Analysis of the response of a reinforced concrete shear wall structure during earthquakes using the transfer matrix method of multibody systems

Jianguo Ding,Chunwei Wang,Huijia Huang,Wei Zhuang

doi:10.1177/1687814016650569

Jianguo Ding, Chunwei Wang + Show 2 more

Open Access

https://doi.org/10.1177/1687814016650569

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Abstract

Although reinforced concrete shear wall structures are widely used in high-rise buildings, the methods used to analyze the seismic response of such a structure during an earthquake generally have low calculation efficiencies. In this article, the transfer matrix method of multibody systems is first established as a mechanical model of a regular reinforced concrete shear wall structure with both bifurcated and closed transfer paths to analyze the seismic responses of structures. By separating the shear wall legs, establishing a state vector relationship between the two endpoints of the coupling beams, and combining all state vectors of the inputs or outputs of each shear wall leg, the total transfer between shear wall legs is realized, and the overall transfer equation and overall transfer matrix of a shear wall structure are obtained. Applying the transfer matrix method of multibody systems, a 15-story shear wall structure is used as an engineering example to analyze seismic responses for frequent and rare earthquakes using MATLAB software. The findings show that the transfer matrix method of multibody systems provides similar results to ANSYS but that the transfer matrix method of multibody systems greatly increases calculation efficiency while maintaining accuracy.

Highlights

Urban population density has been increasing with the development of high-rise buildings, and the consequences of earthquake damage on these buildings are severe
Based on MSTMM and ANSYS, the base shear force time-history curves for the shear wall leg b during frequently occurring earthquakes with the El Centro, Taft, and Nanjing waves are shown in Figures 16–18, respectively
Based on the MSTMM and ANSYS, the base shear force time-history curves for shear wall leg b during rarely occurring earthquakes under the El Centro, Taft, and Nanjing waves are shown in Figures 22–24, respectively

Summary

Introduction

Urban population density has been increasing with the development of high-rise buildings, and the consequences of earthquake damage on these buildings are severe. The main focus of seismic research on high-rise structures is determining how to establish reasonable mechanical models for different structures, and how to use efficient calculation methods for dynamic analyses of these structures. Sun and Li13 derived a precise transfer matrix format for buckling analysis of a compression bar under an axial load and calculated the critical loads of the compression bar with different boundary constraints based on the theory of the precise transfer matrix method They derived the transfer matrixes from the planes of curved bridges based on the fast Fourier transform (FFT) and determined the relationship between the quality and the inertial force of the point transfer matrix for vibration analysis.[14] They combined the TMM and the computing skills of exponent for precise integration method and dynamically analyzed the structure in the frequency domain.[15]. According to the geometric relationship of the rigid body motion and using the linearized trigonometric " xIj yIj

C C Ij Ij

Uan2 Uan1 Á Á Á U2a22 Ua21 U2a12 Ua311

UI1 03 3 7 5 U4I2

The yielding state under pressure is

Conclusion