Abstract

In this work, a new method for nonlinear time-history earthquake analysis of 2D steel frames by a fiber plastic hinge method is presented. The beam-column element based on the displacement-based finite element method is established and formulated in detail using a fiber plastic hinge approach and stability functions. Geometric nonlinearities are taken into accounting by stability functions and the geometric stiffness matrix. A nonlinear dynamic algorithm is established based on the combination of the Newmark integration method and the Newton-Raphson iterative algorithm for solving dynamic equations. The proposed program predicts the nonlinear inelastic responses of 2D steel frames subjected to earthquakes as efficiently and accurately as commercial software. This study also shows that the initial residual stresses of steel should be considered in nonlinear inelastic time-history earthquake analysis of 2D steel frames while SAP2000 does not consider the effects of residual stresses.

Highlights

  • Nowadays, steel frames are widely used in civil engineering and pre-engineering buildings

  • There are several studies on steel frames subjected to dynamic loadings using finite element method

  • In 1985, Vogel [33] proposed a portal steel frame subjected to static loadings for verifying the accuracy of the nonlinear inelastic analysis of finite element programs

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Summary

INTRODUCTION

Steel frames are widely used in civil engineering and pre-engineering buildings. There are two analysis methods for designing steel structures: first-order elastic analysis and direct analysis. In the first-order elastic analysis, structures are assumed to be still elastic, and the effects of nonlinearities are neglected, while in the direct analysis, all important nonlinear phenomena, such as the plasticity of materials, geometric nonlinearity, residual stresses, the flexibility of connections, etc., are considered. In 1994, authors in [21] studied the seismic behavior of two-story steel frames with semi-rigid connections. Authors in [22] studied the dynamic behavior of steel frames with beam flanges shaved around the weld connection. A fiber plastic hinge method for nonlinear inelastic time-history earthquake analysis of 2D steel frames was developped. The proposed program can be developed for direct analysis and design of steel frames

NONLINEAR 2D BEAM-COLUMN
Fiber Plastic Hinge
Shear Deformation
NONLINEAR SOLUTION
VERIFICATION AND DISCUSSION
CONCLUSION
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