Plant root systems serve as a natural reinforcing material,significantly improving soil stability.Furthermore,the tensile strength of soil is crucial in mitigating the formation of cracks.Consequently,this study aims ...Plant root systems serve as a natural reinforcing material,significantly improving soil stability.Furthermore,the tensile strength of soil is crucial in mitigating the formation of cracks.Consequently,this study aims to investigate the influence of plant roots on the tensile strength of soil.For this investigation,Amorpha fruticose was selected due to its large root diameter and the ease of root extraction.Indoor tensile tests were conducted on individual roots and root-soil complexes under three varying factors.The results indicate a power law relationship between root diameter and tensile strength.Increased root content and dry density notably enhance the tensile strength of the root-soil complex while roots mitigate damage associated with soil brittleness.When root content increases from 0 to 10,the maximum enhancement in tensile strength of the root-soil complex reaches 42.3 kPa.The tensile strength of the root-soil complex at a dry density of 1.7 g/cm^(3)is four to five times greater than that of the complex at a dry density of 1.4 g/cm^(3).Moreover,as moisture content increases,the tensile strength of the root-soil complex initially rises before declining,with an increase range of 7.7-35.8 kPa.These findings provide a scientific basis for understanding the role of vegetation roots in soil tensile strength and for guiding slope reinforcement strategies.展开更多
Based on a graph-theoretic analysis,we determine all the irreducible reflection subgroups of the imprimitive complex reflection groups G(m,p,n),and describe the irreducible subsystems of all possible types in the root...Based on a graph-theoretic analysis,we determine all the irreducible reflection subgroups of the imprimitive complex reflection groups G(m,p,n),and describe the irreducible subsystems of all possible types in the root system R(m,p,n) of G(m,p,n).展开更多
This paper is devoted to the study of two dimensional complex analytic systems. Byintroducing the concept of knowability at infinity, we prove a Strong Rooted Theorem on a class of complex analytic systems.
复杂设备早期微小故障检测是故障检测与诊断领域的难题,系统状态和参数发生阶跃变化或者缓慢漂移是这类故障的主要特征.本文在正交性原理的基础上,提出一种强跟踪平方根中心差分卡尔曼滤波(Square-root center diference Kalman filter,...复杂设备早期微小故障检测是故障检测与诊断领域的难题,系统状态和参数发生阶跃变化或者缓慢漂移是这类故障的主要特征.本文在正交性原理的基础上,提出一种强跟踪平方根中心差分卡尔曼滤波(Square-root center diference Kalman filter,SR-CDKF),即SSR-CDKF,并将SSR-CDKF应用于复杂设备的早期微小故障检测中.仿真结果表明,SSRCDKF能够更准确地估计系统状态和参数,更迅速地跟踪系统和参数突变情况.通过仿真计算比较滤波器在不同参数取值下的方差值,得出了选择合适参数的方法.最后利用该算法检测出了陀螺仪的早期微小故障.展开更多
基金The authors would like to acknowledge financial support from the Joint Funds of the National Nature Science Foundation of China(No.U22A20232)Supported by Open Project Funding of Key Laboratory of Intelligent Health Perception and Ecological Restoration of Rivers and Lakes,Ministry of Education(HGKFZ07)+2 种基金the National Natural Science Foundation of China(No.51978249)Innovation Research Team Project of the Hubei Provincial Department of Science and Technology(JCZRQT202500027)the International Collaborative Research Fund for Young Scholars in the Innovation Demonstration Base of Ecological Environment Geotechnical and Ecological Restoration of Rivers and Lakes.
文摘Plant root systems serve as a natural reinforcing material,significantly improving soil stability.Furthermore,the tensile strength of soil is crucial in mitigating the formation of cracks.Consequently,this study aims to investigate the influence of plant roots on the tensile strength of soil.For this investigation,Amorpha fruticose was selected due to its large root diameter and the ease of root extraction.Indoor tensile tests were conducted on individual roots and root-soil complexes under three varying factors.The results indicate a power law relationship between root diameter and tensile strength.Increased root content and dry density notably enhance the tensile strength of the root-soil complex while roots mitigate damage associated with soil brittleness.When root content increases from 0 to 10,the maximum enhancement in tensile strength of the root-soil complex reaches 42.3 kPa.The tensile strength of the root-soil complex at a dry density of 1.7 g/cm^(3)is four to five times greater than that of the complex at a dry density of 1.4 g/cm^(3).Moreover,as moisture content increases,the tensile strength of the root-soil complex initially rises before declining,with an increase range of 7.7-35.8 kPa.These findings provide a scientific basis for understanding the role of vegetation roots in soil tensile strength and for guiding slope reinforcement strategies.
基金supported by National Natural Science Foundation of China(Grant Nos.10631010,10971138)the General Research Project of Shanghai Normal University (Grant No.SK200702)+2 种基金the Science Foundation of University Doctoral Project of China (Grant No.20060269011)Program for Changjiang Scholars and Innovative Research Team in University (Grant No.41192803)Shanghai Leading Academic Discipline Project (Grant No.B407)
文摘Based on a graph-theoretic analysis,we determine all the irreducible reflection subgroups of the imprimitive complex reflection groups G(m,p,n),and describe the irreducible subsystems of all possible types in the root system R(m,p,n) of G(m,p,n).
文摘This paper is devoted to the study of two dimensional complex analytic systems. Byintroducing the concept of knowability at infinity, we prove a Strong Rooted Theorem on a class of complex analytic systems.
文摘复杂设备早期微小故障检测是故障检测与诊断领域的难题,系统状态和参数发生阶跃变化或者缓慢漂移是这类故障的主要特征.本文在正交性原理的基础上,提出一种强跟踪平方根中心差分卡尔曼滤波(Square-root center diference Kalman filter,SR-CDKF),即SSR-CDKF,并将SSR-CDKF应用于复杂设备的早期微小故障检测中.仿真结果表明,SSRCDKF能够更准确地估计系统状态和参数,更迅速地跟踪系统和参数突变情况.通过仿真计算比较滤波器在不同参数取值下的方差值,得出了选择合适参数的方法.最后利用该算法检测出了陀螺仪的早期微小故障.
