# 多層地盤における埋込み基礎の動的相互作用解析Dynamic Interaction Analysis of the Foundations Embedded in the Multi-layerd Soil

## 書誌事項

タイトル

タイトル別名

Dynamic Interaction Analysis of the Foundations Embedded in the Multi-layerd Soil

フジイ, ダイジ

1992-06-11

## 注記・抄録

In this paper, I develop the method of dynamic interaction analysis of the foundations embedded in the multi-layered soil, by using the boundary integral equation method based on the ring Green's functions which, derived from the thin layer method, is expanded in a Fourier series in the circumferential direction. Considering the effects of separation and slipping between side walls and the soil, of the buckfilled soil, and of shapes of the foundation, I clarify a part of dynamic property of the foundations embedded in the multi-layered soil by those methods.In Chapter 1 presents the backgrounds, present situation, purpose and outline of this study.Chapter 2 outlines the dynamic interaction analysis by the boundary integral equation method and shows the method of derivation of the impedance and exciting force which are fundamental physical quantities governing the dynamic interaction problems.Chapter 3 starts with the three dimensional wave propagation theory and then details the derivation of the Green's functions (point load solutions or ring-line-load solutions) by the three dimensional thin layer method.Chapter 4 shows the methods for resolving the phenomenon of internal resonance, that is, the phenomenon that the internal resonance influences the analysis in the outer domain, which is one of two complexities for boundary integral equation method using the Green's function by the thin layer method. The worse the accuracy of Green's function becomes, the larger the influence of the phenomenon of internal resonance becomes near the resonance point. There are two methods for resolving this complexity. One is to take away the internal resonance point from the frequency range of interest by putting a cover and an internal constraint surface in the inner domain which corresponds to the region of foundation. The other is to take away it by putting, instead of them, several constraint panels which are as large as one of boundary elements.Chapter 5 shows the methods for resolving the other complexity that the calculation of the stress components of the Green's functions obtained by thin layer method introduces substantial errors near the applied point. These methods are to reevaluate under certain conditions the stress matrix which includes the value of integration of the stress components of the Green's function on a element. First, in linear elastic soil, one of those conditions is derived from the fact that the stress in the inner domain is real value. In visco-elastic soil, there are two conditions. One is derived from the fact that if the boundary is fixed, the stress in the outer domain is zero when the constraint panels in the inner domain are exciting. The other condition is derived from the boundary integral equations which the Green's functions must satisfy in the inner domain when an applied point is in the outer domain.Chapter 6 shows the method which combines the axi-symmetric finite element method with the boundary integral equation method in the thin layered soil model described above, with which Chapter 7 shows the method combining the three dimensional boundary element method.In the following chapters, I investigate the dynamic property of the foundations embedded in the multi-layered soil by the methods mentioned above. Chapter 8 shows the dynamic torsional stiffness analysis of the foundation rested on the elastic base and investigates the effects of stiffness ratio between the suface layer and the elastic base and of material damping in the soil.Chapter 9 makes qualitative investigations into the effects of separation and slipping on the side walls of the foundation upon the dynamic response of the embedded foundation.Chapter 10 adopts the method presented in Chapter 6 for investigations into the effects of the backfilled soil upon the dynamic response of the embedded foundation.Chapter 11 adopts the method presented in Chapter 7 for investigations into the property of the rigid rectangular foundation embedded in the soil.In the final chapter, I draw a conclusion summarily from the main points presented above.Thus, I have in this paper developed the series of methods of dynamic interaction analysis by the integral equation methods, by using the ring Green's functions which, obtained by the thin layer method, is expanded in a Fourier series in the circumferential direction and discussed the dynamic property of the foundation embedded in the multilayered soil. With due regard to the separation and slipping on the side walls of the foundation or the buckfilled soil near the foundation, I have examined the matter as to whether the embedded foundation is superior to the surface foundation in terms of the earthquake resistance; and consequently I have illuminated the dynamic property of the embedded foundations.

## 目次

1. 目次 / p10 (0008.jp2)
2. 論文概要 / p1 (0003.jp2)
3. Abstract / p3 (0004.jp2)
4. 記号表 / p5 (0005.jp2)
5. 1 序論 / p1 (0009.jp2)
6. 1.1 緒言 / p1 (0009.jp2)
7. 1.2 埋込み基礎の動的相互作用問題に関する既往の研究 / p2 (0010.jp2)
8. 1.3 研究の目的と概要 / p6 (0012.jp2)
9. 1.4 関係論文 / p9 (0013.jp2)
10. 2 境界積分方程式法を用いた動的相互作用解析 / p12 (0015.jp2)
11. 2.1 動的相互作用解析の概要 / p12 (0015.jp2)
12. 2.2 境界積分方程式の定式化 / p16 (0017.jp2)
13. 2.3 境界積分方程式の離散化 / p17 (0017.jp2)
14. 2.4 インピーダンスマトリクス / p19 (0018.jp2)
15. 2.5 地震強制力ベクトル / p21 (0019.jp2)
16. 3 薄層地盤のグリーン関数 / p23 (0020.jp2)
17. 3.1 波数領域の運動方程式 / p23 (0020.jp2)
18. 3.2 要素剛性方程式 / p25 (0021.jp2)
19. 3.3 変位の一般解 / p28 (0023.jp2)
20. 3.4 薄層法点加振解 / p35 (0026.jp2)
21. 3.5 薄層法リング状線加振解 / p38 (0028.jp2)
22. 4 内部共振解の除去法 / p45 (0031.jp2)
23. 4.1 内部共振解と解析精度 / p45 (0031.jp2)
24. 4.2 蓋と内部空孔面による内部共振解の除去法 / p47 (0032.jp2)
25. 4.3 内部拘束面による内部共振解の除去法 / p52 (0035.jp2)
26. 5 応力マトリクスの修正法 / p56 (0037.jp2)
27. 5.1 弾性地盤における修正法 / p56 (0037.jp2)
28. 5.2 粘弾性地盤における修正法(その1) / p61 (0039.jp2)
29. 5.3 粘弾性地盤における修正法(その2) / p67 (0042.jp2)
30. 6 境界積分方程式法と軸対称有限要素法の結合法 / p72 (0045.jp2)
31. 6.1 外部領域の剛性方程式 / p72 (0045.jp2)
32. 6.2 結合法 / p74 (0046.jp2)
33. 6.3 地震強制力の導出法 / p79 (0048.jp2)
34. 7 境界積分方程式法と3次元境界要素法の結合法 / p81 (0049.jp2)
35. 7.1 外部領域の剛性方程式 / p81 (0049.jp2)
36. 7.2 内部領域の剛性方程式 / p85 (0051.jp2)
37. 7.3 外部領域と内部領域の結合方程式 / p89 (0053.jp2)
38. 7.4 任意形状剛基礎の動的相互作用解析法 / p90 (0054.jp2)
39. 7.5 1/4解析 / p91 (0054.jp2)
40. 7.6 解析法の有効性の検証 / p95 (0056.jp2)
41. 8 二層地盤における円筒剛基礎のねじれインピーダンス特性 / p100 (0059.jp2)
42. 8.1 解析方法と解析モデルの設定 / p100 (0059.jp2)
43. 8.2 弾性二層地盤におけるねじれインピーダンス / p101 (0059.jp2)
44. 8.3 粘弾性二層地盤におけるねじれインピーダンス / p105 (0061.jp2)
45. 8.4 まとめ / p107 (0062.jp2)
46. 9 埋込み基礎の動的特性に及ぼすはく離と滑動の影響 / p108 (0063.jp2)
47. 9.1 解析方法と解析モデルの設定 / p108 (0063.jp2)
48. 9.2 インピーダンスと基礎入力動に及ぼすはく離と滑動の影響 / p110 (0064.jp2)
49. 9.3 構造物の応答に及ぼすはく離と滑動の影響 / p117 (0067.jp2)
50. 9.4 まとめ / p122 (0070.jp2)
51. 10 埋込み基礎の動的特性に及ぼす埋戻し土の影響 / p123 (0070.jp2)
52. 10.1 解析方法と解析モデルの設定 / p123 (0070.jp2)
53. 10.2 インピーダンスと基礎入力動に及ぼす埋戻し土の影響 / p125 (0071.jp2)
54. 10.3 構造物の応答に及ぼす埋戻し土の影響 / p131 (0074.jp2)
55. 10.4 構造物の高さに対する影響 / p135 (0076.jp2)
56. 10.5 まとめ / p140 (0079.jp2)
57. 11 埋込み矩形基礎の動的特性 / p141 (0079.jp2)
58. 11.1 解析方法と解析モデルの設定 / p141 (0079.jp2)
59. 11.2 埋込み正方形基礎の地反力分布 / p143 (0080.jp2)
60. 11.3 埋込み正方形基礎のインピーダンス / p148 (0083.jp2)
61. 11.4 埋込み矩形基礎のアスペクト比に関する調査 / p151 (0084.jp2)
62. 11.5 地盤の成層性の影響 / p154 (0086.jp2)
63. 11.6 まとめ / p157 (0087.jp2)
64. 12 結論 / p158 (0088.jp2)
65. 謝辞 / p162 (0090.jp2)
66. 参考文献 / p163 (0090.jp2)
67. Appendix / p169 (0093.jp2)
68. A 相反定理による境界積分方程式の定式化 / p169 (0093.jp2)
69. B 境界積分方程式の軸対称表現 / p172 (0095.jp2)
70. B.1 変位表現 / p172 (0095.jp2)
71. B.2 表面力表現 / p175 (0096.jp2)
72. C インピーダンスの実部と虚部の関係 / p178 (0098.jp2)
73. D 多層地盤における入反射場解析 / p180 (0099.jp2)
74. D.1 平面波の波動方程式 / p180 (0099.jp2)
75. D.2 SH波入射の場合 / p181 (0099.jp2)
76. D.3 SV波,P波入射の場合 / p185 (0101.jp2)
77. D.4 直交デカルト座標系における変位と表面力 / p190 (0104.jp2)
78. E 動的および静的Kelvin解の変位と表面力 / p192 (0105.jp2)
79. E.1 動的Kelvin解の変位と表面力 / p192 (0105.jp2)
80. E.2 静的Kelvin解の変位と表面力 / p192 (0105.jp2)
7アクセス

## 各種コード

• NII論文ID(NAID)
500000091605
• NII著者ID(NRID)
• 8000000991947
• DOI(NDL)
• 本文言語コード
• jpn
• NDL書誌ID
• 000000255919
• データ提供元
• 機関リポジトリ
• NDL-OPAC
• NDLデジタルコレクション

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