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Nonlinear Dynamic Response of Framed Structures Using the Mode Superposition Method

Mohamed W. Fahmy, Ahmad H. Namini

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Abstract

This paper describes a methodology for nonlinear dynamic response analysis of framed structures using the mode superposition method. A portal frame example is presented and compared to classical methods for determination of critical buckling loads. Results indicate that the critical buckling load via a dynamic analysis is one-half that of a static analysis due to a dynamic magnification factor of two for long duration dynamic loads of constant magnitude.

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What this paper is about

This paper describes a methodology for nonlinear dynamic response analysis of framed structures using the mode superposition method. A portal frame example is presented and compared to classical methods for determination of critical buckling loads. Results indicate that the critical buckling load via a dynamic analysis is one-half that of a static analysis due to a dynamic magnification factor of two for long duration dynamic loads of constant magnitude.

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Available abstract

This paper describes a methodology for nonlinear dynamic response analysis of framed structures using the mode superposition method. A portal frame example is presented and compared to classical methods for determination of critical buckling loads. Results indicate that the critical buckling load via a dynamic analysis is one-half that of a static analysis due to a dynamic magnification factor of two for long duration dynamic loads of constant magnitude.

Key concepts: Superposition principle, Structural dynamics, Nonlinear system, Buckling, Structural engineering, Response analysis, Mode (computer interface), Dynamic load testing

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