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

procedure to estimate seismic demands for unsymmetric-plan buildings.”

Earthquake Eng. Struct. Dyn., 338, 903–927.

Chopra, A. K., and Gutierrez, J. A. 1974. “Earthquake response analysis

of multi-story buildings including foundation interaction.” Earthquake

Eng. Struct. Dyn., 31, 65–77.

Goel, R. K. 2001. “Simplified analysis of asymmetric structures with

supplemental damping.” Earthquake Eng. Struct. Dyn., 309, 1399–

1416.

Gupta, V. K., and Trifunac, M. D. 1991. “Seismic response of multistoried

buildings including the effects of soil-structure interaction.” Soil

Dyn. Earthquake Eng., 108, 414–422.

Lin, J. L., and Tsai, K. C. 2007. “Simplified seismic analysis of one-way

asymmetric elastic systems with supplemental damping.” Earthquake

Eng. Struct. Dyn., 366, 783–800.

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

on damping of structures.” Earthquake Eng. Struct. Dyn.,

115, 595–621.

Parmelee, R. A. 1967. “Building foundation interaction effects.” J.

Engrg. Mech. Div., 932, 131–152.

Richart, F. E., Hall, J. R., and Woods, R. D. 1970. Vibrations of soils

and foundations, Prentice-Hall, Englewood Cliffs, N.J.

Roesset, J. M., Whitman, R. V., and Dobry, R. 1973. “Modal analysis

for structures with foundation interaction.” J. Struct. Div., 993, 399–

416.

Sivahumaran, K. S., and Balendra, T. 1994. “Seismic analysis of asymmetric

multistory buildings including foundation interaction and P-effects.” Eng. Struct., 168, 609–625.

Tsai, N. C. 1974. “Modal damping for soil-structure interaction.” J.

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 不对称建筑与土壤结构的相互作用英文文献和中文翻译(5):http://www.youerw.com/fanyi/lunwen_49596.html