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Second-Order Elastic Stability Analysis of Steel Semi-Rigid Frame

Qin Rong

Abstract

The mechanical properties of semi-rigid connection were simulated by rotational spring and Kish-Chen three-parameter model.A common semi-rigid beam element model with zero-length rotational spring at both ends of the beam was used.Based on the beam-column method,with second-order effect and semi-rigid connection considered,the element stiffness equation and matrix were derived by differential equations and stability function.According to the modified Newton-Raphson iteration method,the calculation format of second-order elastic stability analysis for the steel frames was constituted.Finally,through the analysis of a typical steel frame,the impact of semi-rigid connection and second-order effect on the stability was studied.

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Key concepts: Stiffness, Beam (structure), Connection (principal bundle), Stiffness matrix, Spring (device), Direct stiffness method, Rigid frame, Stability (learning theory)