Applied Physics ⅡB

Course Information

College	Gunma College	Year	2024
Course Title	Applied Physics ⅡB
Course Code	4K031	Course Category	Specialized / Compulsory
Class Format	Lecture	Credits	School Credit: 1
Department	物質工学科	Student Grade	4th
Term	Second Semester	Classes per Week	2
Textbook and/or Teaching Materials	M. OGATA, SHINDOU HADOU, Shokabo [in Japanese]
Instructor	SAIKA Yohei,OHMAMEUDA Toshiaki

Course Objectives

The goals of this course are to
□ write the equation motion of a mass point in a multi-degree-of-freedom system.
□ solve the equation of motion and find the normal mode.
□ analyze vibrations in a continuum using Fourier analysis.
□ apply these knowledge to real phenomena.

Rubric

	Ideal Level	Standard Level	Unacceptable Level
Achievement 1	derive and solve simple harmonic equations of motion.	solve simple harmonic equations of motion.	not solve simple harmonic equations of motion.
Achievement 2	solve the equation of motion of coupled vibration with two degrees of freedom, and to obtain the normal modes.	solve the equation of motion of coupled vibration with two degrees of freedom.	not solve the equation of motion of coupled vibration with two degrees of freedom.
Achievement 3	solve equations of motion for coupled vibrations with multiple degrees of freedom, and to obtain normal modes.	solve equations of motion for coupled vibrations with multiple degrees of freedom.	not solve equations of motion for coupled vibrations with multiple degrees of freedom.
Achievement 4	solve the equation of motion of a continuum, and to expressed using a Fourier series.	solve the equation of motion of a continuum.	not solve the equation of motion of a continuum.

Teaching Method

Outline:

Learn the basic theory of linear vibration and wave phenomena. The learning level is beginner class of science and engineering departments of university.

Style:

Classroom

Notice:

Prerequisites are the contents of 1st year Basic Mechanics, 2nd year Physics, and 3rd year Applied Physics I. If you have not learned enough of these, please review them thoroughly.

Course Plan

			Theme	Goals
2nd Semester
	3rd Quarter
		1st	Simple harmonic motion (1)	Solution of simple harmonic equation of motion
		2nd	Simple harmonic motion (2)	Principle of superposition, vibrations in potential
		3rd	Vibration with 2 degrees of freedom (1)	Complex motion of a system with 2 degrees of freedom, modes of vibration
		4th	Vibration with 2 degrees of freedom (2)	Coupled vibration
		5th	Vibration with 2 degrees of freedom (3)	Common methods for finding modes
		6th	Vibration with 2 degrees of freedom (4)	Beat
		7th	Vibration with multiple degrees of freedom (1)	Coupled vibration with 3 degrees of freedom
		8th	midterm exam
	4th Quarter
		9th	Vibration with multiple degrees of freedom (2)	Modes of systems with many degrees of freedom
		10th	Vibration with multiple degrees of freedom (3)	Distribution
		11th	Vibration of continuous media (1)	Continuum equation of motion
		12th	Vibration of continuous media (2)	mode of string vibration
		13th	Vibration of continuous media (3)	Fourier series
		14th	Vibration of continuous media (4)	Fourier series, relationship between a system with N degrees of freedom and a continuum
		15th	Final exam
		16th	supplement

Evaluation Method and Weight (%)

	Examination	Assignment	Mutual Evaluations between students	Behavior	Portfolio	Other	Total
Subtotal	100	0	0	0	0	0	100
First semester	0	0	0	0	0	0	0
Second semester	100	0	0	0	0	0	100