A new approach to time domain boundary element method and application to wave propagation and scattering problems 時間領域境界要素法の新しい展開と波動伝播・散乱問題への応用
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Bibliographic Information
- Title
-
A new approach to time domain boundary element method and application to wave propagation and scattering problems
- Other Title
-
時間領域境界要素法の新しい展開と波動伝播・散乱問題への応用
- Author
-
王, 燦雲
- Author(Another name)
-
ワン, ツァンユン
- University
-
岡山大学
- Types of degree
-
学術博士
- Grant ID
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甲第930号
- Degree year
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1991-03-28
Note and Description
博士論文
Table of Contents
- TABLE OF CONTENTS / (0006.jp2)
- Acknowledgement / (0004.jp2)
- Abstract / (0005.jp2)
- CHAPTER1 / p1 (0009.jp2)
- INTRODUCTION / (0009.jp2)
- 1.1 BOUNDARY ELEMENT METHOD / p1 (0009.jp2)
- 1.2 TRANSFORMED-DOMAIN BEM AND TIME-DOMAIN BEM / p3 (0011.jp2)
- 1.3 REVIEW OF TIME-DOMAIN BEM / p4 (0012.jp2)
- 1.4 CONTRIBUTIONS OF THE PRESENT METHOD / p6 (0014.jp2)
- 1.5 OUTLINE OF CONTENT / p7 (0015.jp2)
- CHAPTER2 / p8 (0016.jp2)
- BASIC THEORY / p8 (0016.jp2)
- 2.1 CARTESIAN TENSOR NOTATION / p8 (0016.jp2)
- 2.2 BASIC EQUATIONS / p8 (0016.jp2)
- 2.3 ELASTODYNAMIC INITIAL-BOUNDARY VALUE PROBLEMS / p12 (0020.jp2)
- 2.4 RECIPROCAL THEOREM / p13 (0021.jp2)
- 2.5 INTEGRAL REPRESENTATION / p14 (0022.jp2)
- 2.6 BOUNDARY INTEGRAL EQUATIONS / p17 (0025.jp2)
- 2.7 INDIRECT BOUNDARY INTEGRAL EQUATIONS / p17 (0025.jp2)
- 2.8 BOUNDARY INTEGRAL EQUATIONS FOR SCATTERING PROBLEMS / p18 (0026.jp2)
- CHAPTER3 / p21 (0029.jp2)
- PROPAGATION OF A STRIP DISTRIBUTED LOAD / p21 (0029.jp2)
- 3.1 INTRODUCTION / p21 (0029.jp2)
- 3.2 STATE OF THE PROBLEM / p23 (0031.jp2)
- 3.3 REDUCTION FROM DEFINITE INTEGRAL TO CONVOLU- TIONS / p25 (0033.jp2)
- 3.4 BASIC PROPERTIES OF CONVOLUTION / p26 (0034.jp2)
- 3.5 FUNDAMENTAL PAIR OF DOUBLE CONVOLUTIONS / p26 (0034.jp2)
- 3.7 EXPRESSIONS OF DISPLACEMENT AND STRESS BY Rmn / p30 (0038.jp2)
- 3.8 SOLUTION METHOD OF Rmn / p32 (0040.jp2)
- Appendix(3-1)---Appendix(3-18) / p40 (0048.jp2)
- CHAPTER4 / p71 (0079.jp2)
- NUMERICAL IMPLEMENTATION FOR TWO-DIMENSIONAL SCALAR WAVE PROBLEMS / p71 (0079.jp2)
- 4.1 INTRODUCTION / p71 (0079.jp2)
- 4.2 BOUNDARY INTEGRAL REPRESENTATION / p73 (0081.jp2)
- 4.3 SPATIAL DISCRETIZATION / p74 (0082.jp2)
- 4.4 TEMPORAL DISCRETIZATION / p77 (0085.jp2)
- 4.5 TIME-STEPPING ALGORITHM / p77 (0085.jp2)
- 4.6 ANALYTICAL EXPRESSION OF Hk AND Gk / p79 (0087.jp2)
- CHAPTER5 / p84 (0092.jp2)
- NUMERICAL IMPLEMENTATION FOR TWO-DIMENSIONAL ELASTODYNAMICS / p84 (0092.jp2)
- 5.1 INTRODUCTION / p84 (0092.jp2)
- 5.2 BOUNDARY INTEGRAL REPRESENTATION FOR INPLANE MOTION / p84 (0092.jp2)
- 5.3 SPATIAL DISCRETIZATION / p86 (0094.jp2)
- 5.4 TEMPORAL DISCRETIZATION / p88 (0096.jp2)
- 5.5 TIME-STEPPING ALGORITHM / p89 (0097.jp2)
- 5.6 CONSTRUCTION OF Hk AND Gk / p90 (0098.jp2)
- 5.7 TRANSFORMATION OF COORDINATES / p91 (0099.jp2)
- 5.8 ANALYTICAL EXPRESSION OF V / p92 (0100.jp2)
- CHAPTER6 / p95 (0103.jp2)
- APPLICATION EXAMPLES / p95 (0103.jp2)
- 6.1 FINITE STRIP FIXED AT ONE END AND SUBJECTED TO TRACTION AT THE OTHER / p95 (0103.jp2)
- 6.2 HALF-SPACE UNDER UNIFORM STRIP LOADING / p115 (0123.jp2)
- 6.3 RIGID MASSLESS FOUNDATION UNDER EXTERNAL FORCE / p123 (0131.jp2)
- 6.4 SCATTERING OF SH-WAVES BY A CIRCULAR CYLINDER CAVITY / p127 (0135.jp2)
- 6.5 SCATTERING OF VS-AND P-WAVES BY A CIRCULAR CYLINDER CAVITY / p153 (0161.jp2)
- REFERENCES / p159 (0167.jp2)