Abstract

Abstract The analysis method of the simplified structure formation model provides the basis for the analysis of the reinforced concrete (RC) structure under earthquake and dynamic load, which has important significance for seismic analysis of RC structure. In this paper, the three-layer RC frame structure is simulated and analyzed by MATLAB based on the NewMark-β method, considering the influence of time-varying simple harmonic loads and seismic waves on acceleration, displacement, and velocity of RC structure. The vibration response of the RC structure is analyzed by introducing the stiffness reduction coefficient. The results show that NewMark-β method provides a new idea for the seismic response of RC frame structures, making the seismic analysis of frame structures more practical; the variation range of its elastic modulus is obtained through the analysis of the constitutive model of RC, which provides the basis for the value of the stiffness coefficient; the application of the top load and the bottom load has different structural responses to the RC frame structure, and the impact of the load on the structure is more adverse when the load acts on the bottom; with the change of time, the binding stiffness coefficient will also change, and the stability of the structure will decrease greatly; the function relationship between the acceleration of the third floor and the reduction coefficient of rigidity is obtained by taking different values of the reduction coefficient of rigidity.

Highlights

  • The progress of the construction industry is prominent [1]

  • Stiffness degradation occurs in plastic hinge areas of reinforced concrete (RC) frame structures under repeated loads

  • The stiffness reduction coefficient of the scaffold column took into account an overall comprehensive stiffness reduction coefficient

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Summary

Introduction

The progress of the construction industry is prominent [1]. Building forms are changing with each passing day, especially many high-rise buildings. Al-Rumaithi [11] calculated the dynamic response multi-degree-of-freedom nonclassical damping linear system by MDOF based on idealized shear stiffness matrix construction and assuming that all floors have the quality. Shang and Zhuang [27] simulated the hysteretic relationship of RC columns based on the uniaxial tension and compression of concrete provided by China Code for Design of Concrete Structures [28] These constitutive relations can well reflect the variation trend of elastic modulus in the loading process, so that the change rate of stiffness can be analyzed [28]. 1, NewMark-β method is unconditionally stable; when β < 1 , it is conditionally stable [30]

Introduction to NewMark-β method
Structural stiffness reduction of RC structure
Structural response analysis
Influences of the stiffness reduction factor leading to regression analysis
Conclusion

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