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致谢：
这项研究背后的理论发展为博士学位的一部分第一作者在国家台湾进行的计划大学，其应用程序是在第一次作家的1年留在斯坦福大学作为访问学者。来自国家科学的财政支持这在台湾基金会是感激的承认。
附录：扩展式„14…
替代TN为公式11公式14，Mn，CN，和得到了KN
附录二：
1，H，E和F，各种下标如式所示。18B是：
符号：
参考资料：
Balendra, T., Tat, C. W., and Lee, S. L. 1982. “Modal damping for
torsionally coupled buildings on elastic foundation.” Earthquake Eng.
Struct. Dyn., 105, 735–756.
Bielak, J. 1971. “Earthquake response of building-foundation system.”
Rep. No. EERL 71–04, Earthquake Research Laboratory, California
Institute of Technology, Pasadena, Calif.
Bielak, J. 1976. “Modal analysis for building-soil interaction.” J. Engrg.
Mech. Div., 1025, 771–786.
Castelloni, A. 1970. “Foundation compliance effects on earthquake response
spectra.” J. Soil Mech. and Found. Div., 964, 1335–1356.
Chopra, A. K., and Goel, R. K. 2004. “A modal pushover analysis
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Earthquake Eng. Struct. Dyn., 338, 903–927.
Chopra, A. K., and Gutierrez, J. A. 1974. “Earthquake response analysis
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Lin, J. L., and Tsai, K. C. 2007. “Simplified seismic analysis of one-way
asymmetric elastic systems with supplemental damping.” Earthquake
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Meek, J. W., and Veletsos, A. S. 1972. “Dynamic analysis and behavior
of structure foundation system.” Structure Research at Rice, Rep. No.
13, Dept. of Civil Engineering, Rice Univ., Houston.
Novak, M., and Hifnawy, L. E. L. 1983. “Effect of soil-structure interaction
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Richart, F. E., Hall, J. R., and Woods, R. D. 1970. Vibrations of soils
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Roesset, J. M., Whitman, R. V., and Dobry, R. 1973. “Modal analysis
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Engrg. Mech. Div., 1002, 323–341.
Vaish, A. K., and Chopra, A. K. 1973. “Earthquake analysis of
structure-foundation systems.” Rep. No. EERC73–9, Earthquake Engineering
Research Center, Univ. of California, Berkeley, Calif.
Veletsos, A. S., and Meek, J. W. 1974. “Dynamic behavior of buildingfoundation
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