SEISMIC APPLICATIONS OF NONLINEAR RESPONSE SPECTRA BASED ON THE THEORY OF MODAL ANALYSIS

Published

January 28, 2011

Author(s)

Kevin K. Wong

Abstract

A fast nonlinear response spectra analysis algorithm based on the theory of modal analysis and superposition is proposed to overcome the drawbacks of using the time-consuming nonlinear response history analysis in seismic design. Because linear modal analysis has found great acceptances in performance-based seismic engineering, it is here extended to the nonlinear domain by using the force analogy method that links the global responses with local inelasticity of the structure. Geometric nonlinearity is incorporated into the analysis through modifying the initial stiffness matrices due to gravity loads. By ignoring geometric stiffness update, the theory of modal analysis and superposition is easily incorporated into the proposed algorithm. Numerical simulation is performed to demonstrate the accuracy of the algorithm in capturing both the maximum global and local responses.

Proceedings Title

The Twelfth East Asia-Pacific Conference on Structural Engineering and Construction (EASEC-12)

Conference Dates

January 26-28, 2011

Conference Location

Kowloon,

Pub Type

Conferences

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Keywords

Nonlinear modal analysis, force analogy method, state space method, geometric nonlinearity, response spectra analysis.

Citation

Wong, K. (2011), SEISMIC APPLICATIONS OF NONLINEAR RESPONSE SPECTRA BASED ON THE THEORY OF MODAL ANALYSIS, The Twelfth East Asia-Pacific Conference on Structural Engineering and Construction (EASEC-12), Kowloon, , [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=906076 (Accessed October 8, 2025)