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Self-similar interstory drift spectrum and response distribution of flexural-shear beam with nonuniform lateral stiffness

  • Guiqiang Guo
  • Xi Chen
  • Dixiong YangEmail author
  • Yunhe Liu
Original Research
  • 41 Downloads

Abstract

This paper proposes the concept of self-similar interstory drift spectrum based on the dimensional analysis of flexural-shear beam with nonuniform lateral stiffness, and scrutinizes the effects of lateral stiffness reduction on the seismic responses and response distribution. Firstly, the finite element formulation for the combined beam is established, which is convenient for parametric analysis. Subsequently, the intrinsic length scale and time scale are proposed to conduct correctly the dimensional analysis for seismic responses of flexural-shear beam, indicating that the normalized maximum interstory drift ratio and normalized maximum floor acceleration present a complete similarity in the normalized building height and the beauty of order. Hence, the concept of self-similar interstory drift spectrum is suggested to avoid the use of empirical relationship between fundamental period and building height. Moreover, the effects of lateral stiffness reduction on the normalized responses and response distribution of flexural-shear beam are examined under the idealized pulses and near-fault ground motions. With the exception of significant stiffness reduction, the effect of lateral stiffness reduction is generally small. In particular, the vertical distribution of interstory drift mainly depends on the structural type, whereas the floor acceleration generally increases along the building height. Finally, the established regression model can sufficiently fit the mean self-similar interstory drift spectrum and mean self-similar floor acceleration spectrum, and the normalized seismic responses can be well predicted by the fitted curves.

Keywords

Flexural-shear beam Nonuniform lateral stiffness Dimensional analysis Intrinsic length scale and time scale Self-similar interstory drift spectrum Near-fault ground motions 

Notes

Acknowledgements

The supports of the National Natural Science Foundation of China (Grant Nos. 51478086 and 11772079), and the Open Foundation of State Key Laboratory of Disaster Reduction in Civil Engineering (Grant No. SLDRCE17-03) are much appreciated. Also, the authors thank Dr. Andrés Alonso-Rodríguez for providing us the MATLAB code of the closed-form solution for the flexural-shear beam with nonuniform lateral stiffness along the height.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering MechanicsDalian University of TechnologyDalianChina
  2. 2.State Key Laboratory of Eco-Hydraulics in Northwest Arid Region of China, School of Civil Engineering and ArchitectureXi’an University of TechnologyXi’anChina

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