Structural Engineering and Mechanics

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Numerical calculation method for response of friction pendulum system when XY shear keys are sheared asynchronously

  • Wei, Biao (School of Civil Engineering, Central South University) ;
  • Fu, Yunji (School of Civil Engineering, Central South University) ;
  • Jiang, Lizhong (School of Civil Engineering, Central South University) ;
  • Li, Shanshan (School of Civil Engineering, Central South University)
  • Received : 2021.01.07
  • Accepted : 2021.12.13
  • Published : 2022.03.10
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Abstract

When the friction pendulum system and shear keys work together to resist the ground motion, which inclined inputs (non 45°) to the bridge structure, the shear keys in XY direction will be sheared asynchronously, endowed the friction pendulum system with a violent curvilinear motion on the sliding surface during earthquakes. In view of this situation, firstly, this paper abandons the equivalent linearization model of friction and constructs a Spring-Coulomb friction plane isolation system with XY shear keys, and then makes a detailed mechanical analysis of the movement process of friction pendulum system, next, this paper establishes the mathematical model of structural time history response calculation by using the step-by-step integration method, finally, it compiles the corresponding computer program to realize the numerical calculation. The results show that the calculation method in this paper takes advantage of the characteristic that the friction force is always µmg, and creatively uses the "circle making method" to express the change process of the friction force and resultant force of the friction pendulum system in any calculation time step, which can effectively solve the temporal nonlinear action of the plane friction; Compared with the response obtained by the calculation method in this paper, the peak values of acceleration response and displacement response calculated by the unidirectional calculation model, which used in the traditional research of the friction pendulum system, are smaller, so the unidirectional calculation model is not safe.

Keywords

Acknowledgement

The research described in this paper was financially supported by the Natural Science Foundation of China under grant No. 51778635, U1934207 and 51978667, the Natural Science Foundations of Hunan Province under grant No.2019JJ40386. The above support is greatly appreciated.

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