Abstract
Frame prestressed anchor bolt systems are widely employed in slope engineering, wherein the stability of multi-stage slopes represents a core element of construction safety. Research on the sensitivity of influencing factors and the correlation between stability and displacement for multi-stage slopes holds significant theoretical value and practical importance for the optimization design of support systems. This paper utilizes an actual engineering case as background, employing grey relational analysis to calculate grey relational degrees, thereby ranking, summarizing, and analyzing the sensitivity of each factor. Finally, combined with single-factor analysis, the correlation between stability and displacement is investigated, and the relationship curve between stability coefficient and displacement within a certain range is obtained. The results demonstrate that the four most sensitive influencing factors for the stability of multi-stage slopes reinforced by frame prestressed anchor bolts are internal friction angle, unit weight, anchor length, and slope angle. Furthermore, cohesion, anchor inclination angle, frame beam cross-section side length, frame beam vertical spacing, frame beam horizontal spacing, free segment axial stiffness, and friction resistance also exert certain influences on stability, whereas platform width, free segment length variation, and anchor segment diameter have relatively minor effects on the stability of multi-stage slopes reinforced by frame prestressed anchor bolts compared to other factors. Further analysis reveals that as the slope stability coefficient increases, the maximum slope displacement decreases correspondingly, exhibiting a negative correlation between the two.
Full Text
Analysis of Factor Sensitivity and Displacement Correlation for Multi-Stage Slope Stability Reinforced by Frame Prestressed Anchor Bolts
LI Jingbang¹,², LI Nianxiang², YE Shuaihua*²
¹ School of Civil Engineering, Lanzhou Institute of Technology, Lanzhou 730050, Gansu, China
² School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, Gansu, China
Abstract
Frame prestressed anchor bolt systems are widely employed in slope engineering, where multi-stage slope stability constitutes a critical element of construction safety. Investigating the sensitivity of influencing factors and their correlation with displacement for multi-stage slope stability holds significant theoretical value and practical importance for optimizing support system design. This study examines an actual engineering case using grey relational analysis to calculate grey relational degrees, thereby ranking and evaluating the sensitivity of various factors. Combined with single-factor analysis, the relationship between stability and displacement is investigated, yielding a correlation curve between the stability coefficient and displacement within a specific range.
The results demonstrate that the four most sensitive factors affecting the stability of frame prestressed anchor bolt-reinforced multi-stage slopes are the internal friction angle, unit weight, anchor length, and slope angle. Additionally, cohesion, anchor inclination, frame beam cross-sectional dimensions, vertical and horizontal spacing of frame beams, free-section axial stiffness, and frictional resistance exert certain influences on stability, whereas platform width, free-section length variation, and anchor diameter have relatively minor impacts compared to other factors. Further analysis reveals a negative correlation between the stability coefficient and maximum displacement, with displacement decreasing as stability increases.
Keywords: frame prestressed anchor bolt; multi-stage slope; stability; grey relational analysis method; sensitivity