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Strength prediction and cuttability identification of rock based on monitoring while cutting(MWC)using a conical pick
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作者 Shaofeng Wang Yumeng Wu +2 位作者 Xinlei Shi Xin Cai Zilong Zhou 《International Journal of Minerals,Metallurgy and Materials》 2025年第5期1025-1043,共19页
Real-time identification of rock strength and cuttability based on monitoring while cutting during excavation is essential for key procedures such as the precise adjustment of excavation parameters and the in-situ mod... Real-time identification of rock strength and cuttability based on monitoring while cutting during excavation is essential for key procedures such as the precise adjustment of excavation parameters and the in-situ modification of hard rocks.This study proposes an in-telligent approach for predicting rock strength and cuttability.A database comprising 132 data sets is established,containing cutting para-meters(such as cutting depth and pick angle),cutting responses(such as specific energy and instantaneous cutting rate),and rock mech-anical parameters collected from conical pick-cutting experiments.These parameters serve as input features for predicting the uniaxial compressive strength and tensile strength of rocks using regression fitting and machine learning methodologies.In addition,rock cuttabil-ity is classified using a combination of the analytic hierarchy process and fuzzy comprehensive evaluation method,and subsequently iden-tified through machine learning approaches.Various models are compared to determine the optimal predictive and classification models.The results indicate that the optimal model for uniaxial compressive strength and tensile strength prediction is the genetic algorithm-optimized backpropagation neural network model,and the optimal model for rock cuttability classification is the radial basis neural network model. 展开更多
关键词 conical picks strength prediction cuttability identification machine learning monitoring while cutting
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Water-induced changes in mechanical response and fragmentation behavior of rocks exposed to conical pick indentation:Implications for rock cuttability improvement
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作者 Xin Cai Jifeng Yuan +5 位作者 Zilong Zhou Shaofeng Wang Yunming Wang Jixiong Zhang Dan Ma Lu Chen 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第9期5465-5478,共14页
Water-weakening presents a promising strategy for the in-situ improvement of rock cuttability.This study unveils the influences of water saturation on the mechanical response and fragmentation characteristics of rock ... Water-weakening presents a promising strategy for the in-situ improvement of rock cuttability.This study unveils the influences of water saturation on the mechanical response and fragmentation characteristics of rock samples.A series of rock-cutting tests using conical pick indentation was conducted on three types of sandstone samples under both dry and water-saturated conditions.The relationships between cutting force and indentation depth,as well as typical cuttability indices are determined and compared for dry and water-saturated samples.The experimental results reveal that the presence of water facilitates shearing failure in rock samples,as well as alleviates the fluctuations in the cutting force-indentation depth curve Furthermore,the peak cutting force(F_(p)),cutting work(W_(p)),and specific energy(SE)undergo apparent decrease after water saturation,whereas the trend in the indentation depth at rock failure(D_(f))varies across different rock types.Additionally,the water-induced percentage reductions in F_(p)and SE correlate positively with the quartz and swelling clay content within the rocks,suggesting that the cuttability improvement due to water saturation is attributed to the combined effects of stress corrosion and frictional reduction.These findings carry significant implications for improving rock cuttability in mechanized excavation of hard rock formations. 展开更多
关键词 Rock-cutting Water-weakening effects conical pick Peak cutting force Specific energy Rock cuttability improvement
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Comparative analysis of rock breakage characteristics and failure mode on conventional and conical PDC cutter cutting carbonate
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作者 Xin-Kang Fu Chao Xiong +3 位作者 Huai-Zhong Shi Wen-Hao He Lu-Hai Wang Zhong-Wei Huang 《Petroleum Science》 2025年第2期821-834,共14页
The oil and gas stored in deep and ultra-deep carbonate reservoirs is the focus of future exploration and development.Conical PDC(Polycrystalline Diamond Compact)cutter,which is a new kind of PDC cutter,can significan... The oil and gas stored in deep and ultra-deep carbonate reservoirs is the focus of future exploration and development.Conical PDC(Polycrystalline Diamond Compact)cutter,which is a new kind of PDC cutter,can significantly improve the rate of penetration(ROP)and extend PDC bit life in hard and abrasive formations.However,the breakage characteristics and failure mode of the conical PDC cutter cutting carbonate rock is still masked.In this paper,a series of single-cutter cutting tests were carried out with the conical and conventional PDC cutters.The cutting force,rock-breaking process,surface morphology of cutting grooves and cuttings characteristic were analyzed.Based on the derived formula of the brittle fracture index,the failure model of carbonate rock was quantitatively analyzed under the action of conical and conventional cutter.The results show that the average cutting force of the conical cutter is less than that of the conventional cutter,which means greater stability of the cutting process using the conical cutter.Carbonate rock with calcite as the main component tends to generate blocky rock debris by conical cutter.The height of the cuttings generated by the conical cutter is 0.5 mm higher than that generated by the conventional cutter.The conical cutter exhibits enhanced penetration capabilities within carbonate rock.The accumulation of rock debris in front of the conventional cutter is obvious.Whereas,the conical cutter facilitates the cuttings transport,thereby alleviating drilling stickiness slip.At different cutting depths,the conical cutter consistently causes asymmetric jagged brittle tensile fracture zones on both sides of the cutting groove.Calculations based on the brittle fracture index demonstrate that the brittle fracture index of the conical cutter generally doubles that of the conventional cutter.For carbonate rock,the conical cutter displays superior utilization of brittle fracture abilities.The research findings of this work offer insights into the breakage process and failure mode of carbonate rock by the conical cutter. 展开更多
关键词 conical cutter Rock breakage process Brittle fracture index Failure mode Carbonate rock
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Reversed rectification of ionic liquid/water mixtures in conical nanochannels
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作者 Dongna Li Qian Sheng +4 位作者 Yewei Song Zirong Liu Yunbiao Zhao Kun Zhu Jianming Xue 《Nanotechnology and Precision Engineering》 2025年第1期94-100,共7页
Because of their remarkable properties,room-temperature ionic liquids(RTILs)are used widely in electrochemistry,fuel cells,supercapacitors,and even DNA sequencing,and many of these applications involve the transport o... Because of their remarkable properties,room-temperature ionic liquids(RTILs)are used widely in electrochemistry,fuel cells,supercapacitors,and even DNA sequencing,and many of these applications involve the transport of RTILs in nanoscale media.Particularly for single-molecule detection,the RTIL must be mixed with a solvent(e.g.,water)so that the electrolyte has both high viscosity and conductivity to obtain excellent signals.If a RTIL contains a quantity of water in bulk,this has a significant effect on its properties(e.g.,the electrochemical window),thereby limiting some applications.However,the physicochemical properties of RTILs containing water in nanoconfined spaces remain unclear,especially their ionic transport behavior.Therefore,reported here is a study of the ionic transport behavior of mixed RTIL/water solutions at the nanoscale using a single conical nanochannel as a nanofluidic platform.The conductivity of the mixtures in the nanoconfined space was closely related to the nanochannel size,and highly diluted mixed solutions resulted in a nonlinear rectificationreversed current,which was possibly due to the adsorption of cations on the nanochannel wall.The maximum rectification ratio was 114,showing excellent rectification that could be used to realize newly conceptualized nanofluidic diodes.In summary,this work provides an exhaustive understanding of the nonlinear ion transport of RTIL/water mixtures and a theoretical foundation for applying RTILs in energy storage and conversion and bio-sensing. 展开更多
关键词 Ionic liquid Single conical nanochannel CONDUCTIVITY Reversed rectification
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Active traveling wave vibration control of elastic supported conical shells with smart micro fiber composites based on the differential quadrature method
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作者 Yuxin HAO Lei SUN +1 位作者 Wei ZHANG Han LI 《Applied Mathematics and Mechanics(English Edition)》 2025年第2期305-322,共18页
This paper investigates the active traveling wave vibration control of an elastic supported rotating porous aluminium conical shell(CS)under impact loading.Piezoelectric smart materials in the form of micro fiber comp... This paper investigates the active traveling wave vibration control of an elastic supported rotating porous aluminium conical shell(CS)under impact loading.Piezoelectric smart materials in the form of micro fiber composites(MFCs)are used as actuators and sensors.To this end,a metal pore truncated CS with MFCs attached to its surface is considered.Adding artificial virtual springs at two edges of the truncated CS achieves various elastic supported boundaries by changing the spring stiffness.Based on the first-order shear deformation theory(FSDT),minimum energy principle,and artificial virtual spring technology,the theoretical formulations considering the electromechanical coupling are derived.The comparison of the natural frequency of the present results with the natural frequencies reported in previous literature evaluates the accuracy of the present approach.To study the vibration control,the integral quadrature method in conjunction with the differential quadrature approximation in the length direction is used to discretize the partial differential dynamical system to form a set of ordinary differential equations.With the aid of the velocity negative feedback method,both the time history and the input control voltage on the actuator are demonstrated to present the effects of velocity feedback gain,pore distribution type,semi-vertex angle,impact loading,and rotational angular velocity on the traveling wave vibration control. 展开更多
关键词 rotating conical shell(CS) porous metal material active vibration control elastic support differential quadrature method
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Impact rock-breaking mechanisms and energy transfer laws of conical tooth bits in hot dry rocks
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作者 LIU Qingyou HUANG Tao 《Petroleum Exploration and Development》 2025年第4期1053-1063,共11页
Based on the finite-discrete element method,a three-dimensional numerical model for axial impact rock breaking was established and validated.A computational method for energy conversion during impact rock breaking was... Based on the finite-discrete element method,a three-dimensional numerical model for axial impact rock breaking was established and validated.A computational method for energy conversion during impact rock breaking was proposed,and the effects of conical tooth forward rake angle,rock temperature,and impact velocity on rock breaking characteristics and energy transfer laws were analyzed.The results show that during single impact rock breaking with conical tooth bits,merely 7.52%to 12.51%of the energy is utilized for rock breaking,while a significant 57.26%to 78.10%is dissipated as frictional loss.An insufficient forward rake angle increases tooth penetration depth and frictional loss,whereas an excessive forward rake angle reduces penetration capability,causing bit rebound and greater energy absorption by the drill rod.Thus,an optimal forward rake angle exists.Regarding environmental factors,high temperatures significantly enhance impact-induced rock breaking.Thermal damage from high temperatures reduces rock strength and inhibits its energy absorption.Finally,higher impact velocities intensify rock damage,yet excessively high velocities increase frictional loss and reduce the proportion of energy absorbed by the rock,thereby failing to substantially improve rock breaking efficiency.An optimal impact velocity exists. 展开更多
关键词 hot dry rock finite-discrete element method conical tooth bit forward rake angle impact velocity rock temperature energy transfer rock breaking mechanism
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Theoretical study of the light-induced conical intersection in the photodissociation of molecule OH
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作者 Jinqian Liu Jialong Li +1 位作者 Dongdong Zhang Dajun Ding 《Chinese Physics B》 2025年第10期134-140,共7页
Light-induced conical intersections(LICIs)present a distinctive mechanism for nonadiabatic coupling,thereby facilitating ultrafast chemical reactions,including the indirect photodissociation of diatomic molecules.In c... Light-induced conical intersections(LICIs)present a distinctive mechanism for nonadiabatic coupling,thereby facilitating ultrafast chemical reactions,including the indirect photodissociation of diatomic molecules.In contrast to static conical intersections,LICIs are dynamically tunable,providing a pathway for precise control of molecular dissociation.In this study,we employ the time-dependent quantum wave packet method to investigate the dissociation dynamics of the OH molecule,focusing on its ground state X^(2)Πand repulsive state 1^(2)Σ~-.By varying laser field parameters(intensity,full width at half maximum(FWHM),and wavelength),we elucidate how nonadiabatic coupling governs selective dissociation channel control.Our findings reveal that the choice of initial vibrational states and the tailoring of laser conditions significantly influence dissociation pathways,providing theoretical insights into manipulating molecular dynamics via LICIs.These results provide a foundation for future experimental studies and the development of advanced molecular control techniques. 展开更多
关键词 light-induced conical intersection indirect photodissociation time-dependent quantum wave packet method
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CURDIS:A template for incremental curve discretization algorithms and its application to conics
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作者 Philippe LATOUR Marc VAN DROOGENBROECK 《虚拟现实与智能硬件(中英文)》 EI 2024年第5期358-382,共25页
We introduce CURDIS,a template for algorithms to discretize arcs of regular curves by incrementally producing a list of support pixels covering the arc.In this template,algorithms proceed by finding the tangent quadra... We introduce CURDIS,a template for algorithms to discretize arcs of regular curves by incrementally producing a list of support pixels covering the arc.In this template,algorithms proceed by finding the tangent quadrant at each point of the arc and determining which side the curve exits the pixel according to a tailored criterion.These two elements can be adapted for any type of curve,leading to algorithms dedicated to the shape of specific curves.While the calculation of the tangent quadrant for various curves,such as lines,conics,or cubics,is simple,it is more complex to analyze how pixels are traversed by the curve.In the case of conic arcs,we found a criterion for determining the pixel exit side.This leads us to present a new algorithm,called CURDIS-C,specific to the discretization of conics,for which we provide all the details.Surprisingly,the criterion for conics requires between one and three sign tests and four additions per pixel,making the algorithm efficient for resource-constrained systems and feasible for fixed-point or integer arithmetic implementations.Our algorithm also perfectly handles the pathological cases in which the conic intersects a pixel twice or changes quadrants multiple times within this pixel,achieving this generality at the cost of potentially computing up to two square roots per arc.We illustrate the use of CURDIS for the discretization of different curves,such as ellipses,hyperbolas,and parabolas,even when they degenerate into lines or corners. 展开更多
关键词 Computer graphics Curve discretization conicS RASTERIZATION Ellipse drawing conic spline conic pencil
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Study on a conical bearing for acceleration-sensitive equipment 被引量:2
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作者 Pang Hui Xu Wen +1 位作者 Dai Junwu Jiang Tao 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2024年第1期103-128,共26页
Seismic isolation effectively reduces seismic demands on building structures by isolating the superstructure from ground vibrations during earthquakes.However,isolation strategies give less attention to acceleration-s... Seismic isolation effectively reduces seismic demands on building structures by isolating the superstructure from ground vibrations during earthquakes.However,isolation strategies give less attention to acceleration-sensitive systems or equipment.Meanwhile,as the isolation layer’s displacement grows,the stiffness and frequency of traditional rolling and sliding isolation bearings increases,potentially causing self-centering and resonance concerns.As a result,a new conical pendulum bearing has been selected for acceleration-sensitive equipment to increase self-centering capacity,and additional viscous dampers are incorporated to enhance system damping.Moreover,the theoretical formula for conical pendulum bearings is supplied to analyze the device’s dynamic parameters,and shake table experiments are used to determine the proposed device’s isolation efficiency under various conditions.According to the test results,the newly proposed devices have remarkable isolation performance in terms of minimizing both acceleration and displacement responses.Finally,a numerical model of the isolation system is provided for further research,and the accuracy is demonstrated by the aforementioned experiments. 展开更多
关键词 seismic isolation acceleration-sensitive equipment the conical pendulum bearing shake table tests isolation performance numerical model
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Dynamics of a rotating ring-stiffened sandwich conical shell with an auxetic honeycomb core 被引量:1
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作者 S.JAHANGIRI A.GHORBANPOUR ARANI Z.KHODDAMI MARAGHI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2024年第6期963-982,共20页
The free vibration analysis of a rotating sandwich conical shell with a reentrant auxetic honeycomb core and homogenous isotropic face layers reinforced with a ring support is studied.The shell is modeled utilizing th... The free vibration analysis of a rotating sandwich conical shell with a reentrant auxetic honeycomb core and homogenous isotropic face layers reinforced with a ring support is studied.The shell is modeled utilizing the first-order shear deformation theory(FSDT)incorporating the relative,centripetal,and Coriolis accelerations alongside the initial hoop tension created by the rotation.The governing equations,compatibility conditions,and boundary conditions are attained using Hamilton’s principle.Utilizing trigonometric functions,an analytical solution is derived in the circumferential direction,and a numerical one is presented in the meridional direction via the differential quadrature method(DQM).The effects of various factors on the critical rotational speeds and forward and backward frequencies of the shell are studied.The present work is the first theoretical work regarding the dynamic analysis of a rotating sandwich conical shell with an auxetic honeycomb core strengthened with a ring support. 展开更多
关键词 free vibration conical shell rotating shell ring support auxetic honeycomb
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Intelligent evaluation of mean cutting force of conical pick by boosting trees and Bayesian optimization
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作者 LIU Zi-da LIU Yong-ping +3 位作者 SUN Jing YANG Jia-ming YANG Bo LI Di-yuan 《Journal of Central South University》 CSCD 2024年第11期3948-3964,共17页
Conical picks are important tools for rock mechanical excavation.Mean cutting force(MCF)of conical pick determines the suitability of the target rock for mechanical excavation.Accurate evaluation of MCF is important f... Conical picks are important tools for rock mechanical excavation.Mean cutting force(MCF)of conical pick determines the suitability of the target rock for mechanical excavation.Accurate evaluation of MCF is important for pick design and rock cutting.This study proposed hybrid methods composed of boosting trees and Bayesian optimization(BO)for accurate evaluation of MCF.220 datasets including uniaxial compression strength,tensile strength,tip angle(θ),attack angle,and cutting depth,were collected.Four boosting trees were developed based on the database to predict MCF.BO optimized the hyper-parameters of these boosting trees.Model evaluation suggested that the proposed hybrid models outperformed many commonly utilized machine learning models.The hybrid model composed of BO and categorical boosting(BO-CatBoost)was the best.Its outstanding performance was attributed to its advantages in dealing with categorical features(θincluded 6 types of angles and could be considered as categorical features).A graphical user interface was developed to facilitate the application of BO-CatBoost for the estimation of MCF.Moreover,the influences of the input parameters on the model and their relationship with MCF were analyzed.Whenθincreased from 80°to 90°,it had a significant contribution to the increase of MCF. 展开更多
关键词 rock cutting conical pick mean cutting force boosting trees Bayesian optimization
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A New Method for Generating Conics
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作者 Chengzhi Guo 《Journal of Electronic Research and Application》 2024年第3期125-128,共4页
In this paper,based on the mean value theorem of differential,a new method of generating conics such as circles and parabolas is given,and the related algorithm for generating conics is designed.
关键词 conic curve DIFFERENTIAL GENERATE ALGORITHM
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3次Hermite曲线逼近Conic曲线段有关性质 被引量:1
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作者 徐少平 刘小平 +2 位作者 李春泉 胡凌燕 杨晓辉 《江西师范大学学报(自然科学版)》 CAS 北大核心 2013年第2期199-205,共7页
利用Hermite多项式逼近法研究使用3次Hermite曲线逼近有理Conic曲线段的方法,推导3次Hermite曲线与Conic曲线段在端点处具有G2连续性、在中点具有G1连续性、保形几何属性需要满足的条件以及误差函数计算公式,通过多组不同类型的对比试... 利用Hermite多项式逼近法研究使用3次Hermite曲线逼近有理Conic曲线段的方法,推导3次Hermite曲线与Conic曲线段在端点处具有G2连续性、在中点具有G1连续性、保形几何属性需要满足的条件以及误差函数计算公式,通过多组不同类型的对比试验进一步证明了所述的关于用3次Hermite曲线逼近Conic曲线段有关性质的有效性. 展开更多
关键词 数值分析 conic曲线段 HERMITE曲线 逼近 保形
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COUPLED DYNAMIC CHARACTERISTICS AND CONTROL OF ROTOR-CONICAL MAGNETIC BEARING SYSTEM 被引量:1
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作者 杨静 虞烈 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2004年第3期189-194,共6页
The coupled dynamic characteristics of the conical electromagnetic bearing are presented and their definitions are given. On the basis of the analyses of the characteristics, the dynamic model of five degrees of freed... The coupled dynamic characteristics of the conical electromagnetic bearing are presented and their definitions are given. On the basis of the analyses of the characteristics, the dynamic model of five degrees of freedom (five-DOF) rotor-conical electromagnetic bearing system is made, and the influence of the coupled characteristics on the system optimal controller is analyzed. 展开更多
关键词 conical electromagnetic bearing current coupling geometry coupling optimal controller
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Conical bubble photoluminescence from rhodamine 6G in 1, 2-propanediol 被引量:2
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作者 何寿杰 艾希成 +5 位作者 董丽芳 陈得应 王骐 李雪辰 张建平 王龙 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第7期1615-1620,共6页
A modified U-tube conical bubble sonoluminescence device is used to study the conical bubble photoluminescence. The spectra of conical bubble sonoluminescence at different concentrations of rhodamine 6G (Rh6G) solut... A modified U-tube conical bubble sonoluminescence device is used to study the conical bubble photoluminescence. The spectra of conical bubble sonoluminescence at different concentrations of rhodamine 6G (Rh6G) solution in 1,2- propanediol have been measured. Results show that the sonoluminescence from the conical bubbles can directly excite Rh6G, which in turn can fluoresce. The light emission of this kind is referred to as conical bubble photoluminescence. The maximum of fluorescence spectral line intensity in the conical bubble photoluminescence has a red shift in relative to that of the standard photo-excited fluorescence, which is due to the higher self-absorption of Rh6G, and the spectral line of conical bubble photoluminescence is broadened in width compared with that of photo-excited fluorescence. 展开更多
关键词 CAVITATION conical bubble sonoluminescence conical bubble photoluminescence
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Ultrafast Dynamics Through Conical Intersections in 2,6-dimethylpyridine Studied with Time-resolved Photoelectron Imaging
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作者 邱学军 朱荣淑 +3 位作者 徐晏琪 布玛利亚·阿布力米提 张嵩 张冰 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2011年第5期551-556,I0003,共7页
The ultrafast dynamics through conical intersections in 2,6-dimethylpyridine has been studied by femtosecond time-resolved photoelectron imaging coupled with time-resolved mass spectroscopy. Upon absorption of 266 nm ... The ultrafast dynamics through conical intersections in 2,6-dimethylpyridine has been studied by femtosecond time-resolved photoelectron imaging coupled with time-resolved mass spectroscopy. Upon absorption of 266 nm pump laser, 2,6-dimethylpyridine is excited to the S2 state with a ππ character from So state. The time evolution of the parent ion signals consists of two exponential decays. One is a fast component on a timescale of 635 fs and the other is a slow component with a timescale of 4.37 ps. Time-dependent photo- electron angular distributions and energy-resolved photoelectron spectroscopy are extracted from time-resolved photoelectron imaging and provide the evolutive information of S2 state. In brief, the ultrafast component is a population transfer from S2 to S1 through the S2/S1 conical intersections, the slow component is attributed to simultaneous IC from the S2 state and the higher vibrational levels of S1 state to So state, which involves the coupling of S2/S0 and S1/So conical intersections. Additionally, the observed ultrafast S2--+S1 transition occurs only with an 18% branching ratio. 展开更多
关键词 2 6-dimethylpyridine Photoelectron imaging conical intersection Internalconversion Time-resolved spectroscopy
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Steady Characteristics of the Water-Lubricated Conical Bearings
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作者 李胜波 敖宏瑞 +2 位作者 姜洪源 KORNEEV Andrey Yurievich SAVIN Leonid Alexeevich 《Journal of Donghua University(English Edition)》 EI CAS 2012年第2期115-122,共8页
The water-lubricated conical bearing has attracted attentions of researchers for its simple structure, easily adjusted gap (fdm thickness ), lower friction loss, and less pollution in application. A mathematic model... The water-lubricated conical bearing has attracted attentions of researchers for its simple structure, easily adjusted gap (fdm thickness ), lower friction loss, and less pollution in application. A mathematic model with consideration of the effects of turbulence, two-phase flow, and temperature on the pressure field at bearing surface is proposed here. Using this model, the Reynolds' equation and energy equation are solved in which the thermo- physical properties of the water as lubricant are taken into account. The dependency of characteristics of bearing, such as load-earrying capacity, flow rate (pumping losses ), and frictional losses, on angular velocity, conical angle, and radial eccentricities, is presented. The research results are beneficial to the improvement of the efficiency of conical bearing and the environmental protection. 展开更多
关键词 water-lubricated conical bearing hybrid conical bearing load-carrying capacity flow rate: frictional and DumDine losses
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Conical Sonic-Supersonic Solutions for the 3-D Steady Full Euler Equations
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作者 Yanbo Hu Xingxing Li 《Communications on Applied Mathematics and Computation》 2023年第3期1053-1096,共44页
This paper concerns the sonic-supersonic structures of the transonic crossflow generated by the steady supersonic flow past an infinite cone of arbitrary cross section.Under the conical assumption,the three-dimensiona... This paper concerns the sonic-supersonic structures of the transonic crossflow generated by the steady supersonic flow past an infinite cone of arbitrary cross section.Under the conical assumption,the three-dimensional(3-D)steady Euler equations can be projected onto the unit sphere and the state of fluid can be characterized by the polar and azimuthal angles.Given a segment smooth curve as a conical-sonic line in the polar-azimuthal angle plane,we construct a classical conical-supersonic solution near the curve under some reasonable assumptions.To overcome the difficulty caused by the parabolic degeneracy,we apply the characteristic decomposition technique to transform the Euler equations into a new degenerate hyperbolic system in a partial hodograph plane.The singular terms are isolated from the highly nonlinear complicated system and then can be handled successfully.We establish a smooth local solution to the new system in a suitable weighted metric space and then express the solution in terms of the original variables. 展开更多
关键词 Three-dimensional(3-D)full Euler equations conical flow conical-sonic Characteristic decomposition Classical solution
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A NEW DERIVATIVE FREE OPTIMIZATION METHOD BASED ON CONIC INTERPOLATION MODEL 被引量:9
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作者 倪勤 胡书华 《Acta Mathematica Scientia》 SCIE CSCD 2004年第2期281-290,共10页
In this paper, a new derivative free trust region method is developed based on the conic interpolation model for the unconstrained optimization. The conic interpolation model is built by means of the quadratic model f... In this paper, a new derivative free trust region method is developed based on the conic interpolation model for the unconstrained optimization. The conic interpolation model is built by means of the quadratic model function, the collinear scaling formula, quadratic approximation and interpolation. All the parameters in this model are determined by objective function interpolation condition. A new derivative free method is developed based upon this model and the global convergence of this new method is proved without any information on gradient. 展开更多
关键词 Derivative free optimization method conic interpolation model quadratic interpolation model trust region method unconstrained optimization
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Heat Transfer and Resistance Characteristics of Conical Spiral Tube Bundle Based on Field Synergy Principle 被引量:9
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作者 YAN Ke GE Peiqi +1 位作者 HU Ruirong MENG Haitao 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2012年第2期370-376,共7页
Conical spiral tube bundle are universally used in heat transfer enhancement in heat exchangers.The heat transfer and resistance of the tube bundle are affected greatly by the conical structure,so the analysis of it i... Conical spiral tube bundle are universally used in heat transfer enhancement in heat exchangers.The heat transfer and resistance of the tube bundle are affected greatly by the conical structure,so the analysis of it is necessary.In order to a further evaluation,the heat transfer and resistance characteristics of conical spiral tube bundle are investigated with regression analysis based on numerical simulation data.The correlations of heat transfer and pressure drop of conical spiral tube bundle are proposed both in laminar and turbulent fluid flow.On the based of the field synergy principle,the synergy of four vectors,the velocity,the velocity gradient,the temperature gradient and the pressure gradient,are calculated and discussed via the user defined function(UDF) program.The synergy angles β and θ,which respectively denote the performance of heat transfer enhancement and pressure drop of the conical spiral tube bundle,are analyzed.Finally,the comprehensive performance of the conical spiral tube is evaluated by the synergy angle γ and all of the three synergy angles of conical spiral tube bundle are compared to both bare tube and thin cylinder-interpolated tube.The analysis of the synergy angles shows that the heat transfer enhancement and pressure drop of conical spiral tube bundle are smaller than that of the thin cylinder-interpolated tube,while the comprehensive performance of conical spiral tube bundle is greater.The analysis of the heat transfer and pressure drop of conical spiral tube is valuable and instructional on the design and optimum of conical spiral tube bundle heat exchangers. 展开更多
关键词 conical spiral tube bundle field synergy principle regression analysis
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