Introduction to modeling and analysis	Review how to obtain the equation of motion．	100minutes
2.	Harmonic vibration ・Frequency, amplitude, period and phase angle	Make sure students have read chapters 1&2 (pp.1-20).	100minutes
2.		Solve the problems written in the handout.	90minutes
3.	Free vibration of undamped single DOF systems (1) ・Derivation the equation of motion of a single-degree-of-freedom system using Newton’s second law	Make sure students have read chapters 3 (pp.24-28).	100minutes
3.		Solve the problems written in the handout.	90minutes
4.	Free vibration of undamped single DOF systems (2) ・Translational and rotational motions	Make sure students have read chapters 3 (pp.29-35).	100minutes
4.		Solve the problems written in the handout.	90minutes
5.	Free vibration of undamped single DOF systems (3) ・Rayleigh’s Energy Method	Make sure students have read chapters 3 (pp.36-41).	100minutes
5.		Solve the problems written in the handout.	90minutes
6.	Midterm Exam 1	Review for Midterm Exam 1.	150minutes
6.	Midterm Exam 1	Solve the problems written in the handout.	70minutes
7.	Free vibration of viscously damped SDOF systems (1) ・Damping ratio and damped natural frequency ・Response of viscous damped system	Make sure students have read chapters 3 (pp.41-48).	100minutes
7.		Solve the problems written in the handout.	90minutes
8.	Free vibration of viscously damped SDOF systems (2) ・Logarithmic decrement ・Coulomb damping	Make sure students have read chapters 3 (pp.49-53).	100minutes
8.		Solve the problems written in the handout.	90minutes
9.	Harmonically forced SDOF systems (1) ・Steady state solution with viscous damping due to harmonic force	Make sure students have read chapters 4 (pp.58-63).	100minutes
9.		Solve the problems written in the handout.	90minutes
10.	Harmonically forced SDOF systems (2) ・Steady state solution with viscous damping due to harmonic force	Make sure students have read chapters 4 (pp.64-67).	100minutes
10.		Solve the problems written in the handout.	90minutes
11.	Harmonically forced SDOF systems (3) ・Reciprocating and rotating unbalance	Make sure students have read chapters 4 (pp.67-77).	100minutes
11.		Solve the problems written in the handout.	90minutes
12.	Midterm Exam 2	Review for Midterm Exam 2.	150minutes
12.	Midterm Exam 2	Solve the problems written in the handout.	70minutes
13.	Harmonically forced SDOF systems (4) ・Base excitation ・Vibration isolation	Make sure students have read chapters 4 (pp.77-81).	100minutes
13.		Solve the problems written in the handout.	90minutes
14.	Final Exam	Review what students learn in this course.	220minutes
Total.	-	-	2660minutes

Relationship between 'Goals and Objectives' and 'Course Outcomes'

	Midterm Exam 1	Midterm Exam 2	Final Exam	Total.
1.	10%	0%	10%	20%
2.	10%	0%	10%	20%
3.	10%	0%	10%	20%
4.	0%	10%	10%	20%
5.	0%	10%	10%	20%
Total.	30%	20%	50%	-

Evaluation method and criteria

The grade weights are
Mid-term exam 1:　20%
Mid-term exam 2:　20%
Final exam: 60%

Scored larger than 60 points will be passed.

Textbooks and reference materials

・教科書：岩田，佐伯，小松崎「機械振動学」(数理工学社)
・参考書：岩田，佐伯，小松崎「基礎演習　機械振動学」(数理工学社)
　　　　　その他，機械力学，振動工学に関する図書．

Prerequisites

Students are required to review how to obtain equation of motion.

Office hours and How to contact professors for questions

30 minutes before and after the lecture

Relation to the environment

Non-environment-related course

Regionally-oriented

Non-regionally-oriented course

Development of social and professional independence

Course that cultivates an ability for utilizing knowledge

Active-learning course

About half of the classes are interactive

Last modified : Wed Oct 17 06:21:53 JST 2018