The use of supplemental damping to dissipate seismic energy is one of the most economical and effective ways to mitigate the effects of earthquakes on structures. Both displacement-dependent and velocity-dependent devices dissipate earthquake-induced energy effectively. Combining displacement-dependent and velocity-dependent devices for seismic mitigation of structures minimizes the shortcomings of individual dampers, and is the most economical solution. Previous studies have focused on reducing seismic responses of a damped structure without considering the consequence of the unbounded foundation. To better understand the seismic response of structures, it is necessary to anticipate the interaction of damped structures and the unbounded foundations during earthquakes. This paper focuses on the flexibility and radiation effects on a time-domain procedure based on the finite element method for damped structures. The infinitesimal finite-element cell method for unbounded media addresses the interactive behaviour of a damped structure and the foundation with an unbounded far field. In this study, significant differences between the system with and without the radiation damping are observed. To obtain better accuracy, the radiation damping needs to be properly taken into account. Quantitative results also reveal that interaction effects between damped structures and unbounded media are important.
AikenI.D.KellyJ.M. and PallA.S. (1988). “Seismic response of a nine-storey steel frame with friction damped crossbracing”, Report No. UCB/EERC-88/17, Earthquake Engineering Research Center, University of California at Berkeley, California.
2.
AikenI.D.KellyJ.M. and MahmoodiP. (1990). “The application of viscoelastic dampers to seismically resistant structures”, Proceedings of the Fourth U.S. National Conference on Earthquake Engineering, Palm Springs, California, May, Vol. III, pp. 459–468.
3.
BergmanD.M. and HansonR.D. (1990). “Viscoelastic versus steel plate mechanical damping devices: An experimental comparison”, Proceedings of the Fourth U.S. National Conference on Earthquake Engineering, Palm Springs, California, May, Vol. III, pp. 469–477.
4.
ChenP.F. and PowellG.H. (1982). “Generalized plastic hinge concepts for 3D beam-column elements”, Rep. No. UCB/EERC-82/20, Earthquake Engineering Research Center, University of California, Berkeley, California.
5.
ConstantinouM.C. and SymansM.D. (1992). “Experimental and analytical investigation of seismic of structures with supplemental fluid viscous dampers”, Report No. NCEER-92-0032, National Center for Earthquake Engineering Research, SUNY at Buffalo, New York.
6.
KellyJ.M. and SkinnerM.S. (1980). “The design of steel energy-absorbing restrainers and their incorporation into nuclear power plants for enhanced safety (Vol. 2): Development and testing of restraints for nuclear piping system”, Report No. UCB/EERC-80/21, Earthquake Engineering Research Center, University of California at Berkeley, California.
7.
PallA.S.GhorayebF., and PallR. (1991). “Friction dampers for rehabilitation of ecole polyvalente at Sorel, Quebec”, Proceedings of the Sixth Canadian Conference on Earthquake Engineering, Toronto, Canada, June, pp. 389–396.
8.
PekauO.A. and GuimondR. (1991). “Controlling seismic response of eccentric structures by friction dampers”, Earthquake Engineering and Structural Dynamics, Vol. 20, No. 6, pp. 505–521.
9.
PongW.S.TsaiC.S. and LeeG.C. (1994). “Seismic study of building frames with added energy-absorbing devices”, Report No. NCEER-94-0016, National Center for Earthquake Engineering Research, State University of New York at Buffalo, New York.
10.
PongW.S. and TsaiC.S. (1995). “Seismic study of buildings with viscoelastic dampers”, An International Journal of Structural Engineering and Mechanics, Vol. 3, No.6, pp. 569–581.
11.
PongW.S. and TsaiC.S. (1996a). “Comparisons of analyses and experiments of steel frames with VE dampers”, Proceedings of the Third International Conference on Motion and Vibration Control, Chiba, Japan, September, Vol. 3, pp. 461–466.
12.
PongW.S. and TsaiC.S. (1996b). “Seismic performance of steel moment frames with viscoelastic dampers and TPEA devices”, Proceedings of the Third International Conference on Motion and Vibration Control, Chiba, Japan, September, Vol. 3, pp. 467–472.
13.
PongW.S. (1998). “Performance-based design of 3COM data center with supplemental damping devices”, Proceeding of the Second World Conference on Structural Control, Kyoto, Japan, June, Vol. 1, pp. 725–731.
14.
SongC. and WolfJ.P. (1995). “Consistent infinitesimal finite-element cell method: Out-of-plane motion”, Journal of Engineering Mechanics, ASCE, Vol. 121, No. 5, pp. 613–619.
15.
SongC. and WolfJ.P. (1996a). “Consistent infinitesimal finite-element cell method: Three-dimensional vector wave equation”, International Journal for Numerical Methods in Engineering, Vol. 39, No. 13, pp. 2189–2208.
16.
SongC. and WolfJ.P. (1996b). “Consistent infinitesimal finite-element cell method for diffusion equation in unbounded medium”, Computer Methods in Applied Mechanics and Engineering, Vol. 132, No. 3/4, pp. 319–334.
17.
SoongT.T. (1998). “Structural control: Impact on structural research in general”, Proceeding of the Second World Conference on Structural Control, Kyoto, Japan, June, Vol. 1, pp. 5–14.
18.
StiemerS.F. and ChowF.L. (1984). “Curved plate energy absorbers for earthquake resistant structures”, Proceedings of the Eighth World Conference on Earthquake Engineering, San Francisco, California, July, Vol. V., pp. 967–974.
19.
TsaiC.S. (1993). “Innovative design of viscoelastic dampers for seismic mitigation.”Nuclear Engineering and Design, Vol. 139, pp. 83–106.
20.
TsaiC.S. and LeeH.H. (1993). “Applications of viscoelastic dampers to high-rise buildings”, Journal of Structural Engineering, ASCE, Vol. 119, No.4, pp. 1222–1233.
21.
TsaiC.S. (1994). “Temperature effect of viscoelastic dampers during earthquakes”, Journal of Structural Engineering, ASCE, Vol. 120, No. 2, pp. 394–409.
22.
TsaiC.S. and LeeH.H. (1994). “Applications of viscoelastic dampers to high-rise buildings for seismic mitigation”, Journal of Structural Engineering, ASCE, Vol. 120, No.12, pp. 3680–3687.
23.
TsaiC.S. and TsaiK.C. (1995). “TPEA device as seismic dampers for high-rise buildings”, Journal of Engineering Mechanics, ASCE, Vol. 121, No.10, pp. 1075–1081.
24.
TsaiC.S. and ChungL.L. (1998). “RADAS as a damper for seismic mitigation”, Proceedings of the Second World Conference on Structural Control, Kyoto, Japan, Vol. 1, pp. 113–120.
25.
TsaiC.S.ChenK.C. and ChenC.S. (1998). “Seismic resistibility of high-rise buildings with combined velocity-dependent and velocity-independent devices”, Proceedings of the 1998 ASME/JSME PVP Conference, San Diego, California, July, Vol. 366, pp. 103–110.
26.
TsaiC.S. and ChenC.S. (1999). “Interactive behaviour for isolated building with FPS and unbounded media during earthquakes”, Proceedings of the 1999 Asian-Pacific Symposium on Structural Reliability and its Applications, Taipei, Taiwan, February, pp. 517–528.
27.
WhittakerA.S.BerteroV.V.AlonsoL.J. and ThompsonC. (1989). “Earthquake simulator testing of steel plate added damping and stiffness elements”, Report No. UCB/EERC-89/02, Earthquake Engineering Research Center, University of California at Berkeley, California.
28.
WolfJ.P. and SongC. (1996). “Consistent infinitesimal finite-element cell method: Three-dimensional scalar wave equation”, Journal of Applied. Mechanics, ASME, Vol. 63, No. 3, pp. 650–654.
29.
ZhangR.H. and SoongT.T. (1992). “Seismic design of dampers for structural applications”, Journal of Structural Engineering, ASCE, Vol. 118No.5, pp. 1375–1392.
