ＡＮＳＹＳ結構動力分析反應譜法（建築物耐震設計規範及解說２００１）

　　金字塔的結構設計，我打算要找第二類地盤，以反應譜法做結構動力分析。根據建築物耐震設計規範及解說（２００１），採用其第二類地盤正規化加速度反應譜做計算，依照第３６頁所述乘上重力加速度以取得加速度反應譜。１９９９年０９月２１日凌晨１：４６分，我擁有九二一集集大地震全國６００多個測站的地震儀加速度數據，我應該會斟酌是否做歷時結構動力分析。我希望地震工程的教授，得另外提供水平１２００ＧＡＬ的反應譜，以及垂直４５０ＧＡＬ的反應譜。

　　中國大陸的反應譜設置原則，得輸入加速度值求算需求反應譜，此反應譜方法可用於１２００ＧＡＬ。以下，為臺灣各類地盤的結構動力分析的代碼，應該照常採用ＳＲＳＳ對其結果做求算，對於模態週期相近者採用ＣＱＣ做計算。ＡＮＳＹＳ的ＳＲＳＳ和ＣＱＣ求算，為採用指令名稱ＳＲＳＳ和ＣＱＣ（無須參數）。此外，反應譜計算要先取得模態數據，以下為反應譜分析前的振態求解代碼。「MODOPT,LANB,20」，選擇常用求解法Ｂｌｏｃｋ　Ｌａｎｃｚｏｓ，並採用求解出２０個振態，以便於在反應譜求解之後，要選用ＳＲＳＳ或ＣＱＣ。振態不夠用時，應該修改振態數重新求解，我不傾向於求解後擴展振態，也就是振態數不一定是２０個。

振態分析

/SOLU
ANTYPE,MODAL
MODOPT,LANB,20
SOLVE
FINISH

鋼結構

第一類地盤（堅實地盤）

結構動力分析（反應譜法、水平地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.02
SED,1
SVTYP,2
FREQ,0,0.03,0.15,0.333,0.4,0.5,0.6,0.7,0.8
FREQ,0.9,1.0,1.1,1.2,1.315,5
SV,, 9.80665, 9.80665,32.68883,32.68883,28.90241,24.90734,22.05666,19.90255,18.20737
SV,,16.83238,15.69064,14.72467,13.89483,13.07553,13.07553
SOLVE
FINISH

結構動力分析（反應譜法、垂直地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.02
SED,,,1
SVTYP,2
FREQ,0,0.03,0.1,0.288,0.4,0.5,0.6,0.7,0.8
FREQ,0.9,1,1.139,5
SV,, 9.80665, 9.80665,35.95772,35.95772,28.90241,24.90734,22.05666,19.90255,18.20737
SV,,16.83238,15.69064,14.38309,14.38309
SOLVE
FINISH

第二類地盤（普通地盤）

結構動力分析（反應譜法、水平地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.02
SED,1
SVTYP,2
FREQ,0,0.03,0.15,0.465,0.5,0.6,0.7,0.8,0.9
FREQ,1,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.837
FREQ,5
SV,, 9.80665, 9.80665,32.68883,32.68883,31.13417,27.57083,24.87818,22.75922,21.04048
SV,,19.61330,18.40584,17.36853,16.46601,15.67227,14.96775,14.33741,13.76950,13.07553
SV,,13.07553
SOLVE
FINISH

結構動力分析（反應譜法、垂直地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.02
SED,,,1
SVTYP,2
FREQ,0,0.03,0.1,0.403,0.5,0.6,0.7,0.8,0.9
FREQ,1,1.1,1.2,1.3,1.4,1.5,1.592,5
SV,, 9.80665, 9.80665,35.95772,35.95772,31.13417,27.57083,24.87818,22.75922,21.04048
SV,,19.61330,18.40584,17.36853,16.46601,15.67227,14.96775,14.38309,14.38309
SOLVE
FINISH

第三類地盤（軟弱地盤）

結構動力分析（反應譜法、水平地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.02
SED,1
SVTYP,2
FREQ,0,0.03,0.2,0.611,0.8,1,1.2,1.4,1.6
FREQ,1.8,2,2.2,2.415,5
SV,, 9.80665, 9.80665,32.68883,32.68883,27.31106,23.53596,20.84224,18.80673,17.20489
SV,,15.90561,14.82673,13.91394,13.07553,13.07553
SOLVE
FINISH

結構動力分析（反應譜法、垂直地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.02
SED,,,1
SVTYP,2
FREQ,0,0.03,0.1,0.53,0.7,0.9,1.1,1.3,1.5
FREQ,1.7,1.9,2.093,5
SV,, 9.80665, 9.80665,35.95772,35.95772,29.85382,25.24858,22.08700,19.75921,17.96130
SV,,16.52340,15.34250,14.38309,14.38309
SOLVE
FINISH

臺北盆地

結構動力分析（反應譜法、水平地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.02
SED,1
SVTYP,2
FREQ,0,0.03,0.2,1.32,1.5,1.7,1.9,2.1,2.3 FREQ,2.5,2.7,2.9,3.1,3.3,5 SV,, 9.80665, 9.80665,32.68883,32.68883,28.76617,25.38192,22.71014,20.54727,18.76055 SV,,17.25970,15.98121,14.87906,13.91912,13.07553,13.07553 SOLVE
FINISH

結構動力分析（反應譜法、垂直地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.02
SED,,,1
SVTYP,2
FREQ,0,0.03,0.1,1.32,1.5,1.7,1.9,2.1,2.3
FREQ,2.5,2.7,2.9,3.1,3.3,5
SV,, 9.80665, 9.80665,32.68883,32.68883,28.76617,25.38192,22.71014,20.54727,18.76055
SV,,17.25970,15.98121,14.87906,13.91912,13.07553,13.07553
SOLVE
FINISH

鋼筋混凝土

第一類地盤（堅實地盤）

結構動力分析（反應譜法、水平地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.05
SED,1
SVTYP,2
FREQ,0,0.03,0.15,0.333,0.4,0.5,0.6,0.7,0.8
FREQ,0.9,1.0,1.1,1.2,1.315,5
SV,, 9.80665, 9.80665,24.51663,24.51663,21.67680,18.68050,16.54250,14.92691,13.65553
SV,,12.62429,11.76798,11.04350,10.42112, 9.80665, 9.80665
SOLVE
FINISH

結構動力分析（反應譜法、垂直地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.05
SED,,,1
SVTYP,2
FREQ,0,0.03,0.1,0.288,0.4,0.5,0.6,0.7,0.8
FREQ,0.9,1,1.139,5
SV,, 9.80665, 9.80665,26.96829,26.96829,21.67680,18.68050,16.54250,14.92691,13.65553
SV,,12.62429,11.76798,10.78732,10.78732
SOLVE
FINISH

第二類地盤（普通地盤）

結構動力分析（反應譜法、水平地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.05
SED,1
SVTYP,2
FREQ,0,0.03,0.15,0.465,0.5,0.6,0.7,0.8,0.9
FREQ,1,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.837
FREQ,5
SV,, 9.80665, 9.80665,24.51663,24.51663,23.35063,20.67812,18.65864,17.06941,15.78036
SV,,14.70998,13.80438,13.02640,12.34951,11.75420,11.22581,10.75306,10.32712, 9.80665
SV,, 9.80665
SOLVE
FINISH

結構動力分析（反應譜法、垂直地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.05
SED,,,1
SVTYP,2
FREQ,0,0.03,0.1,0.403,0.5,0.6,0.7,0.8,0.9
FREQ,1,1.1,1.2,1.3,1.4,1.5,1.592,5
SV,, 9.80665, 9.80665,26.96829,26.96829,23.35063,20.67812,18.65864,17.06941,15.78036
SV,,14.70998,13.80438,13.02640,12.34951,11.75420,11.22581,10.78732,10.78732
SOLVE
FINISH

第三類地盤（軟弱地盤）

結構動力分析（反應譜法、水平地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.05
SED,1
SVTYP,2
FREQ,0,0.03,0.2,0.611,0.8,1,1.2,1.4,1.6
FREQ,1.8,2,2.2,2.415,5
SV,, 9.80665, 9.80665,24.51663,24.51663,20.48330,17.65197,15.63168,14.10505,12.90367
SV,,11.92921,11.12004,10.43546, 9.80665, 9.80665
SOLVE
FINISH

結構動力分析（反應譜法、垂直地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.05
SED,,,1
SVTYP,2
FREQ,0,0.03,0.1,0.53,0.7,0.9,1.1,1.3,1.5
FREQ,1.7,1.9,2.093,5
SV,, 9.80665, 9.80665,26.96829,26.96829,22.39036,18.93643,16.56525,14.81941,13.47097
SV,,12.39255,11.50688,10.78732,10.78732
SOLVE
FINISH

臺北盆地

結構動力分析（反應譜法、水平地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.05
SED,1
SVTYP,2
FREQ,0,0.03,0.2,1.32,1.5,1.7,1.9,2.1,2.3 FREQ,2.5,2.7,2.9,3.1,3.3,5 SV,, 9.80665, 9.80665,24.51663,24.51663,21.57463,19.03644,17.03260,15.41045,14.07041 SV,,12.94478,11.98591,11.15929,10.43934, 9.80665, 9.80665 SOLVE
FINISH

結構動力分析（反應譜法、垂直地表加速度）

/SOLU
ANTYPE,SPECTR
DMPRAT,0.05
SED,,,1
SVTYP,2
FREQ,0,0.03,0.1,1.32,1.5,1.7,1.9,2.1,2.3
FREQ,2.5,2.7,2.9,3.1,3.3,5
SV,, 9.80665, 9.80665,24.51663,24.51663,21.57463,19.03644,17.03260,15.41045,14.07041
SV,,12.94478,11.98591,11.15929,10.43934, 9.80665, 9.80665
SOLVE
FINISH


振態疊加

ＳＲＳＳ

/SOLU
ANTYPE,SPECTR
SRSS
SOLVE
FINISH

ＣＱＣ

/SOLU
ANTYPE,SPECTR
CQC
SOLVE
FINISH

　　建模方向，以下代碼採取Ｚ向為垂直高度，水平地表加速度欲更換為另一方向，必須變更輸入代碼的參數為「SED,,1」，欲以相反方向做結構動力分析為「SED,,-1」。阻尼比，為舊結構動力分析必須定義的數據，鋼結構是０﹒０２，鋼筋混凝土是０﹒０５，金字塔是鋼結構建築物，因而阻尼比設定是「DMPRAT,0.05」。「SVTYP,2」，指的是加速度反應譜，此為不變更的指令代碼，因為結構設計都是加速度譜。ＡＮＳＹＳ，可以做多點反應譜結構動力分析，但是真實世界幾乎無此類結構設計，此為單點反應譜結構動力分析（ＳＰＲＳ）。

Reference

1. 李立峰、王連華編著，邵旭東、孫全勝主審（2015）ANSYS土木工程實例詳解，人民郵電出版社