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Formation-containment control for nonholonomic multi-agent systems with a desired trajectory constraint
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作者 GU Xueqiang LU Lina +1 位作者 XIANG Fengtao ZHANG Wanpeng 《Journal of Systems Engineering and Electronics》 2025年第1期256-268,共13页
This paper addresses the time-varying formation-containment(FC) problem for nonholonomic multi-agent systems with a desired trajectory constraint, where only the leaders can acquire information about the desired traje... This paper addresses the time-varying formation-containment(FC) problem for nonholonomic multi-agent systems with a desired trajectory constraint, where only the leaders can acquire information about the desired trajectory. Input the fixed time-varying formation template to the leader and start executing, this process also needs to track the desired trajectory, and the follower needs to converge to the convex hull that the leader crosses. Firstly, the dynamic models of nonholonomic systems are linearized to second-order dynamics. Then, based on the desired trajectory and formation template, the FC control protocols are proposed. Sufficient conditions to achieve FC are introduced and an algorithm is proposed to resolve the control parameters by solving an algebraic Riccati equation. The system is demonstrated to achieve FC, with the average position and velocity of the leaders converging asymptotically to the desired trajectory. Finally, the theoretical achievements are verified in simulations by a multi-agent system composed of virtual human individuals. 展开更多
关键词 multi-agent systems nonholonomic dynamics formation-containment(FC)control desired trajectory constrains
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Desired Dynamic Equation for Primary Frequency Modulation Control of Gas Turbines
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作者 Aimin Gao Xiaobo Cui +2 位作者 Guoqiang Yu Jianjun Shu Tianhai Zhang 《Energy Engineering》 EI 2024年第5期1347-1361,共15页
Gas turbines play core roles in clean energy supply and the construction of comprehensive energy systems.The control performance of primary frequency modulation of gas turbines has a great impact on the frequency cont... Gas turbines play core roles in clean energy supply and the construction of comprehensive energy systems.The control performance of primary frequency modulation of gas turbines has a great impact on the frequency control of the power grid.However,there are some control difficulties in the primary frequency modulation control of gas turbines,such as the coupling effect of the fuel control loop and speed control loop,slow tracking speed,and so on.To relieve the abovementioned difficulties,a control strategy based on the desired dynamic equation proportional integral(DDE-PI)is proposed in this paper.Based on the parameter stability region,a parameter tuning procedure is summarized.Simulation is carried out to address the ease of use and simplicity of the proposed tuning method.Finally,DDE-PI is applied to the primary frequency modulation system of an MS6001B heavy-duty gas turbine.The simulation results indicate that the gas turbine with the proposed strategy can obtain the best control performance with a strong ability to deal with system uncertainties.The proposed method shows good engineering application potential. 展开更多
关键词 Gas turbine primary frequency modulation(PFM) desired dynamic equation(DDE) proportion-integral(PI)
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New Method for Confirming the Desired Safety Headway Distance and Desired Deceleration in ACC System 被引量:1
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作者 张景波 刘昭度 +1 位作者 宋明 齐志权 《Journal of Beijing Institute of Technology》 EI CAS 2005年第2期175-178,共4页
A new method of confirming the desired safety headway distance and desired deceleration is put forward according to the detected static or moving target and its simulation results in Matlab are also presented. The val... A new method of confirming the desired safety headway distance and desired deceleration is put forward according to the detected static or moving target and its simulation results in Matlab are also presented. The validity of the algorithm to calculate the reference speeds of both the ACC vehicle and the targeted car according to the vector quadrangle composed of the relative distance, the relative azimuth angle, the relative speeds of the vehicles has also been demonstrated through numerical example in Matlab. New laws to obtain the desired deceleration by estimating the braking force according to the vehicle analyses force equation are established too. 展开更多
关键词 adaptive cruiser control (ACC) desired safety headway distance desired deceleration reference speed
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A cellular automata traffic flow modeling of desired speed variability 被引量:7
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作者 K. Bentaleb K. Jetto +1 位作者 H. Ez-Zahraouy A. Benyoussef 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第1期574-577,共4页
The satisfaction rate of desired velocity in the case of a mixture of fast and slow vehicles is studied by using a cellular automaton method. It is found that at low density the satisfaction rate depends on the maxima... The satisfaction rate of desired velocity in the case of a mixture of fast and slow vehicles is studied by using a cellular automaton method. It is found that at low density the satisfaction rate depends on the maximal velocity. However, the behavior of the satisfaction rate as a function of the coefficient of variance is independent of the maximal velocity. This is in good agreement with empirical results obtained by Lipshtat [Phys. Rev. E 79 066110 (2009)]. Furthermore, our numerical result demonstrates that at low density the satisfaction rate takes higher values, whereas the coefficient of variance is close to zero. The coefficient of variance increases with increasing density, while the satisfaction rate decreases to zero. Moreover, we have also shown that, at low density the coefficient variance depends strongly on the probability of overtaking. 展开更多
关键词 TRAFFIC celluar automata satisfaction coefficient desired speed
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A new coupled map car-following model considering drivers' steady desired speed 被引量:6
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作者 周桐 孙棣华 +1 位作者 李华民 刘卫宁 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第5期41-45,共5页
Based on the pioneering work of Konishi et al., in consideration of the influence of drivers' steady desired speed ef/ect on the traffic flow, we develop a new coupled map car-following model in the real world. By us... Based on the pioneering work of Konishi et al., in consideration of the influence of drivers' steady desired speed ef/ect on the traffic flow, we develop a new coupled map car-following model in the real world. By use of the control theory, the stability condition of our model is derived. The validity of the present theoretical scheme is verified via numerical simulation, confirming the correctness of our theoretical analysis. 展开更多
关键词 traffic flow traffic congestion coupled map car-following model steady desired speed effect
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Fuzzy neural network control of underwater vehicles based on desired state programming 被引量:6
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作者 LIANG Xiao LI Ye XU Yu-ru WAN Lei QIN Zai-bai 《Journal of Marine Science and Application》 2006年第3期1-4,共4页
Due to the nonlinearity and uncertainty, the precise control of underwater vehicles in some intelligent operations hasn’t been solved very well yet. A novel method of control based on desired state programming was pr... Due to the nonlinearity and uncertainty, the precise control of underwater vehicles in some intelligent operations hasn’t been solved very well yet. A novel method of control based on desired state programming was presented, which used the technique of fuzzy neural network. The structure of fuzzy neural network was constructed according to the moving characters and the back propagation algorithm was deduced. Simulation experiments were conducted on general detection remotely operated vehicle. The results show that there is a great improvement in response and precision over traditional control, and good robustness to the model’s uncertainty and external disturbance, which has theoretical and practical value. 展开更多
关键词 underwater vehicle motion control fuzzy neural network desired state programming
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Model of desired speed based on vehicle dynamic
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作者 郭伟伟 王武宏 +2 位作者 毛琰 熊辉 张巍汉 《Journal of Beijing Institute of Technology》 EI CAS 2012年第1期81-84,共4页
The desired speed will help the drivers control their driver behavior that could directly influences the traffic safety. This paper presents a basic definition of a driver' s desired speed, and analyzes the effects o... The desired speed will help the drivers control their driver behavior that could directly influences the traffic safety. This paper presents a basic definition of a driver' s desired speed, and analyzes the effects of road geometer parameter, driver behavior and vehicle performance on the desired speed. By setting the familiar horizontal curve as the research environment, the generating process of the desired speed was described. Then, combined with the desired trajectory, the effect of driver' s identification of vehicle dynamic on the desired speed was highlighted. Based on the vehicle dynamic theory, a desired speed model that consisted of the desired trajectory, the driver's experience and vehicle parameter was established and numerically analyzed. 展开更多
关键词 traffic safety DRIVER desired speed horizontal curve
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Inverse Design of Phononic Crystal with Desired Transmission via a Gradient-Descent Approach
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作者 魏宇航 贺达海 《Chinese Physics Letters》 SCIE EI CAS CSCD 2023年第9期14-18,共5页
We propose a general approach based on the gradient descent method to study the inverse problem,making it possible to reversely engineer the microscopic configurations of materials that exhibit desired macroscopic pro... We propose a general approach based on the gradient descent method to study the inverse problem,making it possible to reversely engineer the microscopic configurations of materials that exhibit desired macroscopic properties.Particularly,we demonstrate its application by identifying the microscopic configurations within any given frequency range to achieve transparent phonon transport through one-dimensional harmonic lattices.Furthermore,we obtain the phonon transmission in terms of normal modes and find that the key to achieving phonon transparency or phonon blocking state lies in the ratio of the mode amplitudes at ends. 展开更多
关键词 PROPERTIES PHONON desired
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A New Method of Desired Gait Synthesis for Biped Walking Robot Based on Ground Reaction Force
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作者 张永学 《High Technology Letters》 EI CAS 2000年第4期33-38,共6页
A new method of desired gait synthesis for biped walking robot based on the ground reaction force was proposed. The relation between the ground reaction force and joint motion is derived using the D’Almbert principle... A new method of desired gait synthesis for biped walking robot based on the ground reaction force was proposed. The relation between the ground reaction force and joint motion is derived using the D’Almbert principle. In view of dynamic walking with high stability, the ZMP(Zero Moment Point)stability criterion must be considered in the desired gait synthesis. After that, the joint trajectories of biped walking robot are decided by substituting the ground reaction force into the aforesaid relation based on the ZMP criterion. The trajectory of desired ZMP is determined by a fuzzy logic based upon the body posture of biped walking robot. The proposed scheme is simulated and experimented on a 10 degree of freedom biped walking robot. The results indicate that the proposed method is feasible. 展开更多
关键词 BIPED WALKING robot desired GAIT SYNTHESIS ZMP Ground reaction force Fuzzy logic
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A desired landing points walking method enablinga planner quadruped robot to walk on rough terrain
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作者 MA Hongwen WANG Liquan ZHONG Zhi YAO Shaoming 《智能系统学报》 2011年第5期464-469,共6页
It is necessary for legged robots to walk stably and smoothly on rough terrain.In this paper,a desired landing points(DLP) walking method based on preview control was proposed in which an off-line foot motion trace an... It is necessary for legged robots to walk stably and smoothly on rough terrain.In this paper,a desired landing points(DLP) walking method based on preview control was proposed in which an off-line foot motion trace and an on-line modification of the trace were used to enable the robot to walk on rough terrain.The on-line modification was composed of speed modification,foot lifting-off height modification,step length modification,and identification and avoidance of unsuitable landing terrain.A planner quadruped robot simulator was used to apply the DLP walking method.The correctness of the method was proven by a series of simulations using the Adams and Simulink. 展开更多
关键词 legged robot preview control desired landing points planner quadruped robot
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Efficient Method to Achieve Enhanced Thermal Dimensional Stability and Desired Dimensions of Hollow Polyester Fiber
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作者 刘奎 周晖 +3 位作者 章倩 孙宝忠 张瑞云 黄莉茜 《Journal of Donghua University(English Edition)》 EI CAS 2016年第4期670-672,共3页
This study has developed an efficient method to achieve excellent thermal dimensional stability and desired dimensions of hollow polyester fiber. Firstly,the influence of thermal treatment temperate( 140-180 ℃) on th... This study has developed an efficient method to achieve excellent thermal dimensional stability and desired dimensions of hollow polyester fiber. Firstly,the influence of thermal treatment temperate( 140-180 ℃) on the degree of shrinkage of fiber was investigated. The influence was also analyzed with a 2nd heating to simulate the application situation. It was discovered that the heat treatment at a temperature which was above the application temperature( 2nd heating) would efficiently remove the internal stress in the fiber and improve the thermal dimensional stability.Secondly,the impact of heat treatment temperature on the fiber diameter and the degree of hollowness were studied. The results implied that with a fixed fiber length, higher treatment temperature led to thinner fiber and a lower degree of hollowness.Last but not least,key parameters that could further influence the fiber dimensions were investigated. The results suggested that the fiber diameters and the degree of hollowness could be further controlled by tuning the drawing speed,the spinning meter pump output and cooling status while the spinneret parameters were fixed. 展开更多
关键词 hollow diameters heating shrinkage desired dimensions spinning polyester length thinner
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The 2018 Nobel Prize in Chemistry: Engineering proteins(enzymes/peptide/antibodies) towards desired properties via the construction of random libraries 被引量:1
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作者 Zengyi Chang 《Science China(Life Sciences)》 SCIE CAS CSCD 2019年第5期713-724,共12页
The 2018 Nobel Prize in Chemistry was awarded one half to Dr. Frances Arnold (of California Institute of Technology,USA) for her work on 'directed evolution of enzymes', the other half to Dr. George Smith (of ... The 2018 Nobel Prize in Chemistry was awarded one half to Dr. Frances Arnold (of California Institute of Technology,USA) for her work on 'directed evolution of enzymes', the other half to Dr. George Smith (of the University of Missouri, USA) and Sir Gregory Winter (of MRC Laboratory of Molecular Biology, UK) for their work on 'phage display of peptides and antibodies'. 展开更多
关键词 The 2018 Nobel Prize in Chemistry TOWARDS desired PROPERTIES via the construction of RANDOM LIBRARIES Engineering PROTEINS
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China-India: Ties that Bind
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作者 GUO QING 《China Today》 2025年第1期59-61,共3页
From international student to professor,Tripathi Mani shares his thoughts on Chinese and Indian cultures and the beneficial exchanges between them.TRIPATHI Vivek Mani first learned about China from bedtime stories tol... From international student to professor,Tripathi Mani shares his thoughts on Chinese and Indian cultures and the beneficial exchanges between them.TRIPATHI Vivek Mani first learned about China from bedtime stories told by his father,a Sanskrit teacher in rural Bihar,a state in east India.Many of the stories were about the Chinese monk Xuanzang’s adventures during his long journey to India to find Buddhist scriptures.They kindled the young boy’s interest in China and the desire to visit it one day. 展开更多
关键词 INDIA INDIAN desire
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PATH PROBLEM SIMPLIFICATION WITH DESIRED BOUNDED LENGTHS IN ACYCLIC NETWORKS
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作者 Zhixiong Su Jianxun Qi Hanying Wei 《Journal of Systems Science and Systems Engineering》 SCIE EI CSCD 2015年第4期500-519,共20页
Path determination is a fundamental problem of operations research. Current solutions mainly focus on the shortest and longest paths. We consider a more generalized problem; specifically, we consider the path problem ... Path determination is a fundamental problem of operations research. Current solutions mainly focus on the shortest and longest paths. We consider a more generalized problem; specifically, we consider the path problem with desired bounded lengths (DBL path problem). This problem has extensive applications; however, this problem is much harder, especially for large-scale problems. An effective approach to this problem is equivalent simplification. We focus on simplifying the problem in acyclic networks and creating a path length model that simplifies relationships between various path lengths. Based on this model, we design polynomial algorithms to compute the shortest, longest, second shortest, and second longest paths that traverse any arc. Furthermore, we design a polynomial algorithm for the equivalent simplification of the is O(m), where m is the number of arcs. DBL path problem. The complexity of the algorithm 展开更多
关键词 Operations research path problem with desired bounded lengths equivalent simplification path length model acyclic network
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Suppression of the Coffee Ring Effect with Undetectable Disturbance of the Deposit
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作者 Shiqi Sheng Zhening Fang +4 位作者 Shiyu Gao Ruoyang Chen Ying Wang Haijun Yang Haiping Fang 《Chinese Physics Letters》 2025年第2期260-270,共11页
Suppressing the coffee ring effect(CRE)of an aqueous suspension through manipulation without affecting the remaining deposit is highly desirable for practical applications;however,this is extremely challenging.Here,we... Suppressing the coffee ring effect(CRE)of an aqueous suspension through manipulation without affecting the remaining deposit is highly desirable for practical applications;however,this is extremely challenging.Here,we demonstrate CRE suppression with undetectable disturbance of the deposit on carbon-based surfaces.This was achieved by adding ammonium bicarbonate(NH4HCO_(3)),which benefits from the dissociation of NH_(4)HCO_(3) to produce NH_(4)^(+),as well as its decomposition into NH_(3) and CO_(2) molecules.Surprisingly,NH_(4)^(+) can also function as Na^(+)/K^(+)to suppress the CRE through cation interactions,although its hydrate state is only partially positively charged.Moreover,we successfully applied this approach to enhance the morphology,resistance,and color uniformity of deposits of graphene oxide quantum dots,conductive inks,and organic dyes,respectively.This study provides a practical strategy for improving the performance of fabricated devices and paves the way for the development of high-accuracy manufacturing techniques in diverse industries. 展开更多
关键词 DEPOSIT adding desirable
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Strength,Self-flowing,and Multi-objective Optimization of Cemented Paste Backfill Materials Base on RSM-DF
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作者 LIU Chunkang WANG Hongjiang +2 位作者 WANG Hui SUN Jiaqi BAI Longjian 《Journal of Wuhan University of Technology(Materials Science)》 2025年第2期449-461,共13页
The multi-objective optimization of backfill effect based on response surface methodology and desirability function(RSM-DF)was conducted.Firstly,the test results show that the uniaxial compressive strength(UCS)increas... The multi-objective optimization of backfill effect based on response surface methodology and desirability function(RSM-DF)was conducted.Firstly,the test results show that the uniaxial compressive strength(UCS)increases with cement sand ratio(CSR),slurry concentration(SC),and curing age(CA),while flow resistance(FR)increases with SC and backfill flow rate(BFR),and decreases with CSR.Then the regression models of UCS and FR as response values were established through RSM.Multi-factor interaction found that CSR-CA impacted UCS most,while SC-BFR impacted FR most.By introducing the desirability function,the optimal backfill parameters were obtained based on RSM-DF(CSR is 1:6.25,SC is 69%,CA is 11.5 d,and BFR is 90 m^(3)/h),showing close results of Design Expert and high reliability for optimization.For a copper mine in China,RSM-DF optimization will reduce cement consumption by 4758 t per year,increase tailings consumption by about 6700 t,and reduce CO_(2)emission by about 4758 t.Thus,RSM-DF provides a new approach for backfill parameters optimization,which has important theoretical and practical values. 展开更多
关键词 cemented paste backfill response surface methodology desirability function MULTI-OBJECTIVE optimization
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Social desirability response bias confounds the effect of gender on social media addiction
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作者 Lihua Zuo Jian Mao 《Journal of Psychology in Africa》 2025年第2期241-247,共7页
This study examined how social desirability responses confound the relationship between gender and social media addiction.A total of 496 college student social media users(females=310,62.5%,mean age=20.15,SD=1.26)comp... This study examined how social desirability responses confound the relationship between gender and social media addiction.A total of 496 college student social media users(females=310,62.5%,mean age=20.15,SD=1.26)completed an online questionnaire on Social Media Addiction and Social Desirability.Mediation analysis revealed that females were at higher risk for social media addiction.On the other hand,the indirect effect of gender on social media addiction via social desirability is associated with lower social media addiction,which suggests that social desirability had a suppression effect on social media addiction associated with gender.ANOVA results showed that females reported higher social media addiction scores than males in the low social desirability group;in the high group,gender differences were insignificant.This study’s unique contribution is to suggest that females are at higher risk than males for developing addictive social media behaviors.Based on this finding,student social media safety interventions should be gender sensitive to the social desirability effect on females who may hide their true addiction as a result. 展开更多
关键词 GENDER social media addiction social desirability college students suppression effect
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Sensory Characterizations and Optimization of Cashew Apple Jam Formulations Using Baobab Powder as a Source of Pectin
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作者 Marie Bianoun Louise Dégni Doudjo Soro +3 位作者 Essan Bla Zita N’Goran-Aw Djedjro Clément Akmel Nogbou Emmanuel Assidjo Kouassi Benjamin Yao 《Food and Nutrition Sciences》 2025年第1期120-136,共17页
Cashew processing in Côte d’Ivoire focuses only on the cashew nut, to the detriment of the apple. Only a very small proportion of the apple is processed into juice. The aim of this work is to enhance the value o... Cashew processing in Côte d’Ivoire focuses only on the cashew nut, to the detriment of the apple. Only a very small proportion of the apple is processed into juice. The aim of this work is to enhance the value of cashew apples by transforming them into jam. Specifically, the aim was first to characterize the sensory properties of cashew apple jam formulations using baobab powder as a source of pectin and then to optimise the formulations. A Box-Behken design with pH, Sugar, and Baobab as factors was used to model and characterize the jam sensory descriptors, and a multivariate analysis with SensomineR was used to characterize the jam formulations. The desirability function was used to optimise the formulations. The results show globally significant regressions at the 0.05 threshold for the sensory descriptors Gelling, Brilliance, Smell, Sweetness, and (-)Astringency, with the exception of (-)Salinity. The R2 coefficients are greater than 80%. The factors studied could have effects on the sensory descriptors of cashew jam formulations. The Baobab had the main effect on the gelling, smell, and astringency of the jams. Brilliance depended on the added sugar. A product effect (p < 0.001) was observed for the descriptors Smell, Gelling, Brilliance, and Sweetness, as these allowed the panelists to find differences between the formulations. Optimum jam formulation can be achieved with 51.56% sugar and 2.12% Baobab at a pH of 3.15. Cashew apple jam using Baobab offers opportunities to add value to apples that have long been abandoned in the field. It would be important to find conditions for prolonged storage of this jam. 展开更多
关键词 Cashew Apple Sensory Characterization Jam Formulation Area Design Product Effect Overall Desirability
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Optimization of defoaming-flocculation-dewatering indices of earth pressure balance(EPB)shield muck using response surface methodology and desirability approach
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作者 Yao Lu Ming Huang +3 位作者 Chengzhao Zhang Bingnan Wang Liqian Peng Wei Wei 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第2期1134-1148,共15页
In situ recycling is one of the most effective methods to dispose of earth pressure balance(EPB)shield waste muck with residual foaming agents with high moisture content.In this context,response surface methodology(RS... In situ recycling is one of the most effective methods to dispose of earth pressure balance(EPB)shield waste muck with residual foaming agents with high moisture content.In this context,response surface methodology(RSM)was employed to quantify the effects of independent variables,including flocculant dosage,defoamer dosage,and muck drying mass(MDM)and their interactions on defoaming-flocculation-dewatering indices.The polymeric aluminum chloride(PACL)and hydroxy silicone oil-glycerol polypropylene ether(H-G)were selected as the flocculant and defoamer.The contents of surfactants and foam stabilizers in residual foaming agents were determined using the proposed empirical equation.The defoaming ratio,antifoaming ratio,turbidity,moisture content,filtration loss ratio,and fall cone penetration depth were considered as dependent variables.The accuracy of developed RSM models was verified by the analysis results of variance,residuals,and paired t-test.Combined with the desirability approach,an optimal mixing ratio of 0.078 wt%PACL,0.016 wt%H-G,and 27.882 wt%MDM was recommended,leading to a defoaming ratio of 98.34 vol%for residual foams and a moisture content of 56.72 wt%for pressure-filtration cakes.Our findings were demonstrated to be able to provide useful guidance for prediction and optimization of the in situ recycling indicators of EPB shield waste muck in metro tunnel construction sites. 展开更多
关键词 Desirability approach EPB shield Muck recycling Multiobjective optimization Response surface methodology(RSM)
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Regulated reaction pathway of CO_(2)photoreduction into CH_(4)by metal atom pair sites 被引量:1
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作者 Dong-Po He Guang-Bing Huang +8 位作者 Jun Hu Yang Wu Xiao-Dong Li Qing-Xia Chen Shan Zhu Wen-Sheng Yan Jun-Fa Zhu Yang Pan Xing-Chen Jiao 《Rare Metals》 SCIE EI CAS CSCD 2024年第9期4620-4627,共8页
The carbon dioxide(CO_(2))reduction process involves complex protonation,making the resulting product often unpredictable.To achieve the desired product,it is crucial to manipulate the reaction steps.Herein,we build t... The carbon dioxide(CO_(2))reduction process involves complex protonation,making the resulting product often unpredictable.To achieve the desired product,it is crucial to manipulate the reaction steps.Herein,we build the metal atom pair sites for selective CO_(2)photoreduction into methane.As a prototype,Ni atom pair sites loaded on the Mo S_(2)nanosheets were synthesized and verified by highresolution transmission electron microscopy(HRTEM),X-ray photoelectron spectroscopy(XPS)and X-rayabsorption near edge structure spectra(XANES).In-situ Fourier transform infrared spectroscopy(FTIR)monitors the*CHO group,a crucial intermediate in CH_(4)production,during CO_(2)photoreduction on the Ni-Mo S_(2)nanosheets,whereas this monitoring is not observed for the Mo S_(2)nanosheets.Also,theoretical calculations disclose that over the Ni-Mo S_(2)nanosheet slab,the formation energy of*CHO intermediates is determined to be lower(0.585 e V)than the desorption energy of*CO intermediates for CO production(0.64 e V),implying the higher selectivity of CH_(4)production. 展开更多
关键词 STEPS dioxide desired
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