Analytical Solution of Dynamic Response of Prestressed Anchor Cable in Rock Slope Under Earthquake

doi:10.12068/j.issn.1005-3026.2025.20239064

Abstract

Abstract:

In order to clarify the dynamic response of prestressed anchor cable in rock slope under earthquake， a set of anchor cable dynamic calculation models based on the synergistic action of dangerous rock mass， free section of anchor cable， slope structural plane， anchorage section of anchor cable and bedrock is proposed， and the analytical solution of dynamic response of anchor cable is obtained. The accuracy of the anchor cable dynamic calculation model is verified by the centrifuge model test， and the key parameters are analyzed according to an engineering case. The results show that the increase of seismic circular frequency can trigger the slope resonance effect， and the peak value of axial force increment in the free segment of anchor cable increases significantly. With the increase of bedrock shear modulus， the spring stiffness and damping coefficient of the anchorage interface increase， the axial transmission of the dynamic response is limited， and the top of the anchorage segment undertakes a larger shear stress increment. The damping ratio of the structural plane and the Poisson’s ratio of the bedrock have little influence on the axial force increment of the free segment and the internal force increment distribution in anchorage segment of the anchor cable， so these parameters are not taken as the key object in seismic design of the anchor cable. The research results can provide theoretical basis for dynamic analysis and seismic design of prestressed anchor cable.

Key words: prestressed anchor cable, rock slope, earthquake, dynamic response, analytical solution

CLC Number:

TU 435

Xing GAO, Jin-qing JIA, Li-hua ZHANG, Bing-xiong TU. Analytical Solution of Dynamic Response of Prestressed Anchor Cable in Rock Slope Under Earthquake[J]. Journal of Northeastern University(Natural Science), 2025, 46(5): 134-144.

Figures/Tables 14

Fig.1 Schematic diagram of prestressed anchor cable supporting slope

Fig.2 Dynamic calculation model of anchored slope vibration system

Fig.3 Dynamic calculation model of single anchor structure of prestressed anchor cable

Fig.4 Force diagram of the anchoring micro-section

Fig.5 Schematic diagram of centrifuge model test

Table 1 Physical and mechanical parameters

名称

材料

密度/

(kg·m^-3)

Fig.6 Comparison of axial stress calculated by dynamic model and centrifuge model test

Table 2 Calculation parameters

锚固段

长度/m

孔径/m

自由段弹性

模量/GPa

Fig.7 Dynamic response of internal forces in anchorage segment

Fig.8 Influence of different circular frequencies on axial force in free segment

Fig.9 Influence of different structural plane stiffness on axial force in free segment

Fig.10 Influence of different structural plane damping ratios on axial force in free segment

Fig.11 Peak increment of internal forces and influence coefficient in anchorage segment under different shear modulus

Fig.12 Peak increment of internal forces and influence coefficient in anchorage segment under different Poisson’s ratios

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