mbb mb9 xb Fig. 1 Soil-Structure Interaction System.

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1 In this paper the authors developed a new subsystem modes synthesis method as one of the dynamic substructure methods for the analysis of soil-foundation-superstructure for seismic motions. This method has an advantage over the impedance method in that each subsystem (namely, the soil-foundation system and the superstructure) is characterized by the respective vibration modes of appropriately fixed or free interface conditions and the release modes. The accuracy is investigated from the comparison with the impedance method analysis by taking a blast furnacee structure on a grouped piles foundation as an example. A remarkable reduction of computing time is observed for the response analysis of the integrated soil-foundation-superstructure system. Keywords: dynamic soil-foundation-superstructure interaction, component modes synthesis, earthquake response, blast furnace

2 mbb mb9 xb Fig. 1 Soil-Structure Interaction System.

3 (a) Complete System (b) Subsystem I (Superstructure) (c) Subsystem II (Soil-Foundation) Due to External (Inertial) Forces Due to Prescribed Base Motion Due to Interface Displacements Due to Interface Forces Fig, 2 Substructuring for Soil-Structure Interaction System. hdhdh MSUbxSub+Csubx Fcchx r-gcmxr+pa d sub+ksubx sub Msub 7F subqsub-

4 MPP- Isup MPB=MBP= SUp (m8fl+ MBB= Ysub m81) sub sub mss Ns1p+mfs lsup+nsup ms1 icf+mff sub+isub CPP - Zl Wl sup TT q JC PB- CBP sup CssNsup Sub 2 KPP- NL1l sup KPB=Kup=O KBB- sub kfspsup+kff) FmP - sup (m+ sfm FmB- S5f5U5) sub+ Ili11J Sub sub (Nsubmsf+/rsupmsSNsup+ mfsfsup+ mff) FOP-FPC-supCssPsup jsu bpsupcsspsup Fkp= 0 =sk+kfjgb ub (fffspsup)

5 Fig. 3 Blast Furnace Structure on Grouped Pile Foundation. Concentric Pile Arrangement (Plan View) (b) Soil-Foundation System Fig. 4 FEM Model for Analysis. Table 1 Soil Properties. Side View for n=2 Fourier Harmonic, Table 2 Pile Dimensions.

6 Table 3 Natural Frequencies (Hz). *: Pick up Modes NF. Natural Frequency(RR) CR.: Contribution Rio(R) for Base Input (a) n=0; Symmetric Translation, Antisymmetric Rotation (b) n=0; Antisymmetric Translation, Symmetric Rotation Fig. 5 Modes Shapes of Soil-Foundation System. (c) n=1; Symmetric Transiation, Antisymmetric Rotation 1 ST MODE El CEHFREOUEHCY HZ 2 ND MODE El GENFREOUENCY HZ 3 RD MODE EIGENFREOUEHCY HZ 4 TM MODE El CEHFREOUENCY HZ 5 TH MODE El 0ENFREOUENCY HZ 6 TM MODE El GENFREOUEHCY HZ Fig, 6 Modes Shapes of Superstructure Affected by SSI.

7 Y-RESPONSE X-RESPONSE --COMPONENT MODE i -- COMPLETE MODE Y-RESPONSE -- COMPONENT MODE METI COMPLETE MODE -- COMPONENT MODE COMPLETE MODE X-RESPONSE i --- COMPONENT MODE COMPLETE MODE -- COMPONENT MODE -- COMPLETE MODE X-RESPONSE Y-RESPONSE i - COMPONENT MODE COMPLETE MODE COMPONENT MODE COMPLETE MODE X-RESPONSE Y-RESPONSE -- COMPONENT MODE COMPLETE MOI)E (a) X- Directional Input (b) y. Directional Input Fig. 7 Frequency Transmitting Functions (Transmitting Side Soil Boundary).

8 -COMPONENT MODE (a) Furnace(Top) (b) Top Structure (Top) Fig. 8 Acceleration Response Time Histories (Transmitting Side Soil Boundary). Table 4 CPU TIME Comparison.

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