固體中的波傳播

Wave Propagation in Solids

學期

113-2

學分

3 學分

當期課號

536215

永久課號

ENCV30086

開課單位

土木工程學系

授課教師

潘爾年

校區

光復

類別

選修

上課時間表

節	週三
2 09:00–09:50	固體中的波傳播 EB108 3 節連堂
3 10:10–11:00
4 11:10–12:00

* 根據陽明交大上課時間表所列

概述

This course is to introduce the fundamental principles governing wave motions in solids. Students will be introduced to the mathematical formulations of the governing equations of wave motion, analytical and numerical techniques of solving these equations. Waves in layered systems will be particularly analyzed for applications in engineering and geophysics. Students should be highly motivated to search and study some of the classic papers related to waves, including Rayleigh wave, Love wave, Stoneley wave, Lamb wave among others.

先修科目

Graduate standing or consent of instructor

教學方式

Follow the requirements

評分方式

In the attached DPF

週次計畫

週次	主題
第 1 週	1D Motion and deformation; Time rate of change
第 2 週	Conservation of mass and balance of momentum; Time harmonic wave and its energy flux
第 3 週	3D Kinematics and dynamics; Stresses, strains and their relationship; Equations of equilibrium
第 4 週	3D Initial and boundary conditions; Hamilton's principle
第 5 週	Displacement potentials
第 6 週	Reciprocity relations; Scalar and vector potentials; Helmholtz decomposition
第 7 週	Basic singular solutions in elastodynamics
第 8 週	Integral representations
第 9 週	Mid-term presentation 1
第 10 週	Mid-term presentation 2
第 11 週	Spherical and plane waves; Slowness diagram; Propagation of wave front
第 12 週	Introduction: Wave in layered systems
第 13 週	Systems of vector functions
第 14 週	Reflection and transmission
第 15 週	Love, Rayleigh and Stoneley Waves; Guided waves
第 16 週	Layer matrix and propagation

教科書

Achenbach, J. D. (1973): Wave Propagation in Elastic Solids (1st Ed). North-Holland Publishing Company. Graff, Karl F. (1975); Wave Motion in Elastic Solids. Ohio State University Press. Recent papers on wave motions

Office Hours

地點: Engineering Building #2, Room 306
時間: Office hours: Friday: 16:20pm-
聯絡方式: ernianpan@nycu.edu.tw