A Mindlin-Based Improved Newmark Method for the Seismic Stability of Anchored Slopes with Group Anchor Effects

As the lifespan of many anchored slope reinforcements in China approaches its end, there is an increased need for secondary reinforcement. This study addresses the interaction between new and existing anchors, a critical but challenging aspect. The study introduces the Anchor Rod Modified Newmark Sl...

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Main Authors: Xuegang Pan, Jinqing Jia, Shiyuan Ju
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Buildings
Subjects:
Online Access:https://www.mdpi.com/2075-5309/15/8/1242
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author Xuegang Pan
Jinqing Jia
Shiyuan Ju
author_facet Xuegang Pan
Jinqing Jia
Shiyuan Ju
author_sort Xuegang Pan
collection DOAJ
description As the lifespan of many anchored slope reinforcements in China approaches its end, there is an increased need for secondary reinforcement. This study addresses the interaction between new and existing anchors, a critical but challenging aspect. The study introduces the Anchor Rod Modified Newmark Sliding Block Method (AMNB), which enhances the traditional Newmark Sliding Block Method (NSBM) by incorporating maximum anchor rod tension, dynamic tension changes, and group anchor effects. This improvement enhances the prediction of seismic displacement in slopes with multiple anchors. The AMNB method represents an innovation in slope stability analysis, as it is the first to integrate these dynamic and interactive factors into a unified framework. Validation through comparison with established seismic permanent displacement calculations and the analysis of three typical seismic motions show the AMNB’s effectiveness in capturing dynamic behaviors under seismic excitation. Additionally, numerical simulations using FLAC3D were conducted to validate the proposed method. The results indicate that considering group anchor effects and dynamic tension changes reduces the predicted seismic permanent displacement by up to 10% compared to traditional methods. The proposed AMNB method aligns more closely with the numerical simulation results. The findings indicate that group anchor effects negatively impact anchor forces, dynamic yield accelerations, and seismic displacements, leading to lower anchor tensions and dynamic yield accelerations. This, in turn, results in larger final slope permanent displacements under the same conditions.
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spelling doaj-art-59e018e7979046aaaeb565cece7edf9d2025-08-20T03:14:15ZengMDPI AGBuildings2075-53092025-04-01158124210.3390/buildings15081242A Mindlin-Based Improved Newmark Method for the Seismic Stability of Anchored Slopes with Group Anchor EffectsXuegang Pan0Jinqing Jia1Shiyuan Ju2State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaAs the lifespan of many anchored slope reinforcements in China approaches its end, there is an increased need for secondary reinforcement. This study addresses the interaction between new and existing anchors, a critical but challenging aspect. The study introduces the Anchor Rod Modified Newmark Sliding Block Method (AMNB), which enhances the traditional Newmark Sliding Block Method (NSBM) by incorporating maximum anchor rod tension, dynamic tension changes, and group anchor effects. This improvement enhances the prediction of seismic displacement in slopes with multiple anchors. The AMNB method represents an innovation in slope stability analysis, as it is the first to integrate these dynamic and interactive factors into a unified framework. Validation through comparison with established seismic permanent displacement calculations and the analysis of three typical seismic motions show the AMNB’s effectiveness in capturing dynamic behaviors under seismic excitation. Additionally, numerical simulations using FLAC3D were conducted to validate the proposed method. The results indicate that considering group anchor effects and dynamic tension changes reduces the predicted seismic permanent displacement by up to 10% compared to traditional methods. The proposed AMNB method aligns more closely with the numerical simulation results. The findings indicate that group anchor effects negatively impact anchor forces, dynamic yield accelerations, and seismic displacements, leading to lower anchor tensions and dynamic yield accelerations. This, in turn, results in larger final slope permanent displacements under the same conditions.https://www.mdpi.com/2075-5309/15/8/1242multi-anchored slopesearthquake engineeringdynamic tension changesgroup anchor effectAnchor Rod Modified Newmark Sliding Block Method
spellingShingle Xuegang Pan
Jinqing Jia
Shiyuan Ju
A Mindlin-Based Improved Newmark Method for the Seismic Stability of Anchored Slopes with Group Anchor Effects
Buildings
multi-anchored slopes
earthquake engineering
dynamic tension changes
group anchor effect
Anchor Rod Modified Newmark Sliding Block Method
title A Mindlin-Based Improved Newmark Method for the Seismic Stability of Anchored Slopes with Group Anchor Effects
title_full A Mindlin-Based Improved Newmark Method for the Seismic Stability of Anchored Slopes with Group Anchor Effects
title_fullStr A Mindlin-Based Improved Newmark Method for the Seismic Stability of Anchored Slopes with Group Anchor Effects
title_full_unstemmed A Mindlin-Based Improved Newmark Method for the Seismic Stability of Anchored Slopes with Group Anchor Effects
title_short A Mindlin-Based Improved Newmark Method for the Seismic Stability of Anchored Slopes with Group Anchor Effects
title_sort mindlin based improved newmark method for the seismic stability of anchored slopes with group anchor effects
topic multi-anchored slopes
earthquake engineering
dynamic tension changes
group anchor effect
Anchor Rod Modified Newmark Sliding Block Method
url https://www.mdpi.com/2075-5309/15/8/1242
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AT shiyuanju amindlinbasedimprovednewmarkmethodfortheseismicstabilityofanchoredslopeswithgroupanchoreffects
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