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波傳導
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波傳導
因舊版課程無指定課堂作業與考試,因此統整所有作業、講義、考試內容合併列出。
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第1章:波動問題舉例Chapter 1: Sample Wave Problems 繃緊細繩的橫向振動Transverse Vibration of a Taut String 彈性棒的縱向振動Longitudinal Vibration of an Elastic Rod 高速公路的運輸流量Traffic Flow on a Freeway 動脈中的波傳導Wave Propagation in Arteries 淺水波動和線性化Shallow Water Waves and Linearization 流體中的聲波Sound in Fluids 電波在彈性基礎面上的彎曲波 Flexural Waves in a Beam on an Elastic Foundation |
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第2章:一維波動Chapter 2: One Dimensional Waves 波動方程的基本解法 General Solution to Wave Equation 動脈分枝 Branching of Arteries 有限區域因內部擾動產生的波動 Waves in an Infinite Domain due to Initial Disturbances 淺水波在峭壁處的反射 Reflection of Shallow Water Waves from a Cliff 有限區域的推動波 Forced Waves in an Infinite Domain 彈性環境中的線 String Embedded in an Elastic Surrounding 局部內部擾動的消散 Dispersion from a Localized Initial Disturbance 正弦波的散射 Scattering of Sinusoidal Waves 任意同質散射的基本特性 General Identities in Scattering by Arbitrary in Homogeneities 緩慢變化介質中的折射 Refraction in a Slowly Varying Medium |
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第3章:二維波動 Chapter 3: Two Dimensional Waves 介面處聲波的反射和傳播 Reflection and Transmission of Sound at an Interface 彈性波動方程 Equations for Elastic Waves 有限空間的自由波動 Free Waves in Infinite Space 平板彈性波 Elastic Wave Sin a Plane 在平面邊界處的彈性波動反射 Reflection of Elastic Waves from a Plane Boundary 單頻SH波的散射 Scattering of Monochromatic SH Waves 通過狹長縫隙的SH波的繞射 Diffraction of SH Wave by a Long Crack 瑞利表面波 Rayleigh Surface Waves 因地面負荷傳播產生的彈性波動 Elastic Waves due to a Load Traveling on the Ground Surface 波動的部分展開 Partial Wave Expansion 一種積分的近似值評價 Approximate Evaluation of an Integral |
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第4章:水裏的波動 Chapter 4: Waves in Water 海表面波動的控制方程 Governing Equations for Waves on the Sea Surface 等深海水中的前進波 Progressive Waves on a Sea of Constant Depth 二維障礙物的波阻 Wave Resistance of a Two-dimensional Obstacle 狹窄條帶區基本的消散波 Narrow-banded Dispersive Waves in General 壓力振盪推動的表面波輻射 Radiation of Surface Waves Forced by an Oscillating Pressure Kelvin波形式 The Kelvin Pattern of Ship Wave 二維層化流體內部波的基本理論 Basic Theory for Two-dimensional Internal Waves in a Stratified Fluid 給定N的內部波模式 Internal Waves Modes for Finite N 垂向無邊界流體的內部波 Internal Waves in a Vertically Unbounded Fluid 邊界處的內部波反射 Reflection of Internal Waves at Boundary |
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第5章:綜合主題 Chapter 5: Miscellaneous Topic 隨機媒介參考中的波動區域化 Wave Localization in a Random Medium 參考資料 References |
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第6章:狹窄管道中消散波之推動 Chapter 6: Forced Dispersive Waves Along a Narrow Channel 狹窄波導中的自由波傳導 Free Wave Propagation Along a Narrow Waveguide 狹窄波導中的推動波傳導 Forced Wave Propagation Along a Narrow Waveguide 初始邊界值問題 Initial Boundary Value Problem |
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第7章:層化流體中的內部波 Chapter 7: Internal Waves in a Stratified Fluid 引言 Introduction 不可壓縮的密度層化流體控制方程 Governing Equations for Incompressible Density-stratified Fluid 浮力頻率(布朗特—維塞拉頻率) The Buoyancy Frequency (Brunt-Vaisala Frequency) 無限層化流體的內部重力波 Internal Gravity Waves in Unbounded Stratified Fluid 波導運動 Waveguide Behavior |
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