## Course Title : Wave Motions for Engineering

Code 31550 3rd year 2nd semester in 2018 Monday・4 Research Bldg. No.8,Kogishitsu4 2 No Restriction Lecture Japanese H. Mikada,J. Takekawa,

### Course Description

All the attendance students understand correctly vibration and the wave motion phenomenon which are seen by the nature, and put on the practical skills which are needed by resource engineering.　Learn about the wave motion in the elastic body and electromagnetic waves which spreads the underground. This knowledge becomes important for engineers in resource engineering field. Furthermore, in order to understand the micro phenomenon which is needed by oil engineering, the first step about the wave motion of quantum mechanics is described. Although the lesson is based on a lecture, an understanding is deepened by studying an exercise problem according to circumstances.

Although experimental mark is based on fundamental score, attendance to a lesson and report results may be taken into consideration.

### Course Goals

Students will be able to manipulate vibrations and wave motion phenomena freely using mathematical formula. Moreover, the ability to explain vibration and wave motion phenomena is mastered during this class.

### Course Topics

Theme Class number of times Description
Simple harmonic motion and its superposition 1 The oscillating phenomenon and the wave motion phenomena of appearing in the resource engineering are described focusing on using examples. Furthermore, simple harmonic motion and its superposition are described.
Damping oscillation, forced oscillation, and coupled vibration 3 An attenuation coefficient is defined about the damping oscillation of one degree of freedom, and it finds for an oscillatory wave form. Furthermore, after finding for the resonance curve and phase curve to harmony wave external force and clarifying a frequency response characteristic, vibration is described when two or more vibration systems are interacting mutually.
The traverse wave which spreads the string 1 A one-dimensional wave equation is drawn taking the case of a string, and the character of a wave is stated.
Analytic Mechinics 2 The analytic mechanics which is needed when you understand the mathematical principle of a wave motion phenomena is described, and the solution by the Lagrange equation of an oscillating phenomenon is described.
Elastic Waves 2 About the wave motion which spreads an elastic body, from the equation of motion of an elastic body, a wave equation is drawn and existence of a longitudinal wave and a traverse wave is described. Furthermore, the distributed phenomenon is described about a surface wave.
Electromagnetic Waves 2 From Maxwell's equation, the wave equation with which an electromagnetism phenomenon follows is drawn, and the solution is described.
Diffraction Phnonena 2 The diffraction phenomena of a wave are described using Kirchhoff's integration theorem.
Numerical Simulation of Wave Phenomena 1 The fundamentals of numerical methods are introduced to simulate wave phenomena.
Check of Progress Furthermore, the degree of study achievement is checked about whether an understanding of the wave phenomenon progressed through this whole lecture.

### Textbook(supplemental)

Walter Fox Smith, Waves and Oscillations, Oxford University Press ### Prerequisite(s)

Vector Analysis, Classical Dynamics, Electromagnetics