TECHNICAL PAPERS
Jul 1, 2008

Nonlinear Response Analysis Considering Dynamic Stiffness with Both Frequency and Strain Dependencies

Publication: Journal of Engineering Mechanics
Volume 134, Issue 7

Abstract

The time domain evaluation of the frequency-dependent dynamic stiffness was studied and some transform methods are being proposed. In this paper, the nonlinear response analysis method of the dynamic stiffness with both frequency and strain dependency was studied. First, the frequency-dependent complex stiffness was calculated at each strain level, and then they were transformed to the impulse response in the time domain. The characteristics of the complex stiffness and the impulse response of both two-layered soil and viscoelastic dampers were investigated. Then, the nonlinear time-history response analysis method considering both dependencies using the impulse response of each strain level was proposed. The earthquake response analysis of a structure on the two-layered soil was carried out as an example. The efficiency of the method was confirmed through these investigations.

Get full access to this article

View all available purchase options and get full access to this article.

References

Dobry, R., Whitman, R. V., and Rosset, J. M. (1971). “Soil properties and the one-dimensional theory of earthquake amplification.” Dept. of Civil Engineering, MIT, Research Rep. No. R71-18.
Kaneko, M., and Nakamura, Y. (1998). “Mechanical modeling of viscoelastic damper with amplitude and frequency dependent property.” J. Struct. Eng., 48B, 445–452 (in Japanese).
Kasai, K., Munshi, J., Lai, M. L., and Maison, B. F. (1993). “Viscoelastic damper hysteretic model: Theory, experiment, and application.” ATC-17-1 Seminar, Vol. 2, Applied Technology Council, 521–532.
Kasai, K., Ooki, Y., Tokoro, K., Amemiya, K., and Kimura, K. (2004). “JSSI manual for building passive control technology. Part 9: Time-history analysis model for viscoelastic dampers.” 13th World Conf. on Earthquake Engineering, IAEE, Vancouver, Canada, Paper No. 1507.
Kasai, K., and Tokoro, K. (2002). “Constitutive rule for viscoelastic materials having temperature, frequency, and strain sensitivities. Part 2: Nonlinear modeling based on temperature-rise, strain and strain-rate.” J. Struct. Constr. Eng., 561, 55–63 (in Japanese).
Nakamura, N. (2005). “A practical method for estimating dynamic soil stiffness on surface of multi-layered soil.” Earthquake Eng. Struct. Dyn., 34(11), 1391–1406.
Nakamura, N. (2006a). “Improved methods to transform frequency dependent complex stiffness to time domain.” Earthquake Eng. Struct. Dyn., 35(8), 1037–1050.
Nakamura, N. (2006b). “A practical method to transform frequency dependent impedance to time domain.” Earthquake Eng. Struct. Dyn., 35(2), 217–234.
Ohsaki, Y., Hara, A., and Kiyota, Y. (1978). “Stress-strain model of soils for seismic analyses.” Proc., 5th Japan Earthquake Engineering Symp., JAEE, Tokyo, Japan, 697–704 (in Japanese).
Schnabel, P. B., Lysmer, J., and Seed, H. B. (1972). “A computer program for earthquake response analysis of horizontally layered sites.” EERC Rep., Univ. of California, Berkeley, Calif., 72–12.
Soong, T. T., and Dargush, G. F. (1997). Passive energy dissipation systems in structural engineering, Wiley, New York.
Tajimi, H. (1980). “A contribution to theoretical prediction of dynamic stiffness of surface foundations.” Proc., 7th World Conf. on Earthquake Engineering, IAEE, Istanbul, Turkey, 105–112.
Takahashi, Y., and Sota, S. (1998). “Response analysis method for structures with viscoelastic dampers simulated by generalized Maxwell models.” J. Struct. Constr. Eng., 511, 85–91 (in Japanese).

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 134Issue 7July 2008
Pages: 530 - 541

History

Received: Apr 6, 2006
Accepted: Jan 22, 2008
Published online: Jul 1, 2008
Published in print: Jul 2008

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Andrew W. Smyth

Authors

Affiliations

Naohiro Nakamura, M.ASCE
Chief Researcher, R&D Institute, Takenaka Corporation, 1-5-1 Otsuka, Inzai City 270-1395, Japan. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share