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Model for the seismic analysis of arch dams including interaction effects

Domínguez Abascal, José; Maeso, O.

Abstract

A three-dimensional boundary element model for the seismic analysis of arch dams is presented. The soil and the dam are assumed to be viscoelastic domains the former being boundless. The water is assume to be compressible subject to small amplitude motions. The three domains are discretized into B ."E. in a single model which includes a rigurous representation of the dam-foundation rock interaction, the water-foundation rock interaction and the traveling wave effects. The response of an arch dam (The Morrow Point dam) to harmonic waves propagating vertically is studied. The important influence of the abovementioned interaction and traveling wave effects is clearly shown by computed results. These results are in contrast with sorne obtained by other authors using a F.E. model.

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Model o he seismic analysis o a ch dams including in e ac ion e ec s J. Dominguez Unil'e sidad de Se illa. Spain O.Maesa Unii'e sidad de Las Palmas de G an Cana ias. Spain ABSTRACT: A h ee-dimensional bounda y elemen model o he seismic analysis o a ch dams is p esen ed. The soil and he dam a e assumed o be iscoelas ic domains he o me being boundless. The wa e is assume o be comp essible subjec o small ampli ude mo ions. The h ee domains a e disc e ized in o B ."E. in a single model which includes a igu ous ep esen a ion o he dam- ounda ion ock in e ac ion, he wa e - ounda ion ock in e ac ion and he a eling wa e e ec s. The esponse o an a ch dam (The Mo ow Poin dam) o ha monic wa es p opaga ing e ically is s udied. The impo an in luence o he abo emen ioned in e ac ion and a eling wa e e ec s is clea ly shown by compu ed esul s. These esul s a e in con as wi h so ne ob ained by o he au ho s using a F.E. model. 1 INTRODUCTION The analysis o he seismic esponse o dam- ese oi sys ems is an impo an p oblem wi hin he ield o ea hquake enginee ing. The seismic esponse can no be s udied conside ing he s uc u e as an isola ed body unde he in luence o a uni o m base mo ion. The e a e impo an e ec s due o he space dis ibu ion o he exci a ion, he dam-wa e , dam- ounda ion and wa e - ounda ion in e ac ion, ha make necessa y he use o models including he h ee media and he in e ac ion be ween hem. A g ea · e o has been dedica ed o his subjec in he las �o decades. The s udies o Hall and Chop a (1983) and Fok and Chop a (1986) who analysed he signi icance o a numbe .o ac o s con ibu ing o he esponsee shold be men ioned. Those s udies ha e been done using he Fini e Elemen Me hod. The model o Fok and Chop a (1986} led o an ex ao dina y ad ance in he ea hquake analysis o a ch dams. Howe e i s ill con ains impo an simpli ica ions which may gi e ise o un ealis ic esul s. I 's main simpli ying assump ions and limi a ions a e: 4601 a) The model includes a massless ounda ions which is only jus i ied by he necessi y o ep esen ing a boundless complian ounda ion using a ini -e inodel. The soil-s uc u e in e ac ion is no p ope ly ep esen ed and he a eling wa e e ec s can no be aken in o accoun . Ve y ecen ly Zhang and Chop a (1991) ha e s a ed o analyse an al .e na i e o his model o · he ounda ion using a wo-dimensional bounda y �n eg al o mula ion combined wi h a Fou ie expansion. bl A bo om abso ion coe icien is u sed o ep esen he wa e - ounda ion in e ac ion. I is based on he one dimensional . ep esen a ion o he wa e é lec ion be ween he wa e and a uni o m hal -space. e) The model does no ake in o accoun he jo in wa e - ounda ion-dam in e ac ion.The model o · he oúnda ion ock used o he in e ac ion wi h he dam is independen o ha used o he wa e - ounda ion ock in e ac ion. d) The assump ion o an uni o m c oss · sec -ion ex ending om he icini y o he dam o i� ini y may