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Linear modal analysis and superposition technique has been used extensively in earthquake engineering and seismic applications for decades, and it is here extended to the nonlinear domain by representing the material nonlinearity using the force analogy method and computing the modal dynamics using the state space method. Combining these two methods with the modal analysis technique represents an attempt to create one great leap forward to a simplified approach of conducting nonlinear dynamic analysis. Numerical simulation is performed and the results are compared with Perform-3D commercial software to validate the precision of the proposed algorithm. Results show that the proposed algorithm processes high accuracy and efficiency.
Proceedings Title
9th US National and 10th Canadian Conference on Earthquake Engineering: Reaching Beyond Borders
Wong, K.
and Harris, J.
(2010),
NONLINEAR MODAL ANALYSIS AND SUPERPOSITION, 9th US National and 10th Canadian Conference on Earthquake Engineering: Reaching Beyond Borders, Toronto, -1, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=903563
(Accessed October 8, 2025)